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3 years ago

What is the equation of the line that is perpendicular to y =

Mathematics

1 answer:

Olin [163]3 years ago

4 0

Answer:

8989

Step-by-step explanation:

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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati

Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

$h=-16t^2+55t+4$

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

$40=-16t^2+55t+4$

$-16t^2+55t+4-40=0$

$-16t^2+55t-36=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$-16t^2+55t-36=0$

$a=-16\\b=55\\c=-36$

substitute in the formula

$x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}$

$x=\frac{-55\pm\sqrt{721}} {-32}$

$x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec$

$x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec$

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0

3 years ago

I HAVE 8 MORE MINUTES

KonstantinChe [14]

Answer:

Step-by-step explanation:

Estimate it kid. Look at the existing dots.

6 0

3 years ago

Read 2 more answers

F(x)=-x^2-4x-6<br> Axis of symmetry and vertex

NikAS [45]

The vertex of the equation is ( -2 , -2 )

The axis of symmetry is x= - 2

5 0

3 years ago

Vince makes 75% of his free throw attempts. He wants to create a tool that will simulate his free throw shooting and allow him t

Valentin [98]

Answer:

i pooped and then u poop right now

7 0

2 years ago

Solve for x. −12x+13>35 Drag and drop a number or symbol into each box to correctly complete the solution.

Katen [24]

Answer:

x < -11/6.

Step-by-step explanation:

−12x + 13 > 35

-12x > 35 - 13

-12x > 22

Divide both sides by -12 and invert the inequality sign:

x < -22/12

x < -11/6.

7 0

2 years ago