(1)
(3)
(4)
I think im sorry if im wrong too
Answer:
x = 30
Step-by-step explanation:
65 + 55 = 120
angle B must equal 60
angle B is labeled as 2x
set up equation to solve for 'x': 2x = 60
x = 30
add up all angles to make sure you get 180 degrees
I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
---------------------
So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
Answer:
The length of the ramp must be at least 14.71 feet
Step-by-step explanation:
Given


<em>See attachment for complete figure</em>
Required
Length of the ramp (z)
To do this, we consider sin of angle A (
).
So, we have:

This gives:

Make z the subject



<em>The length of the ramp must be at least 14.71 feet</em>