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MAXImum [283]
2 years ago
15

What is the slope of the line that passes through the points (-10, 9) and (-12, 7)

Mathematics
1 answer:
Iteru [2.4K]2 years ago
6 0

\text{Given that,}~~\\\\(x_1, y_1) = (-10,9)~~\text{and}~~ (x_2,y_2) = (-12,7)\\\\\\\text{Slope,}~~ m = \dfrac{y_2 - y_1}{x_2 -x_1}= \dfrac{7-9}{-12+10} =\dfrac{-2}{-2}  = 1

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What is the length of the unknown leg in the right triangle? A right triangle has a side with length 20 meters, hypotenuse with
galben [10]

The length of the unknown leg of the triangle is 15 m.

<u>Step-by-step explanation:</u>

Length of one leg = 20 m

Length of the hypotenuse= 25m

As it is a right angled triangle we can use pythogoras theorem.

Let the unknown length be y

(20) (20)  + y(y) = (25) (25)

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2 years ago
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Answer:

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4 0
2 years ago
Which equations are equivalent to Y=2/3X-4 when written in slope-intercept form? Check all that apply. A =3X-2Y=4. B=2X-3Y=12. C
klemol [59]

Answer:

B and C

Step-by-step explanation:

Rearrange each equation into slope- intercept form

A

3x - 2y = 4 ( subtract 3x from both sides )

- 2y = - 3x + 4 ( divide all terms by - 2 )

y = \frac{3}{2} x - 2 ← not equivalent

B

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 2 )

y = \frac{2}{3} x - 4 ← equivalent

C

- 4(2x - 3y ) = - 48 ( divide both sides by - 4 )

2x - 3y = 12 ← same as B ⇒ equivalent

D

2(x + 6) = 3y

3y = 2x + 12 ( divide all terms by 3 )

y = \frac{2}{3} x + 4 ← not equivalent

E

2x - 3y = 4 ( subtract 2x from both sides )

- 3y = - 2x + 4 ( divide all terms by - 3 )

y = \frac{2}{3} x - \frac{4}{3} ← not equivalent



4 0
3 years ago
Read 2 more answers
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