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Elis [28]
3 years ago
9

Issac tosses a quarter off of a bridge, creating the shape of a parabola. The parabola can be represented by the equation h=-16t

^2-4t+20
c. How high is the coin after .25 seconds?

d. After how many seconds does it land on the ground?
Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

c) 18 units

d) 1 second

Step-by-step explanation:

h = -16t² - 4t + 20

c) t = 0.25

h = -16(0.25)² - 4(0.25) + 20

h = 18

d) -16t² - 4t + 20 = 0

4t² + t - 5 = 0

4t² + 5t - 4t - 5 = 0

t(4t + 5) - (4t + 5) = 9

(4t + 5)(t - 1) = 0

t = -1.25, 1

t = 1 second

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=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

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

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3 years ago
12= 3x X 6 what is the valu of the x ?
kifflom [539]

Answer:

x = 2/3

Step-by-step explanation:

4 0
3 years ago
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Miles is planning to spend 2/3 as many hours bicycling this week as he did last week. Is Miles going to spend more hours or fewe
Taya2010 [7]

Answer:

Fewer hours

Step-by-step explanation:

2/3 is a fraction and shows the parts of a whole. This means that 2/3 of last week is fewer than last week. Last week is the whole for example 15 hours. This week will be 2/3 or 2/3*15 = 10 hours. This week will be less than last week.

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Answer:

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Step-by-step explanation:

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Therefore,

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x+76=180

x=180-76

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Answer:

c. 45.34ft

Step-by-step explanation:

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