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.)
This is your perfect answer
Answer:
x > -2
Step-by-step explanation:
-3x + 12 < 18
Subtract the 12 from both sides and you'll get:
-3x < 6
Divide by -3
x > -2
You flip the sign when you mulitply by a negative number
Hopefully this helps, sorry if it doesn't
Answer:
The answer is B.) 3
Step-by-step explanation:
Answer:i would help but the picture is tooooo blurry
Step-by-step explanation: