Answer:
7. C. 6
8. H. √34
9. A. (1, 3.5)
10. J. 10
Step-by-step explanation:
7. AB = 2y, BC = 6y, AC = 48
AB + BC = AC (segment addition theorem)
Substitute the above values into the equation
2y + 6y = 48
Solve for y
8y = 48
Divide both sides by 8
8y/8 = 48/8
y = 6
8. Distance between P(2, 8) and Q(5, 3):

Let,






9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:

Let 

Thus:



10. M = -10, N = -20
Distance between M and N, MN = |-20 - (-10)|
= |-20 + 10| = |-10|
MN = 10
5 feet 6 inches is equal to ((5*12)+6) inches, which is equal to 66 inches since 5*12=60 and 60+6=66
2 feet 9 inches is equal to ((2*12)+9) inches, which is equal to 33 inches since 2*12=24 and 24+9=33
Since 66 and 33 are the length and width (there isn't any specific order as to which measurement is the length or width) and the question is asking for square inches,(which is the area) so what needs to be done next is 66*33, which equals 2178, the square inches of plastic needed is 2718 square inches.
I couldn't keep the answer in the format of _ft _in because they are asking for the area in inches, and I don't think it would be smart to convert inches to decimal values of feet for reasons I won't talk about.
So yeah, your answer is <u><em>2178 square inches of plastic.</em></u>
Answer: 20 minutes
Step-by-step explanation:
She has 45 mins to complete her writing paper.
She spends:
minutes to plan her paper.
She spends:
minutes writing rough drafts.
How much time left does she have?




Simplify the fraction.

So she has approximately,
minutes.
Answer:
![\large\boxed{h\leq-\dfrac{19}{6}\to h\in\left(-\infty,\ -\dfrac{19}{6}\right]}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bh%5Cleq-%5Cdfrac%7B19%7D%7B6%7D%5Cto%20h%5Cin%5Cleft%28-%5Cinfty%2C%5C%20-%5Cdfrac%7B19%7D%7B6%7D%5Cright%5D%7D)
Step-by-step explanation:

3/10 plus 1/2 equals 8/10