Answer:
x = ± sqrt(43)
Step-by-step explanation:
2x^2 - 28 = x^2 + 15
Subtract x^2 from each side
2x^2-x^2 - 28 = x^2-x^2 + 15
x^2 -28 = 15
Add 28 to each side
x^2 - 28 +28= 15+28
x^2 = 43
Take the square root of each side
sqrt(x^2) = ± sqrt(43)
x = ± sqrt(43)
Answer:
7x^2 -28x +28
Step-by-step explanation:
7(x - 2)^2
7 ( x-2)(x-2)
Foil
7 ( x^2 -2x-2x+4)
Combine like terms
7( x^2 -4x+4)
Distribute
7x^2 -28x +28
Answer:
The answer is the 3rd one.
Step-by-step explanation:
3 times 3 is 9
4 times 4 is 16
13 is in between those 2 numbers
Step-by-step explanation:
To determine what the height of the ladder reaches up the wall we need to know the height of ladder which is not provided in the question.
So if I assume the height of ladder to be 10ft( just a general assumption)
Then, inclined ladder, wall and distance been the bottom of the ladder and wall will form a right angle triangle.
where height of ladder will be hypotenuse, height of the ladder reaches up the wall will be perpendicular and distance been the bottom of the ladder and wall will be base.
Since, A ladder is inclined at 23 degrees against the wall
⇒ height of the ladder reaches up the wall = Height of ladder×sin23°
= 10ft × sin23° = 3.9073 ft

a=1, b=-4, c=3
If the vertex has coordinates (2;-1)(p=2,q=-1) we can write vertex form of a parabola equation:


We need to put (x-2) at the place of (x) in f(x) equation to get g(x)
![g(x)=1[(x-2)-2]^2-1](https://tex.z-dn.net/?f=g%28x%29%3D1%5B%28x-2%29-2%5D%5E2-1)


So:
p=4, q=-1
Vertex of the parabola defined by g(x)=f(x-2) has the vertex at
:)