Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6​

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)

m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C

The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.

Given,

Points of line is (3, 2) and (-3, 4)

Let

x₁ = 3, y₁ = 2

x₂ = -3, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

m = (4 - 2)/(-3 - 3)

m = 2/(-6)

m = -1/3

Hence, the slope of the line is -1/3

Learn more about Slope of Line here :

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Answer:

The correct calculation is 180 - 56

Step-by-step explanation:

From the question, we have DCG and DCF

looking at the diagram, we can see that both lie on a straight line and are a linear pair

So the addition of both will give 180

But DCG is 56

So;

DCF + 56 = 180

So;

DCF = 180 - 56

Answer:

48

Step-by-step explanation:

8

Answer:

g(x)=(x-7)/3

Step-by-step explanation:

Answer:

The answer would be  [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

You can just put it in your calculator

Answer:

22

Step-by-step explanation:

Answer:

Joshua walked 48 feet in total.

Step-by-step explanation:

To find the total distance we need to sum every distance that he walked. We have:

- First: Joshua walked down the hall to the door = 14 feet

- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet

- Third: He came straight back across the yard and stopped to pet his dog = 10 feet

Hence, the total distance is:

[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]

Therefore, Joshua walked 48 feet in total.

I hope it helps you!

Answer:

x = 15 * 2 + 3

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

A=53

B=53

C=74

D=122

okay so i worked from D up so you would do 180-58 to get 122

then for C you would do 4858 to get 106 then do 180-106 to get 74

then for A and B you would do 106 divided by 2 bc they ae the same size

Answer:

1. 16=v    top left

2. n=5.8   bottom left

3. n= -31.9   top right

4. b= 6 .   bottom right

If I am wrong I am sorry

Answer:

5/7

Step-by-step explanation:

You can convert them to fractions to answer:

7/5=1.4

5/7=0.714

7/5 is 0.4 away from 1, while 5/7 is 0.3 away.

Answer:

5/7 is closer

Step-by-step explanation:

7/5= 49/35=1 14/35

5/7= 25/35

7/5 is 14/35 away from one whereas 5/7 is 10/35 away.

Answer: Choice C) Undefined slope is when there is no vertical change

If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.

This is because the slope formula

m = (y2-y1)/(x2-x1)

has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

Answer:

The measure of ∠R = 60°

Step-by-step explanation:

The given parameters are;

Triangle XYZ is reflected across the y-axis to create triangle PQR

The measure of ∠Y = 30°

Triangle XYZ = A right triangle

The measure of ∠X = 90°

Where we have;

The image of the preimage of vertex X = P

The image of the preimage of vertex Y = Q

The image of the preimage of vertex Z = R

Therefore, given that a reflection is a rigid transformation, we have;

The measure of ∠X = The measure of ∠P

The measure of ∠Y = The measure of ∠Q

The measure of ∠Z = The measure of ∠R

Given that the measure of ∠Y = 30° and the measure of ∠X = 90°

∠X +∠Y + ∠Z = 180° (angle summation of a triangle property

∴ The measure of ∠Z = 180° - (∠X + ∠Y)  = 180° - (90° + 30°) = 60°

Therefore;

The measure of ∠Z = 60° = The measure of ∠R

The measure of ∠R = 60°.

Answer: help plz

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Here, we replace x and y with the values given that x = 6 and y = 2:

=[tex]\frac{3(6)+4}{(2)}[/tex]

= [tex]\frac{18+4}{2}[/tex]

=[tex]\frac{22}{2}[/tex]

=11

Answer:

3 to the 3rd power

Step-by-step explanation:

Answer: $0.14 per fluid ounce.

Step-by-step explanation: $4.48 divided by 32 = $0.14

Answer:

It is A trust.

Step-by-step explanation:

9/10 is the lowest because it is the only number that isn't whole then 1 1/2 cause it is one and a half with is equivalent 1.5 then 1.6 15/8 because it is 1 7/8

then 190% because it is the largest number

Answer:

tfgvb

Step-by-step explanation:

tfgcv

Answer:

swing state

noun

a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(-3) - 2 = -9 - 2 = -11

3(1) - 2 = 3 - 2 = 1

3(5) - 1 = 15 - 1 = 14

Answer: A.) B.) D.)

Step-by-step explanation:

It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.

Answer:

.

Step-by-step explanation:

Answer:

m<32

Step-by-step explanation:

You add 4 to both sides to isolate the variable which in this case is m this gives you 32>m, then you can just flip the equation.

Answer: m < 32

Step-by-step explanation:

28 > m - 4

Add 4 to both sides:

32 > m

Flip the inequality so m is in front:

m < 32

Hope this helps!

Answer:

(d/f)-1=x

Step-by-step explanation:

d=f+fx

d-f=fx

(d-f)/f=x

(d/f)-1=x

Answer:

x=2

Step-by-step explanation:

-14x+28+6x=-44

-8x+28=-44

-8x= -16

x=2

combine like terms

-8x+28 = -44

subtract 28 from both sides

-8x = -72

divide both sides by -8

x = 9