Answer:
vertex = (0, -4)
equation of the parabola: 
Step-by-step explanation:
Given:
- y-intercept of parabola: -4
- parabola passes through points: (-2, 8) and (1, -1)
Vertex form of a parabola: 
(where (h, k) is the vertex and
is some constant)
Substitute point (0, -4) into the equation:

Substitute point (-2, 8) and
into the equation:

Substitute point (1, -1) and
into the equation:

Equate to find h:

Substitute found value of h into one of the equations to find a:

Substitute found values of h and a to find k:

Therefore, the equation of the parabola in vertex form is:

So the vertex of the parabola is (0, -4)
I am assuming you do not mean The length of a triangle and you mean The length of a rectangle because the answer you given are the formula for the perimeter of a rectangle. With that said, the answer is D<span>.2w+2*(3w)112
The perimeter of a rectangle can be found by the following equation:
2L + 2W = P
OR
P = 2L + 2W
The equation </span>P = 2L + 2W is read perimeter = 2 times Length + 2 times width
The Question:
<span>The length of a rectangle is three times its width.if the perimeter is at its most 112 centimeters ,which is the greatest possible value of the the width.
</span>
The length of a rectangle
This means the perimeter
is
The word is means to use an equal sign
three times its width
This means 3 times w or 3w
The w = width
perimeter is at its most 112
This means <=
<= means less than or equal to
Ok so lets look at our equation
2L + 2W = P
2w + 2(3w) <= 112
The first equation has a solution of X=-5
Answer:
Step-by-step explanation:
The formula for the area of a triangle is Area=.5(b)(h)
So fill in what you know:
120=.5b*15
Then solve for b.
120=7.5b
b=16