Step-by-step explanation:
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Answer:
Percent increase is 70%.
Step-by-step explanation:
The original price was $110. That will go on the bottom (denominator) in our calculation. On the top (numerator) we put the change in the dollar amount. The new price is $187. So we'll subtract:
187 - 110
= 77
The change in price was $77.
change/original
= 77/110
= 0.7
Change the decimal answer to a percent by multiplying by 100.
0.7 × 100
= 70%
The percent increase is 70%.
Answer:
12.9
Step-by-step explanation:
Intersecting chord segments are proportional, so:
35×a = 15×30
a = 12.9
To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.



Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.


