Answer:
4.33 : 6.49
Step-by-step explanation:
Given endpoints as A(-7,-2) and (2,4) find the length of the segment
d=√ (x₂-x₁) + (y₂-y₁)²
d=√ (2--7)² + (4--2)²
d=√ 9² + 6²
d= √ 81 +36
d=√117 =10.82
The partition is at (-3.4,0.4)
The length from A to the partition will be
A(-7,-2) (-3.4,0.4)
√ (-3.4--7)² + (0.4--2)²
√ 3.6²+2.4²
√18.72 = 4.33
Length of segment from partition to end point B
(-3.4,0.4) , B(2,4)
√(2--3.4)²+(4-0.4)²
√ 5.4² + 3.6²
√42.12
=6.49
The ration that results from the partition of the segment is;
4.33 : 6.49
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Answer:
13 y^2 - 13 y + 11
Step-by-step explanation:
Simplify the following:
15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7
Grouping like terms, 15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7 = (15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4):
(15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4)
15 y^2 - 2 y^2 = 13 y^2:
13 y^2 + (-15 y + 2 y) + (7 + 4)
2 y - 15 y = -13 y:
13 y^2 + -13 y + (7 + 4)
7 + 4 = 11:
Answer: 13 y^2 - 13 y + 11
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To find the percent increase, we divide the amount of change by the original number. The amount of change is the difference between the 2 numbers which in this case is 700 - 620 and the original number is 620.

700 - 620 is 80 so we're left with
which is 0.129.
Finally, since our problem is asking for a percent, we write 0.129 as a percent by moving the decimal point 2 places to the right to get 12.9%
So when the population of a town changes from 620 to 700, it has increased by 12.9%.