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.)
Answer:
No, this is not a linear function
Step-by-step explanation:
If you graph each point, you will notice that none of the three points line up together in one line with a consitstant slope.
D. You multiply all measurements together. The thickness has nothing to do with how much air will be inside. (: hope this helped ya :)
Answer:
C None of the above
Step-by-step explanation:
Here are the required options
Choose all answers that apply
A (5g+3h).8
B (5g+3h).6
C None of the above
Given the expression;
(5g+3h+4).2
Expand
(5g+3h+4).2
= 2(5g+3h+4)
= 2(5g) + 2(3h) + 2(4)
= 10g+6h+8
Checking option A;
(5g+3h).8
Expand
= 8(5g+3h)
= 8(5g) + 8(3h)
= 40g+24h
Checking option B:
(5g+3h).6
Expand
= 6(5g+3h)
Using the distributive law;
= 6(5g) + 6(3h)
= 30g+18h
Since none of the expressions for A and B is equivalent to 10g+6h+8, hence <u>NONE of the options are correct</u>
