Step-by-step explanation:
a,b) you can place all 17 in the middle and both circle will have 17 each. then remove 2 and place one each on separate sides. you can do this 8 times so that at the you'll end up with 1 in the middle and 8 each on separate sides.
the ways to do is then 9.
Q1
Answer:
Step-by-step explanation:
explanation for second step:
you divide each side by 3 to get rid of the '3' in '3x'
OK. I did it, and I have the solution.
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The length of the deck is (5 + 2x) .
The width of the deck is (4 + 2x) .
If the deck didn't have that big hole in the middle where the pool is,
then its area would be
(5 + 2x) · (4 + 2x) .
When you multiply that all out, you get Area = 4x² + 18x + 20
and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write
4x² + 18x + 20 = 90 .
Subtract 90 from each side: 4x² + 18x - 70 = 0
Divide each side by 2 : 2x² + 9x - 35 = 0
You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
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That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².
