Answer:
6.5
Step-by-step explanation:
plz mark brainlyest
Answer:
<h3>
f(x) = - 4x² - 20x + 56 </h3>
Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
<u> f(x) = -4(x - 2)(x + 7) </u>
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
<u> f(x) = -4x² - 20x + 56 </u>
15.
We have right triangles, with the ladder the hypotenuse of both and the wall the opposite side of both.
Call the ladder length <em>h.</em>
Against the wall we have the opposite of alpha the taller one:

On the ground adjacent to beta is the longer one

Dividing

16.
Again I'm too lazy to draw the figure but you should.
Let's call <em>y </em>the height of the tower and <em>x</em> the distance from the observation point on the ground to the base of the tower.


Since 


Dividing,






Answer: Height 60 meters, distance 20√3 meters
Answer:
It is rational because 121 is a perfect square.