Remark
x - 1 is a root.
Proof
x - 1 = 0
x = 1
(1)^3 + 5(1)^2 - 8(1)^2 - 40(1) + 7(1) + 35
1 + 5 - 8 - 40 + 7 + 35
6 + 7 + 35 - 48 = 0
Solution
Divide x - 1 into the original equation.
x^3 + 5x^2 - 8x^2 - 33x + 35
x - 1 || x^3 - 3x^2 - 33x + 35 || x^2 - 2x - 35
<u>x^3 - x^2</u>
-2x^2 - 33x
<u>-2x^2 + 2x</u>
- 35x + 35
<u>-35x + 35</u>
0
x^2 - 2x - 35 factors into (x - 7)(x + 5)
Complete factorization
(x - 1)(x - 7)(x + 5)
Given:
The base of the triangle = 8.6 yd
The height of the triangle = 10.9 yd
To find the area of the triangle.
Formula
The area of a triangle with b as base and h as height is
Now,
Taking, b= 8.6 and h = 10.9 we get,
sq yd
or, sq yd
Hence,
The area of the given triangle is 46.87 sq yd.
Answer:
The Answer is: 64 oz.
Step-by-step explanation:
Convert 2 hours to minutes and then by 15 minutes:
(2 * 60) / 15 =
120 / 15 = 8
Multiply 8 time 8 = 64 oz.
go to this website for help
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All square sides are equal so 20 x 20 is 400 and to get the area of a circle is pi x radius squared so the answer is C