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.)
He can make 5 sculptures.
We divide the amount of clay, 14 pounds, by the amount it takes to make one sculpture, 2 4/5 pounds:
14 ÷ 2/45 = 14 ÷ 14/5 = 14/1 ÷14/5 = 14/1 × 5/14 = 70/14 = 5
Answer:
<h2>x = 4</h2>
Step-by-step explanation:
ΔLMN and ΔPMQ are similar. Therefore thw sides are in proportion:
We have:
LM = 3 + 9 = 12
PM = 9
NM = x + 12
QM = 12
Substitute:
<em>cross multiply</em>
<em>divide both sides by 9</em>
<em>subtract 12 from both sides</em>
The store sold 482 cameras in the month of March.
An equation is an expression that shows the relationship between two or more variables and numbers.
Assuming that the same number of camera is sold each month. Let x represent the amount of camera sold in March.
Since the electronics store sold 1,446 cameras in the first 3 months, hence:
3x = 1446
x = 482 cameras
The store sold 482 cameras in the month of March.
Find out more on equation at: brainly.com/question/2972832
