Answer:
x^2 – 4 = 0
Step-by-step explanation:
When x = - 2,
x^2 - 4 = 0
( - 2 )^2 - 4 = 0
4 - 4 = 0
When x = 2,
x^2 - 4 = 0
2^2 - 4 = 0
4 - 4 = 0
From the information given you have:
1) Smaller diagonal of the kite: 16 inches
2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)
3) Calculation of the height of the smaller triangle, h1:
10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6
4) Calculation of the height of the larger triangle, h2
17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2 - 8^2] = 15
5) Larger diagonal = h1 + h2 = 6 + 15 = 21
Answer: 21 inches
Answer:
a.) (x+2)(x-5)
Step-by-step explanation:
First, you need to locate the x-intercepts. The x-intercepts are (-2,0) and (5,0). Then, you move everything to the same side.

Now that you have all of them on the same side, you just put them into an equation to get:

Answer:
Correct answer: V = 82.5 in³
Step-by-step explanation:
This is a regular five sided prism.
Given:
The base edge a = 4 in
The radius of the inscribed circle or the height of an isosceles triangle
Ri = h = 2.75 in
Prism height H = 3 in
The base consists of five isosceles triangles
The area of one triangle is:
A₁ = a · h / 2
The area of the base is:
B = 5 · A₁ = 5 · a · h / 2
B = 5 · 4 · 2.75 / 2 = 27.5 in²
The volume of the prism is:
V = B · H = 27.5 · 3 = 82.5 in³
V = 82.5 in³
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Thus :
1 / 4 % of 3 is 0.75 .
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