Answer:
the answer is A.
just took the test e2020
Step-by-step explanation:
Question: What value of c will complete the square below (
) 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 <u>a = x, and b² = c</u>, but we need to find the numerical value of
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
6x2(3x4)(x1 I’m pretty sure it’s right if not let me now and I’ll figure something out but..hope it helps u
6x-2=5x+29
6x-5x-2=29
x-2=29
x=31
CB = DA = √3*3+1*1 = √10
CD = BA = √2*2+1*1 = √5
Sum is 2√10 + 2√5 ≈ 10.8. So answer A.