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Ierofanga [76]
3 years ago
12

(please help!!!!!) Factor the polynomial b³-49b

Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer:

b(b+7)(b-7)

Step-by-step explanation:

Start by factoring a b out:

b(b^2-49b)

For the term b^2-49b, we're looking for two numbers that add up to 0 and multiply to be -49:

7+(-7)=0,\\7\cdot -7=-49\\

Two numbers: 7\text{ and }-7

Therefore, we have:

\boxed{b(b+7)(b-7)\checkmark}

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When using the given diagram to determine the area of the pentagon by decomposition, which statements are correct?:
pogonyaev

Answer:

Options (B) and (E)

Step-by-step explanation:

Area of ΔABC = \frac{1}{2}(\text{Base})(\text{Height})

                        = \frac{1}{2}(14)(6)

                        = 42 in²

Area of trapezoid ADEC = \frac{1}{2}(b_1+b_2)h

[Here, b_1 and b_2 are the parallel sides and 'h' is the height of the isosceles trapezoid given]

= \frac{1}{2}(10+14)(8)

= 96 in²

Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC

                                    = 42 + 96

                                    = 138 in²

Therefore, Options (B) and (E) are the correct options.

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Step-by-step explanation:

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