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professor190 [17]
3 years ago
5

Write the slope-intercept form of 3x-2y=-16

Mathematics
2 answers:
Arada [10]3 years ago
8 0
First bring 3x to the other side, which will give you -2y= -16-3y. Then divide everything by -2, which will give you y=8+3/2x
iren [92.7K]3 years ago
7 0
<span>slope-intercept form is y=mx+b. which means you need to move the terms around to get that format.

</span>3x-2y=-16              <span>
-2y = -16 - 3x         </span>Subtract 3x from both sides<span>
y = 8 + 3/2 x           Divide both sides by -2
y = </span>3/2 x + 8          Rearrange to get y=mx+b format.

m = slope = 3/2
b = y-intercept = 8
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Answer:

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Option D is correct.

Step-by-step explanation:

Given: A rocket is launched with speed 85 ft/s from a height 28  feet.

Launching a rocket follows the path of parabola. The equation of rocket should be parabolic.

Parabolic equation of rocket is

Formula: h(t)=\dfrac{1}2gt^2+v_0t+h_0

g ⇒ acceleration due to gravity (-32 ft/s)

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D is correct.

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3 years ago
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Step-by-step explanation:

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Checking the location of the dilated vertices of the image triangle ΔD'E'F'

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Notice that if we multiply the vertices of the original triangle ΔDEF by 5/2, we get the correct image vertices of image triangleΔD'E'F'

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E(2, 4) → E'(5/2 (2), 5/2(4))  → D'(5, 10)

F(0, 2) → E'(5/2 (0), 5/2(2))  → F'(0, 5)

Thus, we conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

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