Answer:

Step-by-step explanation:
1) Rewrite
in the form
, where a = y and b = 1.

2) Use Square of Difference:
.

3) Factor
.
1 - Ask: Which two numbers add up to 6 and multiply to -7?
-1 and 7
2 - Rewrite the expression using the above.

Outcome/Result: 
4) Rewrite the expression with a common denominator.

5) Expand.

6) Collect like terms.

7) Simplify
to 

Answer:
Option D
Step-by-step explanation:
the height of the first rectangle ( 30 ) over the height of the other rectangle ( 3 ) is 30/3 and equals 10
the length of the first rectangle ( 60 ) over the length of the second rectangle ( 6 ) is 60/6 and equals 10
the ratio of the sides of both rectangles are equivalent therefore the are similar
we are given two points as
(3, 16) and (5, 10)
firstly , we will find slope
slope is m
so, we can use formula

now, we can plug points



we can plug it in y=mx+b
we get

now, we can select any one points
and find b
(3,16)
x=3 and y=16

we can find b

now, we can plug back b
and we get

so, equation is

and
...............Answer
Answer:
8
Step-by-step explanation:
Let's set this up to see if we can simplify it a bit:

Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:

10 divided by 5 is 2, and 2 cubed is 8
Answer:
Toothbrushes: 100
Floss: 1050
Step-by-step explanation:
to find the number of toothbrushes, you multiply 50*20....to get the floss you multiply 15*70