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sweet-ann [11.9K]
2 years ago
13

Write an equation in slope-intercept form for the line with y -intercept 3 and slope 2/5.

Mathematics
1 answer:
IceJOKER [234]2 years ago
8 0
Answer: y = 2/5x + 3
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Solve for c: <br> 12 - 9 + c = 12
enyata [817]

Step-by-step explanation:

12 - 9 + c = 12

-9 + c = 12 - 12

- 9 + c = 0

Therefore c = 9

Hope this helps.!

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3 years ago
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It is Rong the answer is 2
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Triangle FGH is dilated agout the origin make triangle F'G'H' as shown here. Which rule represents the dilation applied to trian
elena-s [515]

Answer:

Answer is J

Step-by-step explanation:

Count the height of each traingle and divide both of them, it's also going to be greater than 1X since the dialted image is larger than the original

7 0
3 years ago
If two lines are perpendicular, which statement must be true? A.The slopes of the two lines are equal. B.The slopes of the two l
dangina [55]

Answer:

Option D is correct that is The Slopes of two lines are negative reciprocals.

Step-by-step explanation:

Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.

we that the Slope of perpendicular lines are equal to -1

Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.

5 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation y=-16x^2+224x+121. We are asked to find the time, when the rocket will hit the ground.

We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute y=0 in our given equation as:

0=-16x^2+224x+121

Let us solve for x using quadratic formula.

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-224\pm\sqrt{224^2-4(-16)(121)}}{2(-16)}

x=\frac{-224\pm\sqrt{50176+7744}}{-32}

x=\frac{-224\pm\sqrt{57920}}{-32}

x=\frac{-224\pm240.66574}{-32}

x=\frac{-224+240.66574}{-32}, x=\frac{-224-240.66574}{-32}

x=\frac{16.66574}{-32}, x=\frac{-464.66574}{-32}

x=-0.520804375, x=14.520804375

Upon rounding to nearest 100th of second, we will get:

x\approx -0.52, x\approx 14.52

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.

6 0
4 years ago
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