Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.)
1 answer:
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<h3>Answer: (x-2)(x-2)</h3>
This is the same as
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Explanation:
The middle coefficient is -4 and the last term is 4.
We need to find factors of the last term that add to the middle coefficient.
Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.
- -1 + (-4) = -5
- -2 + (-2) = -4
- 2 + 2 = 4
- 1 + 4 = 5
The second row of that list above is what we're after. So
-2 + (-2) = -4
-2 * (-2) = 4
Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor
We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.
Answer:
☯
☥ Which pair of expressions represents the area of the rectangle?
☐ 2(x + 1) + 2 (4) and 2x +9
☐ 2(x + 1) +2 (4) and 2x + 10
☐ 4(x + 1) and 4x + 1
☑ 4(x + 1) and 4x + 4
☪
- Length of a rectangle ( L ) = 4
- Breadth of a rectangle ( B ) = x + 1
☪
- Pair of expressions which represents the area of the given rectangle
☪
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Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = .
Hence , the right answer is of last option { i.e 4 ( x + 1 ) and 4x + 4 } .
And we're done !
Hope I helped!!
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