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:
Joshua can spend up to 3.21 on a card.
Step-by-step explanation:
is the correct equation because Joshua is spending 21.79 on flowers, a certain amount on the card, and the maximum he can spend is 25. That is why you use the less than or equal to sign.
To solve, first subtract 21.79 from both sides to get: 
. This means that Joshua can spend up to 3.21 on a card.
Hope it helps!
Step-by-step explanation:
The answer is in the picture
The slope of the trend line is -10
Answer:
x = 34
Step-by-step explanation:
F = 180 - (90 + 42)
F = 48
2x + 64 + 48 = 180
2x = 180 - 64 - 48
2x = 68
x = 68/2
x = 34
