What is the equation of the line that passes through the point (-3,1) and has a slope of -3?

Answers

Answer 1

Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Since line has a slope of -3, equation is y = -3x + c.

Substitute (-3,1) into the equation to find c.

1 = -3(-3) + c

c = -8

Hence, equation of line is y = -3x - 8.


Related Questions

professor smith loves dark chocolate, and she would like to find out the proportion of the population that shares her preference. she randomly sampled 150 people, and 120 people choose dark chocolate. to construct a 95% confidence interval, she should use:

Answers

Use 1-Prop Z Int to create a 95% confidence interval.

Z test should be employed because there is only one set of samples collected and the sample size is huge.

An observed percentage is compared to a theoretical one using a one proportion z-test. The test statistic is determined as follows:

z = (p-p0) / √(p0(1-p0)/n)

where:

p = observed sample proportion

p0 = hypothesized population proportion

n = sample size

You can reject the null hypothesis if the p-value associated with the test statistic z is less than your selected level of significance (popular choices are 0.10, 0.05, and 0.01).

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Practice Problems
1. Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels
22 meters in 10 seconds. Who was moving faster? Explain your reasoning
2. Here are the prices for cans of juice that are the same brand and the same size at
different stores. Which store offers the best deal? Explain your reasoning
Store X: 4 cans for $2.48
per can
Store Y: 5 cans for $3.00
Store Z: 59 cents
Topic B
3. Costs of homes can be very different in different parts of the United States.
1. A450-square-foot apartment in New York City costs $540,000. What is the
price per square foot? Explain or show your reasoning
2. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square
foot. How much does this home cost? Explain or show your reasoning
4. There are 33.8 fuld ounces in a liter. There are 128 fuid ounces in a galon. About
how many liters are in a gation?
A 2
B. 3
C. 4
D. 5
Is your estimate larger or smaller than the actual number of liters in a gallon? Explain
how you know.
-

Answers

Answer:

1. Mai was moving faster as she covered a greater distance in the same amount of time.

Speed = Distance

               -----------

                Time

2. The best deal is Store Z. We must divide to determine the price each business is charging for a single can in order to particularly choose the greatest deal.

For Store X, each can is $0.62

For Store Y, each can is $0.60

Store Z is the best deal due to how cheap each can of juice costs.

3 (Part 1) It costs $1,200 for each square foot. The cost of the apartment is $540,000 & the area of the apartment is 450 feet. You can divide 540,000 by 450 and you should get 1,200.

3 (Part 2) The home costs $231,000. You can use the two numbers in the question "2,100" and "110". You should get $231,000 after adding those two numbers.

4. Approximately 3.8 liters are in a gallon. 3.8 is closest to 4 so you can round it up to 4 liters.

Step-by-step explanation:

The side lengths of a rectangle have a ratio of 7 to 5. If the perimeter is 300 meters, find the length and width of the rectangle.

Answers

The length is 25 cm and width is 35 cm. A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal and parallel.

What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter. There stood several practical applications for calculating the perimeter. Perimeter is the length of the shape's boundary. It is given by the sum of the shape's sides. It has one dimension and is measured in linear units. Area, on the other hand, quantifies the amount of space occupied by the shape. It has two dimensions and is measured in square units. The perimeter of an object is the distance around it.

Therefore,

The sides of the rectangle are in the ratio of 7: 5

Let the length 1=5x

and the breadth b=7 x

Now, perimeter =2(1+b)=300cm

2(5 x+7 x)=300

2(35 x)=300

70 x=300

x=4.28

Therefore, Length 1=5x =25 cm

and the breadth b=7x= 35 cm

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NEED HELP ASAP THIS IS OVERDUE !!!

Answers

Answer:

A

Step-by-step explanation:

The slope goes up by 11 and over by 1.

Answer: D

Step-by-step explanation:

y= [tex]\frac{1}{55}[/tex]×

You rent an apartment that costs \$1000$1000 per month during the first year, but the rent is set to go up 8% per year. What would be the rent of the apartment during the 5th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

If you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount  of the apartment during the 5th year of living in the apartment is $1469.32

The initial rent amount = $1000

The percent of rent increase each year = 8%

Time period = 5 years

Here we can use the compound interest equation

A = [tex]P(1+\frac{r}{100})^t[/tex]

Substitute the values in the equation

The rent amount  of the apartment during the 5th year of living in the apartment = [tex]1000(1+\frac{8}{100})^5[/tex]

= $1469.32

Hence, if you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount  of the apartment during the 5th year of living in the apartment is $1469.32

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David will rent a car foe a day. The rental company offers two pricing options: Option A and Option B. For each pricing option, cost (in dollars) depends on miles driven, as shown below.

Answers

Let

y ----> total cost in dollars

x -----> number of miles

we have that

Option B

y=50

Option A

Find out the slope

take two points from the graph

(0,20) and (150,50)

m=(50-20)/(150-0)

m=30/150

m=1/5=$0.20 per mile

therefore

y=0.20x+20

Part A

For x=75 miles

Option A -----> y=0.20(75)+20=$35

Option B ------> y=$50

therefore

Option A costs less

Find out the difference

$50-$35=$15

Cost $15 less than the other option

Part B

Looking at the graph

For x=150 miles

Both options cost the same

If David drives more than this amount option B costs less

Which of the following values are solutions to the inequality 9 ≤ -7+ 4x?
I. - 4
II. O
III. 4

Answers

Answer: Inequality Form: x ≥ 4

lll. 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Your answer is x ≥ 4

Step-by-step explanation:

a) Simplify both sides of the inequality.

9 ≤ 4x − 7

b) Flip the equation.

4x − 7 ≥ 9

c) Add 7 to both sides.

4x − 7 + 7 ≥ 9 + 7

4x ≥ 16

d) Divide both sides by 4.

4x/4 ≥ 14/4

x ≥ 4



Which number is greatest?
-1
-4
-6

Answers

Answer:

Step-by-step explanation:

-1>-4>-6

-1 is the greatest number.

It’s -1
You’re talking about negatives therefore the bigger your negative number is the less it’s going to be, the smaller your negative number is the bigger it’s going to be.
Kinda confusing but just don’t overthink it

Two numbers have a sum of 35 and a product of 250. what is the number ​

Answers

it’s 25 and 10
25 x 10 = 250
25 + 10 = 35

What is the y-intercept in the equation y = 45x + 65?

Answers

Answer:

The y intercept is : 65

Step-by-step explanation:

The y intercept is 65 as it is in the form of y=mx+c.

The c is the y intercept, being 65

1/2 (7/10-3/5) + -1.9

Answers

Answer: -1 17/20

Step-by-step explanation: use order of operations to solve, parenthesis, multiplication, addition/subtraction

note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. 7 women and 7 men are on the faculty in the mathematics department at a school. how many ways are there to select a committee of five members of the department if at least one woman must be on the committee?

Answers

No. of ways of selecting the 5 member committee by combination= 1981

What are the number of ways of selecting the 5 member committee ?

No. of women faculty in the mathematics department = 7

No. of men faculty in the mathematics department = 7

Total number of faculty members = 14

Condition - at least one woman must be on the committee

No. of ways of selection = C (14, 5) - C (7, 5)

We know that combination C(n , r) = [tex]\frac{n!}{(n-r)!r!}[/tex]

Consider the total combination C (14, 5),

[tex]C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002[/tex]              

                                   

Consider the combination of men C (7, 5) ,

[tex]C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21[/tex]

No. of ways of selection = C (14, 5) - C (7, 5)

                                        = 2002 - 21

                                        =1981

No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981

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Ms.walker bought a computer for 15% off from the list price of p dollars. if the sales tax was 8%, how much did she pay for the computer including sales tax?

Answers

Ms. Walker paid $0.918*p for the computer including sales tax .

In the question ,

it is given that

discount on list price for the computer is 15%

sales tax = 8%

let the list price for the computer be $p  .

So, sales price is = p - 0.15*p = 0.85*p

tax on sale price is = 8% of 0.85*p = 0.08*0.85*p = 0.068*p

Total Price = sale price + tax on sale price

Substituting the values of tax and sale price ,

we get

total price = 0.85*p + 0.068*p

= 0.918*p

Therefore , she paid $0.918*p for the computer including the sales tax .

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How many positive factors of 96 are also multiples of 12?

Answers

The number of positive factors of 96  which are also multiples of 12 are 4 which are 12,24,48, and 96.

Positive factors of 96 = 1,2,3,4,6,8,12,16,24,32,48 and, 96

Multiples of 12 upto 96 = 12,24,36,48,60,72, 84 and 96

Common numbers between the two are 12,24,48 and 96.

Hence, there are only 4 positive factors of 96 which are also the multiples of 12

Factors

Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left.

Multiples

A multiple is a result obtained by multiplying a number by an integer(it shouldn’t be a fraction). The multiples of the whole number are obtained by taking out the product of the counting numbers and that of whole numbers.

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If Santa drives at an average speed of 60 miles per hour for a distance of 1,260 miles, how long will Santa's trip take?

Answers

Step 1: Speed is defined as the rate of covering a distance, mathematically it is given by

[tex]\begin{gathered} S\text{peed}=\frac{\text{distance}}{\text{time}} \\ S=\frac{d}{t} \end{gathered}[/tex]

Step 2: Make the time (t) of the subject in the above speed formula

[tex]t=\frac{d}{S}[/tex]

Step 3: Given the distance covered and the average speed used during the trip as

[tex]\begin{gathered} S=60\text{miles per hour} \\ d=1260\text{ miles} \end{gathered}[/tex]

Step 4: Substitute the values for distance and speed in the time formula in step 2

[tex]\begin{gathered} t=\frac{d}{S} \\ t=\frac{1260}{60} \\ t=21\text{ hours} \end{gathered}[/tex]

Hence, Santa's trip will take up to 21 hours

Answer:

To find out the time required to travel the distance of 1260 miles we need to divide the total distance travelled by the distance travelled in one hour.

[tex]1260/60=21[/tex]

So, it tool 21 hours for Santa to complete the trip

Determine whether the two triangles are similar. If they
are similar, write the
similarity statement.

Answers

Answer:

  not similar

Step-by-step explanation:

You want to know if two isosceles triangles are similar, given that one has a base angle of 78°, and the other has an a.pex angle of 16°.

Base angle

The base angles of the triangle with a.pex angle 16° will be ...

  (180° -16°)/2 = 82° . . . . . . not 78°

Similarity

Two isosceles triangles will be similar if they have congruent base angles. These triangles do not, so they are not similar.

a random sample of 80 observations results in 50 successes. a. construct the 95% confidence interval for the population proportion of successes. b. construct the 95% confidence interval for the population proportion of failures

Answers

In 95% confidence interval for the population proportion of successes

exists CI = 0.625 +/- 1.96 × sqrt(0.625 × 0.375/80).

In 95% confidence interval for the population proportion of failures

exists CI = 0.375 +- 1.96 × sqrt(0.375 × 0.625/80).

What is meant by confidence interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval. A 95% confidence interval is narrower than a 99% confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

a) Sample proportion of successes (phat) = 50/80 = 0.625

z-critical for 95% CI is 1.96

CI = 0.625 +/- 1.96 × sqrt(0.625 × 0.375/80)

b) sample proportion of failures (phat) = 30/80 = 0.375

CI = 0.375 +- 1.96 × sqrt(0.375 × 0.625/80)

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A car's velocity is modeled by v(t) = 0.5t^2 -14t+ 80 for 0 less than or equal to t less than or equal 14, where the velocity is in feet per second and time is in seconds. Where does the car come to a complete stop?

Answers

The car stops after moving for 20 seconds

How to determine when the car comes to a stop?

From the question, the function is given as

v(t) = 0.5t^2 - 14t + 80

When the car comes to a stop, the vehicle is 0

This is represented as

v(t) = 0

So, we have

0.5t^2 - 14t + 80 = 0

Expand the equation

0.5t^2 - 10t - 4t + 80 = 0

Factorize the equation

0.5t(t - 20) - 4(t - 20) = 0

So, we have

(0.5t - 4)(t - 20) = 0

Solve for t

t = 8 and t  = 20

20 is greater than 8

Hence, the car comes to a stop at 20 seconds

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12 friends are sharing 8 packs of pencils. What fraction of a package will each friend receive?

Answers

Answer:

33/50

Step-by-step explanation:

8/12=.66666667

.6666667=33/50

33/50 in simplest form is 33/50

hope this helped

have a good day ^^

help please do in few mins

Answers

The length of the red line segment on this number line is: C. 2 1/2.

What is a number line?

A number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to compare or determine the difference (distance) between two numbers plotted on it. Additionally, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.

Note: Each interval on this number line represents 1/4 and the total intervals between the red dots is 10.

From the number line shown above, we have:

Distance = 10 ×  (1/4)

Distance = 10/4

Distance = 5/2

Distance = 2 1/2.

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The measures of the angles of a triangle are shown in the figure below. Solve for x.
54°
(7x+1)°

Answers

The value of x according to the complete task content as given is; 5.

Sum of interior angles in a triangle.

It follows from the complete task content that a right angled triangle is given(in which case one of the angles is a right angle = 90°).

Hence, the required value of x can be determined from the; sum of interior angles of a triangle as follows;

90° + 54° + 7x + 1° = 180°

7x = 180° - 90° - 54° - 1°

Evaluate the right side of the equation;

7x = 35°

Divide both sides by; 7;

x = 35°/7

x = 5.

Ultimately, the value of x according to the task content is; 5.

Remark:

The completed task content is; The measures of the angles of a triangle are shown in the figure below. Solve for x. The figure is a right triangle with the other two interior angles 54° and (7x + 1)°.

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Of the ice cream cones sold yesterday at Zeke's Ice Cream Shop, 3/10 were chocolate and another 3/10 were vanilla. What fraction of the ice cream cones sold were either chocolate or vanilla?

Answers

The fraction of ice cream cones sold that are either chocolate or vanilla is 3/5.

What is the fraction?

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 3/5. 3 is the numerator and 5 is the denominator.

In order to determine the fraction of ice cream cones sold that are either chocolate or vanilla, add the fraction of chocolate cones sold and vanilla cones sold together. Addition is the process of determining the sum of two or more numbers.

Fraction of ice cream cones sold that are either chocolate or vanilla = 3/10 + 3/10 = 6/10 = 3/5.

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Find the equivalent ratio to the ratio 9 to 27 by simplifying the ratio. 3 to 1 , 1 to 3, 1 to 27 ,9 to 3

Answers

Given data:

The given ratio is 9:27.

The given ratio can be written as,

[tex]\begin{gathered} 9\colon27=\frac{9}{27} \\ =\frac{1}{3} \\ =1\colon3 \end{gathered}[/tex]

Thus, the given ratio can be written as 1:3 so, second option is correct.


Reuben drove 243 miles using 12 gallons of gas. At this rate, how many miles would he drive using 16 gallons of gas?

Answers

Answer:

324 miles

Step-by-step explanation:

Set up a proportion

243

12

=

x

16

Cross multiply

12

x

=

3888

x=324 miles

What is the answer for this as the y- intercept of two points? (-6,-5) and (-4,-4)

Answers

The slope intercept form of the equation that passes through (-6, -5) and (-4, -4) is y = 1 / 2x - 2

How to represent equation in slope intercept form?

The equation in slope intercept form can be represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, let's find the slope of the lines using (-6, -5) and (-4, -4).

m = y₂ - y₁ / x₂ - x₁

m = -4 + 5 / -4 + 6

m = 1 / 2

Therefore, lets find the y-intercept using (-4, -4)

-4 = 1 / 2 (-4) + b

-4 = -2 + b

b = -4 + 2

b = -2

Therefore, y = 1 / 2x - 2

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The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2

What is slope intercept form?

The equation in slope intercept form can be represented as :

y = MX + b

where m is the slope, b is the y-intercept

Therefore, to determine the slope of the lines using (-6, -5) and (-4, -4).

m = y₂ - y₁ / x₂ - x₁

m = -4 + 5 / -4 + 6

m = 1 / 2

Therefore, the y-intercept using (-4, -4)

-4 = 1 / 2 (-4) + b

-4 = -2 + b

b = -4 + 2

b = -2

Thus, y = 1 / 2x - 2

The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2

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with grade > * 0.2 Add, subtract, multiply, and divide whole numbers: word problem
A group of tourists needs rental cars to get around the city. There are 3,376 tourists in
the group. If each rental car holds 8 people, how many cars will the group need?

Answers

Using division, we know that the number of cars needed by 3,376 tourists is 422.

What is division?The division is splitting into equal parts or groups.The division allows us to divide or 'share' numbers to find an answer.Division sign (÷) is a symbol consisting of a short horizontal line with a dot above and another dot below, used to indicate mathematical division.The division of any number by zero is undefined. In this case, the result can be written as infinity. For example, 15/0 = ∞, i.e. undefined.We can represent the division with ÷, slash (/), or a horizontal line ( _ ). We can use these symbols at our convenience when dealing with different types of computations or division questions.

So, the total number of groups of tourists = 3376

One car holds 8 people.

To find the number of cars needed. Hence,

The number of cars needed = 3376/8= 422

Therefore, using division we know that the number of cars needed by 3,376 tourists is 422.

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Select all of the following equation(s) that are quadratic in form.

Answers

A C E

Those are the answers

Answer:

A- x4 – 6x2 – 27 = 0D- 6(2x + 4)2 = (2x + 4) + 2E- 6x4 = -x2 + 5

Step-by-step explanation:

arrange the numbers in increasing order a. 8.08 8.081 8.09 8.008b. 14.204. 14.200. 14.240 14.210

Answers

Given:

a)

[tex]8.08,8.081,8.09,8.008[/tex]

b)

[tex]14.204,14.200,14.240,14.210[/tex]

Required:

To arrange in the increasing order.

Explanation:

a)

Here, the first two places' numbers are the same.

Let us check the hundredth decimal place.

The lowest number is 8.008.

The second lowest number is 8.08.

The third lowest number is 8.081

The fourth lowest number is 8.09.

So, the numbers are in ascending order is,

[tex]8.008,8.08,8.081,8.09[/tex]

b) Here, the first t places' numbers are the same.

Let us check the hundredth decimal place.

The lowest number is 14.200.

The second lowest number is 14.204.

The third lowest number is 14.210.

The fourth lowest number is 14.240.

So, the numbers ar

A store sells 3 T-shirts for 28.14

Answers

Answer:

Step-by-step explanation:

1 T shirt = 28.14

There are 2 methods this can be done.

Method `1

Adding 3 times

28.14 + 28.14 + 28.14 = $84.42

Method 2

Multiplying 28.14 by 3

28.14 times 3 = $84.42

Therefore answer is 84.42

Sandi randomly selects a single bill from an envelope containing 8 ones, 5 fives, 4 tens, and 3 twenties. Whatis the expected value of the money she selects?expected value =

Answers

the formula to get the expected value is

[tex]E(x)=\sum ^n_{i\mathop=1}x_if(x_i)[/tex]

So, first we calculate teh probabilities. We have 20 bills in total. so we divide the quantity of bills of each value by the total:

we have 8 ones: 8/20= 2/5

5 fives: 5/20=1/4

4 tens: 4/20= 1/5

3 twenties = 3/20

now, we multiply each value with te probabilitiy of picking it and add all

[tex]E=\text{ 1}\cdot\frac{2}{5}+5\cdot\frac{1}{4}+10\cdot\frac{1}{5}+3\cdot\frac{3}{20}=\text{ 4.1}[/tex]

the expected value is 4.1

Other Questions
Which organism from the video is the least useful for relative dating?answer: scallop this is possibly because scallops are still common vs. any other option that was prehistoric [ferns, trilobite, dino, sycamore leaf] Tommy earned $88.00 working for 5 hours. At this rate, how much will Tommy earn working for 12 hours? beginning inventory at retail (base year)$ 120,000 ending inventory at retail$ 168,000 beginning cost-to-retail percentage40% current-year cost-to-retail percentage45% retail price index for the year1.12 what is the estimate of ending inventory using the dollar-value lifo retail method? Q.27 1984Which is the most accurate summary of this excerpt?Select one:a.The proles are completely aware of the power they have individually. They feel strong and satisfied. They do not need anyone else. Even the Brotherhood avoids them. Proles know their lives are superior to all.b.The proles are not fully aware of their collective power. If they would only decide to unite, they could easily destroy Big Brothers Party. Because of their situation, they are in the best position to rebel.c. The proles will soon be aware of their own power. All of the signs of their uprising are obvious. Soon, even Oceanias enemies wont be able to stop the proles. People like Winston will have no place to turn to for help.d. It is best if the proles are not aware of the power that they have. If they take over, it will completely destroy Oceania. The entire kingdom would suffer worse than it suffers now. The proles cannot handle power. Can someone help me with these two questions, Im not sure if Im correct or not. consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)? Find the value of $x$ that makes this equation true:\[2x + 5 = 1.99x + 22.\]Please help quick! what is the name of the function which has the form f(x)=mx+b, where m>0, and how can the graph of the function be described? The solution process is shown for any equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop down menu. PLEASE HELP QUICKLY What is the center of the hyperbola?(y+3)^2/9 (x2)^2/2 = 1Enter your answer by filling in the boxes. Which of the following is a correct interpretation of the expression -8 + (-8)? What was one effect of the historical development shown in this illustration A) the king was overthrown and communism was introduced B) the king became Enlightenment despot and a totalitarian government was created C) a republic was established and the king was beheaded D) a directory was formed and the king maintained his power if x=2, then x^2=4, what is the inverse or give a counterexample a researcher argues that individuals with low self-control are more likely to commit crimes than individuals with high self-control. the dependent variable in this proposition can be stated most clearly as: Add the complex numbers 3 + 11i and -3 - 11i.6 + 0i0 + 0i0 + 22i- 9 + 121i if you leave your study place in the library and leave your laptop open, or some indication that the space is being used, you are probably making use of: 5/7 of the teaching staff in a certain primary school are females, what fraction of the staff are males The graph of y = 2x2 - 4x + 2 opens downward.true or false Why is utopia an example of a Christian humanism based work timothy owns 540 shares of countess corporation, which is priced at $13.53 per share. the company plans a 1-for-4 reverse stock split. how many shares will timothy own and what will the share price be after the reverse stock split?