Answer:
10
Step-by-step explanation:
2x+46+3x-6 = 90
5x + 40 = 90
5x = 50
x =10
OK. I did it, and I have the solution.
_____________________________________
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.
___________________________________________________
That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².
Answer:
I believe it is Dilation
Step-by-step explanation:
Answer:
y = (y2 -y1)/(x2 -x1)x +(y1 -(y2 -y1)/(x2 -x1)x1)
Step-by-step explanation:
You can use two points (x1, y1) and (x2, y2) from the table to make the following computations:
The slope (m) is ...
m = (y2 -y1)/(x2 -x1)
and the y-intercept (b) can be computed from ...
b = y1 -m(x1)
Then put these into your equation ...
y = mx +b