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3 years ago

Use the substitution method to solve the system of equations. Choose the correct pair.

Mathematics

1 answer:

dexar [7]3 years ago

8 0

C
-x=-y-10 = x=y+10

x is 10 bigger than y
x+y=12

C

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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

3 years ago

Read 2 more answers

There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. The ratio of the num

-Dominant- [34]

Hi there! Since the ratios of students at Hanover High School are in different scales, we need to scale them up! First, let's take the ratio 1:2. This can be scaled up to 5:10. Now, combine the two ratios to find the ratio of freshmen to sophomores. 3:10 + 5:10 = 8:10. The remaining number is 2, since 8 + 2 = 10, so the ratio of freshmen to sophomores is 2:10!

Hope this was helpful!

7 0

3 years ago

Please help answer!!!! <br> will try and give brainliest if i can.<br> need all four answers!

Ivahew [28]

Answer:

a is option c

b is 17.5

c is 9

Step-by-step explanation:

I do not know if all of these are right

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3 years ago

Convert the equation below to slope intercept form 2x+y=3 <br> pls help ASAP

Radda [10]

9514 1404 393

Answer:

(b) y = -2x +3

Step-by-step explanation:

Subtract the 2x term to get y by itself on the left.

2x -2x +y = 3 -2x

y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b

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3 years ago

Which pair of angles are complementary but not adjacent?

castortr0y [4]

Answer:

1 and 3

Step-by-step explanation:

because 5 and 3 have the same value and since 5 and 1 add up to 90 degrees, 3 and 1 must also add up to 90 degree

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