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.)
983.625
9 = hundreds
8 = tens
3 = ones
6 = tenths
2 = hundredths
5 = thousandths
You want to round to the nearest hundredths
Look at the number on the right, if it's bigger than 5, round up, if it's 4 or lower, round down.
In this case, the number to the right is a 5, so you round the 2 (hundredths) up one so:
<span>983.63</span>
Answer:
A and E
Step-by-step explanation:
if its colder it means the negative number must be bigger then -15oF such as -22oF and -20oF
Answer:
3
Step-by-step explanation:
since he said he counted 34 legs.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34. you should first remove 2 from 34 that would give you 32. 32 divided by 4 which is the number of legs a single pig has is 8, 8 plus 2 divided by two which is the number of legs a single chicken has is 1 so I plus 8 is 9, but they said he has 10 animals, then you remove 4 again reducing the pig side to 28 and increasing the chicken size to 6. 28 divide by 4 is 7, and 6 divided by 2 is 3, so 3 plus 7 is 10, and ten is the number of animals, so the number of chicken is 3.
Median is 19
IQR is 12
Range is 22
See photo below for explanation
