Answer:
B, 6
Step-by-step explanation:
In the equation (x - c)² + (y - d)² = r², (c, d) is the center and r is the radius. In this case, c = -2, d = 7 and r = 6 so the center is (-2, 7) and the radius is 6.
Answer:
(- 3, - 4 ) and r = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 3)² + (y + 4)² = 25 ← is in standard form
(x - (- 3))² + (y - (- 4))² = 5²
with centre = (- 3, - 4) and r = 5
Answer:
Step-by-step explanation:
The center is at (1,-2) from the graph.
The radius is 2 [3 - 1 on the horizontal]
The equation of the circle is
(x - 1)^2 + (y + 2)^2 = 2^2
(x - 1)^2 + (y + 2)^2 = 4
Answer:
length is 28 meters
width is 15 meters
Step-by-step explanation:
Write out formulas and assign variables:
Width: w
Length: l = 2w - 2
Here is a diagram:
<u> 2w - 2 </u>
| | w
|_________________|
The perimeter formula for rectangle is P = 2(l +w). Substitute the perimeter and the formula for length into the formula.
P = 2(l +w)
86 = 2(2w - 2 + w) Simplify inside the brackets
86 = 2(3w - 2) Divide both sides by 2
43 = 3w - 2 Add 2 to both sides
45 = 3w Divide both sides by 3
w = 45/3 Variable on left side is standard formatting
w = 15 Width of basketball court
Substitute width into the length formula to fin length.
l = 2w - 2
l = 2(15) - 2
l = 30 - 2
l = 28 Length of basketball court
Therefore the length is 28 meters and the width is 15 meters.
Answer:
x = 2
Step-by-step explanation:
