The equation of line that passes through the points (-6,-5) and (-4,-4) is x - 2y = 4 .
The equation of the line passing through the points (x₁,y₁) having slope as m is given by the formula .
y-y₁ = m(x-x₁)
In the question ,
it is given that
the required line passes through the points (-6,-5) and (-4,-4) ,
So , the slope(m) is = (-4 -(-5)/(-4 -(-6))
= (-4+5)/(-4+6)
= 1/2
the equation of the line passing through (-4,-4) and slope as 1/2 is
(y -(-4)) = (1/2)(x -(-4))
y + 4 = (x+4)/2
2y + 8 = x + 4
x - 2y = 8-4
x - 2y = 4
Therefore , The equation of line that passes through the points (-6,-5) and (-4,-4) is x - 2y = 4 .
The given question is incomplete , the complete question is
Complete the equation of line that passes through the points (-6,-5) and (-4,-4) .
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due in an hour pls help!!
If the point M (4,3) is translated using the rules (x, y) ⇒ (x, y-2), then the coordinates of the M' = (4,1)
The point is M(4,3)
The translation rules is
(x, y) ⇒ (x, y-2)
The translation states that the movement of the graph either horizontally or vertically. When we translate the graph, the shape and size will not change, only the coordinates of the graph changes.
We know the values of
x = 4
y = 3
Substitute the values in the equation
The coordinates of the M' = (x, y-2)
= (4, 3-2)
= (4,1)
Hence, if the point M (4,3) is translated using the rules (x, y) ⇒ (x, y-2), then the coordinates of the M' = (4,1)
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which measure of variability is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean? group of answer choices iqv interquartile range variance standard deviation
Standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.
What is measure of variability?
Measures of variability provide descriptive information about the dispersion of scores within data.
Standard deviation uses all the values in the distribution in it's calculation hence the standard deviation provides the most information.
Therefore standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.
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You had $21 to spend on five notebooks after buying them u had $6 dollars how much did each notebook cost.
Let x be the cost of each notebook. We know that we bought 5 of them, then the total cost of the notebooks is:
[tex]5x[/tex]We had 21 dollars and we spent 5x on the notebooks, this can be express as:
[tex]21-5x[/tex]Finally we know that this is equal to the six dollars we had at the end, then we have the equations:
[tex]21-5x=6[/tex]Solving for x we have:
[tex]\begin{gathered} 21-5x=6 \\ 21-6=5x \\ 5x=15 \\ x=\frac{15}{5} \\ x=3 \end{gathered}[/tex]Therefore each notebook cost $3
The boxplot displays the arm spans for 44 students.
Which of the following is not a true statement?
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
Answer:
A) there are no outliers in this distribution.
What is the solution to 4x-5(2x-1) <= 7(2x+3)
Julia just let a new candle and then let it burn all the way down to nothing. The candle
burned at a rate of 0.75 inches per hour and its initial length was 9 inches. Write an
equation for L, in terms of t, representing the length of the candle remaining
unburned, in inches, t hours after the candle was lit.
L=
Answer: L= 9-.75x
Step-by-step explanation: since it starts at 9 inches tall and is melting at .75 inches per hour, it's going to be the initial length, 9, minus the rate, .75, times the time/hours past, so x
Martin, a carpenter wants to make a spice rack for the kitchen. He cuts a 16.24 feet long plank into 5 pieces of equal length. What is the length of each piece of wood ? Round to the nearest hundredth.
Solution
For this case we can solve the problem with the following operation:
[tex]\frac{16.24ft}{5}=3.248ft[/tex]And rounded the answer we got 3.25 ft
16.24*100 = 1624
5*100 = 500
And we can do this:
1624/500 = 812/250 = 406/125
003
_____
125 / 406
-0
____
-40
-0
____
406
-375
_____
31
Which expression is equivalent to the given expression? (+2+6)-(- 2+3) x +9 O A I O B. - } +3 O C. x+3 OD. - *+9
Answer:
The equivalent expression is;
[tex]\frac{5}{7}x+3[/tex]Explanation:
We want to simplify the expression;
[tex](\frac{1}{7}x+6)-(-\frac{4}{7}x+3)[/tex]we will first multiply the negative by every term in the bracket, then simplify by collecting the like terms.
[tex]\begin{gathered} \frac{1}{7}x+6-(-\frac{4}{7}x)-(+3) \\ \frac{1}{7}x+6+\frac{4}{7}x-3 \\ \text{collecting the like terms we have;} \\ \frac{1}{7}x+\frac{4}{7}x+6-3 \\ \frac{5}{7}x+3 \end{gathered}[/tex]Therefore, the equivalent expression is;
[tex]\frac{5}{7}x+3[/tex]What is the answer? Pls
Answer:
70
Step-by-step explanation:
f(1)=6, f(n)=f(n-1)+4
n = 1 → a1 = 6 ← given value
n = 2 → a2 = 6+4 = 10
n = 3 → a3 = 6+4+4 = 14
n = 4 → a4 = 6+4+4+4 = 18
n = 17 → a4 = 6+(4 * 16) =
(its 4 times 16 because 16 is 17 - 1 or n - 1)
n = 17 → a4 = 6+(64) = 70
socraticorg
Tony B
Identifying Variables and Writing Functions Practice . A function describes how a dependent variable changes with respect to one or more independent variables. When there are only two variables, they are often summarized as an ordered pair with the independent variable first: (independent variable, dependent variable) The dependent variable is a function of the independent variable. If x is the independent variable and y is the dependent variable, write the function as y = f(x) Related Quantities. Write a short statement that expresses a possible relationship between the variables. Example: (age, shoe size) Solution: As a child ages, shoe size increases. Once the child is full-grown, shoe size remains constant. 1. (volume of a gas tank, cost to fill the tank) 2. (time, price of a Ford sedan), where time represents years from 1975 to 2017
Let's begin with what we know:
For an ordered pair, we have (independent variable, dependent variable)
For example, when x is the independent variable & y is the dependent variable, we have (x, y)
y = f(x)
We are to write a short statement that expresses a possible relationship between the variables below:
1. (volume of a gas tank, cost to fill the tank)
Volume of gas is the independent variable & Cost to fill the tank is the independent variable. That means that:
As the volume of the gas tank increases. the cost of filling it increases. Once the volume of the gas tank is filled, the cost to fill the tank is at its maximum
2. (time, price of a Ford sedan), where time represents years from 1975 to 2017
Time is the independent variable & price of a Ford sedan is the independent variable. That means that:
As the time lapses from 1975 to 2017, the price of the Ford sedan depreciates/reduces.
All of the guests at a wedding choose one option for their dinner – the meat option, the fish option, or the vegetarian option. 65% of the guests chose the meat option. 210 guests chose the fish option. 5% of the guests chose the vegetarian option. How many guests chose meat as their dinner option?
Using the percentage of guests choose one option for their dinner , the number of guest chose meat as their dinner option are 455.
As given in the question,
Options given for dinner :
Meat, Fish and Vegetarian
Percent of guest having
Meat in dinner = 65%
Vegetarian = 5%
Number of guest chose fish =210
Percent of guest chose fish = 100 -(65 +5)
= 30%
Let x be the total number of guest
30% of x = 210
⇒ (30/100) × x = 210
⇒ x= (210 ×100) / 30
⇒ x = 700
Therefore, using the percentage of guests choose one option for their dinner ,the number of guest chose meat as their dinner option are 455.
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A car rental company charges an initial fee plus an additional fee for each mile driven. The charge depends on the type of careconomy luxury The charge E dollars) to rent an economy car is given by the function E = 15.95 + 0.60M where M is the number of miles drivenThe charge (dollars) to rent a luxury car is given by the function L = 18.20 + 1.25M be how much more it costs to rent a luxury car than an economy car (in dollars)an equation relating C to Simplify your answer as much as possible
C=34.15+0.65M
ExplanationGiven
[tex]\begin{gathered} E=15.95+0.60M \\ L=18.20+1.25\text{ M} \\ where \\ E\text{ is the cost to rental an Economy car} \\ Lis\text{ the total cost to rental an Luxury car} \\ M\text{ is the number of miles traveled} \end{gathered}[/tex]so
to Know C, how much more it costs to rent a Luxuy can than an economc, we need to do a subtraction, hence
[tex]\begin{gathered} C(M)=L(M)-E(M) \\ \end{gathered}[/tex]so, replace and simplify
[tex]\begin{gathered} C(M)=L(M)-E(M) \\ C=18.20+1.25M-(15.95+0.60M) \\ C=18.20+1.25M-15.95-0.60M \\ C=34.15+0.65M \end{gathered}[/tex]therefore, the answer is
C=34.15+0.65M
I hope this helps you
C=34.15+0.65M
ExplanationGiven
[tex]\begin{gathered} E=15.95+0.60M \\ L=18.20+1.25\text{ M} \\ where \\ E\text{ is the cost to rental an Economy car} \\ Lis\text{ the total cost to rental an Luxury car} \\ M\text{ is the number of miles traveled} \end{gathered}[/tex]so
to Know C, how much more it costs to rent a Luxuy can than an economc, we need to do a subtraction, hence
[tex]\begin{gathered} C(M)=L(M)-E(M) \\ \end{gathered}[/tex]so, replace and simplify
[tex]\begin{gathered} C(M)=L(M)-E(M) \\ C=18.20+1.25M-(15.95+0.60M) \\ C=18.20+1.25M-15.95-0.60M \\ C=34.15+0.65M \end{gathered}[/tex]therefore, the answer is
C=34.15+0.65M
I hope this helps you
karem drives his car 96 miles per hour 1 1/2 hours how many miles will he drive in 2 1/2 hours
Pls help solve all 3 questions
Thank you :)
Answer:
Q18: x = 21, y = 15
Q19: x = 16, y = 10
Q20: x = 24, y = 19
Step-by-step explanation:
Q18:
(3x - 16) + (6x + 7) = 180 (corresponding angles, sum of angles on a straight line=180°)
9x - 9 = 180
9x = 189
x = 21
11y - 32 = 6x + 7 (vertically opposite angles)
11y - 32 = 6(21) + 7
11y - 32 = 133
11y = 165
y = 15
Q19:
8x - 14 = 5x + 34 (corresponding angles, vertically opposite angles)
3x = 48
x = 16
(8x - 14) + (5y + 16) = 180 (sum of angles on a straight line=180°)
8(16)-14 + (5y + 16) = 180
114 + 5y + 16 = 180
5y + 130 = 180
5y = 50
y = 10
Q20:
47 + 3x + (2x + 13) = 180 (corresponding angles, sum of angles on a straight line=180°)
5x + 60 = 180
5x = 120
x = 24
5y - 23 = 3x (corresponding angles)
5y - 23 = 3(24)
5y - 23 = 72
5y = 95
y = 19
The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy. The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.
Which equation could you use to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet?
The equation which can be used to find the area of the place where guests wait for the ride if the area of the canopy is 7600 square feet is:
2a+100=7600.
Given, The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy.
The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.
let the area of the place where guests wait be represented by 'a'.
the canopy covers the area = 2a + 100
total area of the canopy = 7600
equation used to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet = ?
⇒ 2a + 100 = 7600
arrange the like terms.
⇒ 2a = 7600 - 100
calculate the difference.
⇒ 2a = 7500
⇒ a = 7500/2
⇒ a = 3750
Hence the area of the place where guests wait is 3750 square feet.
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What is the area, in square centimeters, of the shaded part of the rectangle shown below
Answer:100 cm
Step-by-step explanation: first, you would find the area of the whole rectangle.
L x W = A
10x14=140
Next, find the area of the unshaded part. To do this, you would subtract 6 from 14
14-6=8
After that, times 8 by 10, then divide by 2
10x8=80
80÷2=40
Take 40 and subtract it from the area of the whole rectangle
140-40=100
find regular and irregular polygons
Answer:
Regular Polygon:
D
Irregular Polygon:
A, B, F
Not a Polygon:
E, C
Step-by-step explanation:
Polygons are shapes with straight lines.
Regular polygons have uniform side lengths and angles.
Which two county libraries charge the same penalty per week
Identify at least two pairs of congruent angles in the figure and explain how you know they are congruet
you didn't attach the figure....
find the volume of a cone with a height of 100 feet and a radius of its base 100 feet use 3.14 for pi
The volume of a cone is given as follows;
[tex]\begin{gathered} \text{Vol}=\frac{1}{3}(\pi\times r^2\times h) \\ \text{The radius of the base r=100, h=100} \\ \text{Vol}=\frac{1}{3}\times3.14\times100^2\times100 \\ \text{Vol}=\frac{3.14\times10000\times100}{3} \\ \text{Vol}=1046666.67 \\ \text{Vol}\approx1046666.67ft^3\text{ (rounded to the nearest hundredth)} \end{gathered}[/tex]The volume of the cone with the given dimensions is
1,046,666.67 cubic feet (rounded to the nearest hundredth)
Without approximation, the answer would be,
1,046,666.6666 cubic feet
where is the center of dilation located in the image pictured below?
Answer:
V
Step-by-step explanation:
Using positive integers between 1 and 9 and each positive integer at most once, fill in values
to get two constraints so that x = 7 is the only integer that will satisfy both constraints at
the same time.
☐ x+☐ < ☐ x + ☐
☐x+ ☐ > ☐ x+ ☐
Using positive integers between 1 and 9 and each positive integer at most once,
2 x+ 9 < 3 x + 1
6x+ 4 > 5 x+ 8
To get two constraints so that x = 7 is the only integer that will satisfy both constraints at the same time. Upon analysing it can be seen that to the coefficients of x in eaxh equation shouch be two consecutive number. The coefficient on the lesser than side should be lower than the coeffiecient present on the greater than side.
To make the equation in such a way that only 7 satisfy it, the lesser than sides are added with numbers higher than 7 that is 8 and 9.
Therefore, Using positive integers between 1 and 9 and each positive integer at most once,
2 x+ 9 < 3 x + 1
6x+ 4 > 5 x+ 8
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An economy size car can travel 32 miles for each gallon of gasoline. The function d(g) = 32g represents the distance traveled in miles, d(g), that the car can travel with g gallons of gasoline. Find d(30).
*Type in your answer.
d(30) = miles
The number of miles to drive for 30 gallons is 960 miles
How to determine the function value?From the question, the function definition is given as
d(g) = 32g
Where g represents the number of gallons and d represents the distance
The function value to calculate is given as
d(30)
This means that we calculate the number of miles to drive for 30 gallons
So, we have
d(30) = 32(30)
This gives
d(30) = 32 x 30
Evaluate the product
d(30) = 960
Hence, the function value is d(30) = 960
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Given the image Q’(33, 36) and preimage Q(11, 12), by what scale factor was the point dilated?
22
3
24
1/3
Answer:
22
Step-by-step explanation:
Multiply and simplify completely ( 3x - 1 ) (3x + 1)
Answer:
9x^2-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply (3x - 1) * (3x + 1)
= 9(x)^2 + 3x - 3x -1
= 9(x)^2 - 1
2x-5y = 16 solve for y
[tex]\frac{2(x-8)}{5}[/tex] = y
To Solve: value of y
Given: 2x-5y=16
Solution: The solution to this problem involves the following steps:
2x-5y-16=0
2x-16=5y
[tex]\frac{2x-16}{5}[/tex] = y
[tex]\frac{2(x-8)}{5}[/tex] = y
Answer: The final answer is : [tex]\frac{2(x-8)}{5}[/tex] = y
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Fighting fires is a profession that is really heating up. The average firefighter works 160 hours a month and make $4,090 for the month. If you only work 32 hours in a week, how much will you make?
Working 32 hours a week will fetch you $818
How to calculate the amount you will make?From the question, the given parameters are:
Number of hours = 160
Earnings in a month = $4090
Start by calculating the unit rate
This is calculated using the following unit rate formula
So, we have
Unit rate = Earnings in a month/Number of hours
Substitute the known values in the above equation
So, we have
Unit rate = 4090/160
Evaluate the quotient
Unit rate = 25.5625
For 32 hours, the total earnings is
Total = Unit rate x Number of houts
So, we have
Total = 25.5625 x 32
Evaluate
Total = 818
Hence, you will earn $818 weekly
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Linear equations
Which ordered pair is a solution of this equation, -2x+9y=-26
A. (4,4)
B. (-4,-4)
C. (-5,-4)
D. (-4,-5)
The ordered pair which is a solution to the given linear equation is (-5, -4)
What are linear equations?Linear equations are equations that has a leading degree of 1. The standard linear equation is given as Ax + By = C.
Given the linear equation below;
-2x+9y=-26
We need to determine the ordered pair that gives a solution to the linear expression.
For the coordinate point (4, 4)
-2(4) + 9y = -26
9y = -26 + 8
9y = -18
y = -18/9 = -2
This shows that (4, 4) is not a solution.
For the coordinate point (-4, -4)
-2(-4) + 9y = -26
9y = -26 - 8
9y = -34
y = -34/9
This shows that (-4, -4) is not a solution.
For the coordinate (-5, -4)
-2(-5) + 9y = -26
9y = -26 - 10
9y = -36
y = -4
This shows that (-5, -4) is a solution of the linear equation.
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A manufacturer has been selling 1250 television sets a week at $450 each. a market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 per week.
The demand function of the number of sets sold will increase by 130 per week is p(x) = (-1 ÷ 13)x + 550.
Determine the coordinates of two points mostly online. Estimate the difference in y-coordinates between these two places. Estimate the difference in x-coordinates between these two places. Divide the y-coordinate difference by the x-coordinate difference.
Let p(x) denote the demand function, with x denoting the number of TV sets desired. As stated in the issue, a $10 decrease in p(x) causes a 130 rise in x. As a result, the slope of the demand function graph is -13 ÷ 130 = -1 ÷ 10.
Given p(1250) = 450,
-1 ÷ 10 = (p(x) - 450) ÷ (x - 1250)
p(x) = (-1 ÷ 13)x + 550
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Use spinner and color key to find the indicated probabilities. Landing on green or a vowelNot landing on yellow or a constant
Solution:
The spinner has a total of 8 sections.
There are two green sections and 4 four vowel sections where one of the vowels is also green.
Then, the probability of landing on green or a vowel is;
[tex]\frac{5}{8}=0.625[/tex]