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3 years ago

PLZZ HELP ASAP!!!!!!!!!!!

Mathematics

2 answers:

deff fn [24]3 years ago

8 0

Answer:

x=-2 or x= -8.

Step-by-step explanation:

We have the equation

$x^2+10x+16=0$

To factor the polynomial we search two numbers that multiplied are 16 and added are 10. In this case, 8 and 2:

(x+2)(x+8)=0.

As we have a product equal to 0, one of the factors needs to be 0. Then,

x+2 = 0 or x+8 = 0

x = -2 or x = -8.

SIZIF [17.4K]3 years ago

3 0

-2, -8 give me 5 stars and thanks me

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1. The function $h(t)=-16t^{2}+48t$ is a parabola of the form $ax^{2}+bx$ . The the formula for the axis of symmetry of a parabola is $x= \frac{-b}{2a}$ . We can infer from our function that $a=-16$ and $b=48$ , so lets replace those values in our formula:
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$x= \frac{-48}{-32}$
$x= \frac{3}{2}$
$x=1.5$
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
$0=-16t^{2}+48t$
$-16t(t-3)=0$
$t=0$ or $t-3=0$
$t=0$ or $t=3$
From our previous point we know that the ball reaches its maximum time at $t=1.5$ , which means that it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.