What is the slope of the line that is represented by the values in the table above?

The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinates of the points A, B, C, and D in the given figure are:

Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.

Thus, we get:

Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]

Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]

If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.

Thus, as we know know that:

Thus, the area of the triangle ABC is:

[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]

Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

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Answer:

The answer is B, I know this because I just took a test with this question lol

If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.

Therefore,

Let X denote the number of correctly answered questions out of a total of 20.

Bernoulli trails are formed by repeated coin tosses. Because the "head" on a coin represents the correct answer and the "tail" represents the incorrect answer, the questions that are correctly answered are Bernoulli trials.

[tex]$&\therefore \mathrm{p}=\frac{1}{2} \\[/tex]

[tex]&\therefore \mathrm{q}=1-\mathrm{p}=1-\frac{1}{2}=\frac{1}{2}[/tex]

X follows a binomial distribution with n = 20 and p = 1/2

[tex]&\therefore P(X=x)={ }^n C_x q^{n-x} p^x \\[/tex]

[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20-x} \cdot\left(\frac{1}{2}\right)^x \\[/tex]

[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20}[/tex]

P ( at least 12 questions answered correctly )= P (X ≥ 12)

[tex]&=\mathrm{P}(\mathrm{X}=12)+\mathrm{P}[/tex][tex](\mathrm{X}=13)+\ldots+\mathrm{P}(\mathrm{X}=20) \\[/tex]

[tex]&={ }^{20} \mathrm{C}_{12}\left(\frac{1}{2}\right)^{20}+{ }^{20}[/tex][tex]\mathrm{C}_{13}\left(\frac{1}{2}\right)^{20}+\ldots+{ }^{20}[/tex][tex]\mathrm{C}_{20}\left(\frac{1}{2}\right)^{20} \\[/tex]

[tex]&=\left(\frac{1}{2}\right)^{20} \cdot\left[{ }^{20} \mathrm{C}_{12}+{ }^{20} \mathrm{C}_{13}+\ldots+{ }^{20} \mathrm{C}_{20}\right][/tex]

Hence, If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.

The complete question is:

In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true', if it falls tails, he answers 'false'. Find the probability that he answers at least 12 questions correctly.

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Answer:

all really all you have to do is do 8 divided by 19 and then whatever that number that you get from that attractive from your highest number that you have in your question which is 11000

Answer: 2,9

(3,3) & (-2,6) midpoints

Answer:

(0.5,4.5)

Step-by-step explanation:

Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))

((3-2/2),(3+6/2))

((1/2),(9/2))

(0.5,4.5)

Step-by-step explanation:

[tex] \frac{6 + ( -2)}{2} = 2[/tex]

this is for x

[tex] \frac{ - 2 + 8}{2} = 3[/tex]

this is for y

so it will become (2,3)

Answer:

b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Answer:

What are you asking for?

Step-by-step explanation:

I'll answer again i just need to know more srry lo

Answer:

girls 4/9 or (Decimal: 0.444444) percent is 44.4%

boys 5/9 or (Decimal: 0.555556) percent is 55.5%

Answer:

Tom wants to go to disneyland this weekend with 23 adults including himself and 4 children Ashley 3, Leslie 1, Brit 4, Victor 2. Children under the age of 6 pay "x" amount while anyone older pay "y" amount. What equation can tom use to find out how much the tickets in total will be.

Step-by-step explanation:

Y = Adults pay y amount - There are 23 adults

X =kids under 6 pay x amount - there are 4 children

4x+23y

4 (kids under 6 ticket cost)+ 23 (Adults ticket cost)

First, rewrite

[tex]x^y=e^{\ln x^y}=e^{y\ln x}[/tex]

[tex]5^{x-y}=e^{\ln5^{x-y}} = e^{\ln(5)(x-y)}[/tex]

Now, differentiate both sides using the chain rule:

[tex]\dfrac{\mathrm d\left(e^{y\ln x}\right)}{\mathrm dx}=\dfrac{\mathrm d\left(e^{\ln(5)(x-y)}\right)}{\mathrm dx}[/tex]

[tex]e^{y\ln x}\dfrac{\mathrm d(y\ln x)}{\mathrm dx}=e^{\ln(5)(x-y)}\dfrac{\mathrm d(\ln(5)(x-y))}{\mathrm dx}[/tex]

[tex]x^y\left(\dfrac{\mathrm dy}{\mathrm dx}\ln x+y\dfrac{\mathrm d(\ln x)}{\mathrm dx}\right)=\ln(5)5^{x-y}\left(\dfrac{\mathrm d(x)}{\mathrm dx}-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]

[tex]x^y\left(\ln x\dfrac{\mathrm dy}{\mathrm dx}+\dfrac yx\right)=\ln(5)5^{x-y}\left(1-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]

[tex]\left(x^y\ln x+\ln(5)5^{x-y}\right)\dfrac{\mathrm dy}{\mathrm dx}=\ln(5)5^{x-y}-yx^{y-1}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\ln(5)5^{x-y}-yx^{y-1}}{x^y\ln x+\ln(5)5^{x-y}}[/tex]

Answer:

dud

Step-by-step explanation:

fjfn

kgoipyx

vbjjkkkkkkjjjjhcblxkcjl

Answer:solution

Step-by-step explanation:

An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.

A linear function is a function that has a positive relationship between its variables.

Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.

Mathematically, the graph of a linear function is a straight-line and its slope is always constant.

On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.

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it is 100 times greater because it is two places higher than 57,080

Answer: subtraction property of equality

Step-by-step explanation:

Answer:it said i was wrong and the correct answer should have been -6 3/10

Step-by-step explanation:

The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

"The rate of change function is the rate at which one quantity is changing with respect to another quantity."

Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.

We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.

i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.

Total change in weight of the sculpture after t hours

= change in the weight of the sculpture per hour × t

= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]

= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]

= [tex]-\frac{63}{10}[/tex]

= [tex]\bold{-6\frac{3}{10}}[/tex] pounds

Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

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Answer:

.2 inches a min.

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

6 divided by 120 = 0.05

Hope this helps☺️

Answer:

C and E

Step-by-step explanation:

the b value of an exponential function needs to be greater than one to be exponential growth

[tex] \sqrt{2} [/tex]

and 1.1 are the only 2 that are greater than one

The possible values for b are those that are greater than 1. The correct answers are square root of  and 1.1, the correct options are C and E.

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, then there is exponential growth happening by r fraction or 100r %

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

We are given that;

f(x)=ab^x

Now,

An exponential growth function is a function that increases as x increases. For the function f(x) = ab^x, this means that the base b must be greater than 1, so that the exponent x makes the function larger.

Therefore, by the exponential growth and decay the answer will be square root of 2 and 1.1

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Answer:

m<WYZ = 23°

m<ACB = 87°

Step-by-step explanation:

Problem 1: Find WYZ

Given,

m<WVX = (3x - 7)°

m<VYZ = (16x - 3)°

∆WYZ ~ ∆WVX, therefore:

m<WYZ = m<WVX (corresponding angles of similar triangles are congruent)

m<WYZ = (3x - 7)° (substitution)

Create an equation to find the value of x.

m<WYZ + m<VYZ = 180° (linear pair)

(3x -7)° + (16x - 3)° = 180° (substitution)

Solve for x

3x - 7 + 16x - 3 = 180

Add like terms

19x - 10 = 180

Add 10 to both sides

19x - 10 + 10 = 180 + 10

19x = 190

Divide both sides by 19

19x/19 = 190/19

x = 10

m<WYZ = (3x - 7)

Substitute x = 10

m<WYZ = 3(10) - 7 = 30 - 7

m<WYZ = 23°

Problem 2: Find m<ACB

Given,

m<A = 62°

m<AED = (11x - 2)°

m<B = (6x + 13)°

∆ADE ~ ∆ACB, therefore:

m<AED = m<B (corresponding angles of similar ∆s are congruent)

(11x - 2)° = (6x + 13)°

Solve for x

11x - 2 = 6x + 13

Collect like terms

11x - 6x = 2 + 13

5x = 15

Divide both sides by 5

5x/5 = 15/5

x = 3

m<ACB + m<B + m<A = 180° (sum of ∆)

m<ACB + (6x + 13) + 62° = 180° (substitution)

Plug in the value of x and solve

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (18 + 13) + 62° = 180°

m<ACB + 31° + 62° = 180°

m<ACB + 93° = 180°

Subtract 93 from both sides

m<ACB = 180° - 93°

m<ACB = 87°

Answer:

x=-1

Step-by-step explanation:

The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).

3x+6=4x+7

-3x    -3x

6=x+7

All we need to do now is subtract 7 on both sides.

6=x+7

-7    -7

-1=x  or  x=-1  (they both mean the same thing!)

Hope this helps!! Have a wonderful day c:

Answer:

lol how are you gonna lie? the person asking will see the dirty dishes.

Step-by-step explanation:

Answer:

Sorry i didnt really hear what you said i was kind of in a rush.

we ran out of soap

I had a really important assignment that i need to do right away

I had a headache

I threw up

Step-by-step explanation:

Answer:

y = -[tex]3^{2}[/tex] + 7x - 2

Step-by-step explanation:

-9-2= -11

y = -11 +7x

+11

y+11 = 7x

/7

1.57142857143= x

Answer: The answer is 11/12 problems

Step-by-step explanation:

You add 2/12 + 9/12 which gives you a result of 11/12

Answer:

5 miles

Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5

Answer:

120 seconds

Step-by-step explanation:

60         20

120        40

180       60

            80

            100

            120

Answer:

If 10 men dig a ditch in 12 days .

Total man-days required to dig the ditch

= 10 men × 12 days

= 120 man-days

how long would 15 men take to dig it?

No of days required to finish the job by 15 men

= 120 men-days / 15 men

= 8 days

Answer: 8 days will be required to finish the job by 15 men

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

Answer:

8.2/10

Step-by-step explanation:

Answer:

42/50

Step-by-step explanation: