Step-by-step explanation:
2x - 3y = 25
+ (5x + 3y = 10)
=> 7x = 35, x = 5.
Therefore 2(5) - 3y = 25, 3y = -15, y = -5.
The solution pair is (5,-5).
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.
The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:
22/2 = 11 yards
32/2 = 16 yards
Then solve for the area of both circles.
π


π ≈ <span>380.13 (area of the pool)</span>
π


π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:

(area of the walkway)
Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:
424.12 ÷ 6 ≈ 70.69
So you'll need 71 gallons of paint!
Hope I helped and let me know if you have any questions :)
Answer:
For question 3, you would just add 2 to the x values and subtract 2 from the y values, so it would be:
J' (-2, 5)
K' (2, 6)
L' (1, 2)
M' (-3, 1)
For question 4 you would subtract 7 from the x values and 6 from the y values, and that would be:
W' (-6, 1)
X' (-1, -1)
Y' (-3, -6)
Z' (-8, -4)
For question 9 you would end up with:
X' (6, -5)
Y' (7, 1)
Z' (4, 0)
For question 10 you would end up with:
Q' (-1, 2)
R' (1, 7)
S' (-2, 6)
T' (-4, 1)
For question 11 you would end up with:
L' (4, 1)
M' (8, 5)
N' (6, 7)
P' (2, 3)
For question 12 you would end up with:
G' (6, -7)
H' (6, -4)
I' (1, -7)
Hope this is what you were looking for!
Step-by-step explanation:
The volume of the cylinder is the area of the base (a circle) times the height (you can immagine taking a disk, the base, and translate it along the height to "fill" the cylinder).
So you have:
Answer: -3y+12
Step-by-step explanation: