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2 years ago

8

The quadratic function h(t) = -16t^2 + 120 represents the height of 120 feet. what is the height of the object after 1.5 seconds

?

1 answer:

Anettt [7]2 years ago

5 0

Answer:

84 feet

Step-by-step explanation:

-16(1.5)^2+120=84

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2 years ago

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avanturin [10]

C both of these is correct

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2 years ago

2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27

Juli2301 [7.4K]

$i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}$

$ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\
\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}$

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2 years ago

What is the number whose 4/5 is 144

Savatey [412]

We want 4/5 of a number to be 144. This means that

$\dfrac{4}{5} \cdot x = 144$

Multiplying both sides by 5/4, we have

$x = \dfrac{144\cdot 5}{4} = 180$

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3 years ago

Consider line A whose equation is y = -10x + 8. If line B is perpendicular to line A and has a y-intercept at y = 3, what is the

r-ruslan [8.4K]

Answer:

C) . y=(1/10)x+3

Step-by-step explanation:

Given the equation of the line is y=-10x+8

It is in the form of y=mx+c where m is the slope of the line. Now on comparision we get m1=-10.

We knoew that two lines are perpendicular iff the product of their slopes is equal to -1.

$m1*m2=-1$

the slope of the recquired line = $\frac{-1}{-10}$ = $\frac{1}{10}$

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept

Given the y intercept of the recquired line (b)=3

The recquired line is

y=mx+b

y=(1/10)x+3

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3 years ago