Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below.

Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3).

m = m equals StartFraction x 2 minus x 1 over y 2 minus y 1.

= Equals StartFraction negative 7 minus 2 Over 4 minus negative 3.

= Negative StartFraction 9 Over 7 EndFraction.

The slope is Negative StartFraction 9 Over 7 EndFraction..

What error did she make?

She simplified the denominator incorrectly. The denominator simplifies to –7.
She labeled the points incorrectly. The point (–7, 4) should be (x1, y1).
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

Answer:

(f o g)(4)=27

Step-by-step explanation:

(f o g)(4)=2x+5

f(g(4))=2x+5

f(4²-2(4)+3)=2x+5

f(16-8+3)=2x+5

f(8+3)=2x+5

f(11)=2x+5

f(11)=2(11)+5

f(11)=22+5

f(11)=27

Therefore, (f o g)(4)=27

Answer:

180 cm²

Step-by-step explanation:

Area of Triangle: 1/2bh

You can divide the figure into two parts: top and bottom.

Top:

1/2(4)(12)

1/2 (48)

24

24 • 2 (two triangles) = 48 cm²

Bottom:

1/2(12)(11)

1/2 (132)

66 • 2 (two triangles) = 132 cm²

Add them up: 48 cm² + 132 cm² = 180 cm²

Answer:

42°

Step-by-step explanation:

Bottom of Ray = 180

1=2

180-90=90

90/2=45

Answer:-1>p

Step-by-step explanation:

6>3p+9

-9 -9

-3>3p

Divide by 3 on each side

-1>p

Answer:

p < -1

Step-by-step explanation:

Original equation:

6 > 3p + 9

Subtract 9 from both sides

The equation should look like this now:

-3 > 3p

Divide both sides by 3 (to separate the 3 from the p)

-1 > p

p < -1

Hope this helps :)

Answer:

x = 22

Step-by-step explanation:

All the sides are equal. So, it is and equilateral triangle and so all the angles will be equal.

Each angle of equilateral angle = 180/3 = 60

3x - 6 = 60    {Add 6 to both sides}

    3x  = 60 +6

    3x = 66          {Divide both sides by 3}

      x = 66/3

     x = 22

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

[tex]\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}[/tex]

Function B:

[tex]y = -4.5x + 15[/tex]

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1.5,5)[/tex]

[tex](x_2,y_2) = (2.5,0)[/tex]

So, we have:

[tex]m = \frac{0-5}{2.5 - 1.5}[/tex]

[tex]m = \frac{-5}{1}[/tex]

[tex]m = -5[/tex]

For function B

The general function is:

[tex]y = mx + b[/tex]

Where

m is the rate of change

By comparing [tex]y = mx + b[/tex] to [tex]y = -4.5x + 15[/tex]

[tex]m = -4.5[/tex]

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

Answer:

3.375 in³

Step-by-step explanation:

1) V = l x w x h

2) Since a cube has all equal sides, then our equation would be V = 1.5³

3) V = 1.5³ = 3.375 in³

Answer:

3.375 in^3.

Step-by-step explanation:

All sides have the same length so the volume = 1.5^3

= 3.375 in^3.

Answer:

B

Step-by-step explanation:

Angles 5 & 6 are supplementary

Answer:

20 miles

Step-by-step explanation:

We are given that

Person traveled total distance by bike=2 1/2 miles

Person traveled total distance by bike==[tex]2+\frac{1}{2}=2.5miles[/tex]

Time taken by person ,t=1/8 hour

We have to find the distance traveled by person bike in an hour.

We know that

Rate==[tex]\frac{Distance}{time}[/tex]

Using the formula

Rate=[tex]\frac{2.5}{\frac{1}{8}}[/tex]miles/hr

Rate=20mph

In 1 hour person bike traveled distance=20 miles

Answer:

Yes

Step-by-step explanation:

The equation to find it is Squareroot(a^2 +b^2)

Squareroot(6.4^2 + 12^2) = 13.6

so it is not

Answer:

The maximum number of rectangles that Mirela can cut is 5

Step-by-step explanation:

First, you must ensure that all the measurements are the same units.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

where a, b and c are known values ​​and x the value to calculate. So:

[tex]x=\frac{c* b}{a}[/tex]

The direct rule of three is the rule applied in this case where there is a change of units.

To perform this conversion of units, you must first know that 1 m² = 10,000 cm². So, if 10,000 cm² is 1 m², how many cm² equals 0.35 m²?

[tex]cm^{2} =\frac{0.35 m^{2} *10000 cm^{2} }{1 m^{2} }[/tex]

cm²= 3500

Now, to calculate the maximum number of rectangles that Mirela can cut you divide the total area of ​​the paper by the area of ​​each rectangle:

3500 cm² ÷ 700 cm²= 5

The maximum number of rectangles that Mirela can cut is 5

Answer:

52,000 to the nearest thousand

Answer:

52,000

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

This is a 30-60-90 triangle. The side that include the 60 degree angle and the 90 degree symbol side length is half of the hypotenuse. The hypotenuse is 14 so IR is 7.

Answer: A

Step-by-step explanation:

Answer:

%5

Step-by-step explanation:

i took math lol

PS. plzz tell me if u got it right!!!

Answer:

he grew 1/5  = 20%

he was 4/5 = 80%

know he is 5/5 = 100%

Step-by-step explanation:

Answer:A=33

2a2

Step-by-step explanation:look i dont know the whole answer but i hope this helps for a regular hexagon

Answer:

i can't see it

Step-by-step explanation:

The inequality of the statememt is x < 78000

From the question, we have the following parameters that can be used in our computation:

An employee makes less than $78,000 a year in income.

Represent the earnings of the employee with x

So, we have

x is less than $78,000

When represented as an inequality, we have

x < 78000

See attachment for the graph

Read more about inequality at

https://brainly.com/question/25275758

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Answer:

choice 1) 7

Step-by-step explanation:

6 + (9-1)^2 / 4 x (1/2)^4

6 + 64/4(1/16)

6+16/16

6+1 = 7

Answer:

73/100 is the fraction

0.73 is the decimal

Step-by-step explanation:

Answer:

11 weekends.

Step-by-step explanation:

470.80 = 58.30 + 37.50x

-58.30    -58.30

412.50 = 37.50x

divide both sides by 37.50, and x = 11

Answer:

24.53

Step-by-step explanation:

9% of 22.50 = 2.03

22.50 + 2.03 = 24.53

Answer:

24.53

Step-by-step explanation:

Answer:

Your answer would be -144

The value of the function g(x) = 8x² + 4x at g(-4) is 112.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, a function g(x) = 8x² + 4x.

Now to obtain the value of g(-4) we'll simply substitute - 4 in place of x.

which is g(-4) = 8(-4)² + 4(-4).

g(-4) = 8×16 - 16.

g(-4) = 128 - 16.

g(-4) = 112.

learn more about functions here :

https://brainly.com/question/12431044

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Answer:

120 seats

Step-by-step explanation:

Total seats in the hall = 300

Percentage of filled seats = 60 %

Number of seats filled = (60 / 100) 300

                                     = 60 * 3

                                     = 180

Therefore, number of empty seats = 300 - 180

                                                          = 120

Hope it helps :)

Please mark my answer as the brainliest

Answer:

4 cases of oil

Step-by-step explanation:

Answer:

qwerty ur mother

Step-by-step explanation:

Answer:

expansion

Step-by-step explanation: