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3 years ago

What is the equation of a line that passes through (-6, 2) and has a slope of `-(1)/(2)` ?

Mathematics

1 answer:

o-na [289]3 years ago

8 0

This answer would be d

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Use properties of addition and subtraction to evaluate the expression <br> -42 - 29 - 28

Setler [38]

(-42) (-29) (-28)
-42 - 29 = -71
-71 - 28 = -99

-99 is your answer

hope this helps

7 0

3 years ago

Find the approximate perimeter of ABC plotted below.

maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}$

$AB = \sqrt{4 + 4}$

$AB = \sqrt{16}$

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}$

$BC = \sqrt{25 + 49}$

$BC = \sqrt{74}$

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

$AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}$

$AC = \sqrt{47 + 25}$

$AC = \sqrt{74}$

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0

3 years ago

What is the initial value in the function 2x + 3y = 6?

maw [93]

<h2>Explanation:</h2><h2></h2>

The initial value of this function is the y-intercept. We know that the slope-intercept form of the equation of a line is given by:

$y=mx+b \\ \\ \\ Where: \\ \\ \\ m:slope \\ \\ b:y-intercept$

Writing our equation in slope intercept form:

$2x + 3y = 6 \\ \\ \\ \text{Subtract 2x from both sides}: \\ \\ 2x -2x+ 3y = 6-2x \\ \\ 3y=6-2x \\ \\ \\ \text{Divide both sides by 3}: \\ \\ y=\frac{6-2x}{3} \\ \\ y=-\frac{2x}{3}+2$

So the initial value is:

$b=3$

5 0

3 years ago

A student spends $48 on school supplies at a store where sales tax is 7%. What is the total cost of the supplies?

Advocard [28]

Answer:

The answer is 51.36 so just add 48 plus 7%

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I need to find the equal expression to -m(2m+2n)+3mn+2m². Help please?

spin [16.1K]

$m(2m+2n)+3mn+2m^2\implies \stackrel{\textit{distributing}}{2m^2+2mn}+3mn+2m^2 \\\\\\ 2m^2+2m^2+2mn+3mn\implies \stackrel{\textit{adding like-terms}}{4m^2+5mn}$

4 0

3 years ago