Answer:
width = 6 feet
length = 19 feet
Step-by-step explanation:
'w' = width
'2w+7' = length
50 = 2w + 2(2w+7)
50 = 2w + 4w + 14
36 = 6w
6 = w
length = 2(6)+7 = 19
Answer:
Mrs. Cook has to grade 63 tests.
Step-by-step explanation:
In order to find the answer, first you have to calculate 80% of the number of tests Ms. Morris has:
35*80%= 28
Then, you have to add the number that represents 80% to the number of tests Ms. Morris has to grade:
35+28=63
According to this, the answer is that Mrs. Cook has to grade 63 tests.
Answer:
p = 8
Step-by-step explanation:
Subtract 18 from behind the equal sign to cancel it out. This leaves you with 2(p+1)- 18= 0.
Next you'll need to pull out the terms to work with the beginning of the problem. 2(p+1)- 18= 0 would turn into 2p - 16 = 2(p - 8).
This would leave you with 2= 0, but that's not true so continue on to the variable.
So p - 8= 0 making the answer p = 8
Answer:
Step-by-step explanation:
Since 2 of the 3 binomials are identical I would start the distribution there.
(1 + 4i)(1 + 4i) = 
I'm sure you have learned in class by now that i-squared is = to -1, so we can make that substitution:
1 + 8i + 16(-1) which simpifies to
1 + 8i - 16 which simplifies further to
-15 + 8i. Now we need to FOIL in the last binomial:
(-15 + 8i)(-4 + 4i) = 
Combine like terms to get
Again make the substitution of i-squared = -1:
60 - 92i + 32(-1) which simplifies to
60 - 92i - 32 which simpifies, finally, to a solution of:
28 - 92i
