End-of-module Assessment task 7-1 answers.

Mathematics

1 answer:

Jobisdone [24]2 years ago

6 0

Answer: 6

Step-by-step explanation:7 -1=6

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Choose the constant term that completes perfect square trinomial y^2+0.1y

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If this is correct the answer would be
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The volume of a rectangular prism is 948.6 m3. The prism has a base that is 3.1 m by 5.1 m. Find the height of the prism.

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What value of cc will complete the square below and make the expression a perfect square trinomial?

Sav [38]

Question: What value of c will complete the square below ( $x^{2} +30x+c$ ) and make the expression a perfect square trinomial?

Answer: c = 225

Step-by-step explanation:

Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that a = x, and b² = c, but we need to find the numerical value of $c$ .

To do this, note that the middle term, or 2ab, corresponds with (is equal to) 30x. We know that a = x, and thus, 2ab = 2bx. Now, 2bx and 30x are corresponding terms; thus, 2bx = 30x.

Dividing by $2x$ on both sides gives us b = 15. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)