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Alex777 [14]
2 years ago
10

Help asap with math evaluate expression

Mathematics
1 answer:
madam [21]2 years ago
5 0

Answer:

14

Step-by-step explanation:

you can simplify it by turning a²+b²/a-b

into

(a-b)²+2ab / a-b

eliminate the fraction

a-b +2ab

a=-1

b=-5

-1-(-5)+2*-1*-5

-1+5+10 = 14

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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

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substitute in the quadratic equation

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

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

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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

so

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

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