The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
Write an equation for a circle with a center (-2, 8) and a radius of 9.
Then the equation will be
(x + 2)² + (y − 8)² = 9²
(x + 2)² + (y − 8)² = 81
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Answer:
The fan = x = 400
The heater = y = 3600
Step-by-step explanation:
Let the cost price of
The fan = x
The heater = y
Aaya bought a fan and a heater for Rs 4,000.
x + y = 4000
x = 4000 - y
He sold the fan at a profit of 25%
25% × x = 0.25x
And the heater at a loss of 5%.
5% × x = 0.05y
If he gained 7% on his total outlay, at
Hence:
0.25x + 0.05y = 7% × 4,000
0.25x + 0.05y = 280
Note:
x = 4000 - y
Hence:
0.25(4000 - y) + 0.05y = 280
1000 - 0.25y + 0.05y = 280
Collect like terms
-0.25y + 0.05y = 280 - 1000
-0.20y = -720
y = -720/0.20
y = 3600
x = 4000 - y
x = 4000 - 3600
x = 400
Hence, the price that he bought each item is given as:
The fan = x = 400
The heater = y = 3600
Answer:
48
Step-by-step explanation:
3 feet is 36 inches. 3/4 of an inch is .75 inches. So you have a very simple equation of 36/.75=48
21 poppyseed muffins. Let’s say that poppyseed muffins = x and blueberry muffins also = x but + 14 more would be
x + 14. So to solve x + x + 14 = 56
Simplifies to x=21 and 21 + 14 = 35 both combined equals 56.
