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lora16 [44]
3 years ago
6

Helpp me pleaseee I need it?

Mathematics
1 answer:
Nataly [62]3 years ago
8 0

Answer:

112 ft.

Step-by-step explanation:

This shape is a trapezoid. To find the area of a trapezoid, use the formula: \frac{b_{1} + b_{2} }{2} h. First find base one. The shape in the middle is a square, so the top side of the trapezoid will be worth 8 ft as well. Now add the two bases 8 + 20 to get 28 and then divide by 2 to get 14. Now multiply 14 by the height (8). 14 x 8 is 112 ft.

Hope it helps and is correct!

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If x+a is a factor of 2x²+2ax+5x+10,find a.
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If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

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And we're claiming that -a=-2 is a root of this polynomial:

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