Step-by-step explanation:
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Formula for area of parallelogram:
A= Base x Height
Here Area, A= 18 1/3 ft²
Height, H=3 1/3 ft
Convert the mixed number into improper fraction.
18 1/3 = 55/3
and 3 1/3= 10/3
Put values in formula to get the length of base.
55/3=B x 10/3
Multiply both sides by 3.
55=10B
Divide both sides by 10.
55/10=B
or
B=11/2 ft
or
B= 5 1/2 ft
Answer: Base of window is 11/2 ft or 5 1/2ft
Answer:
(x + 1)² + (y - 6)² = 50
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.
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)
r = ![\sqrt{(-6+1)^2+(1-6)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-6%2B1%29%5E2%2B%281-6%29%5E2%7D)
= ![\sqrt{(-5)^2+(-5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-5%29%5E2%2B%28-5%29%5E2%7D)
= ![\sqrt{25+25}](https://tex.z-dn.net/?f=%5Csqrt%7B25%2B25%7D)
= ![\sqrt{50}](https://tex.z-dn.net/?f=%5Csqrt%7B50%7D)
(h, k ) = (- 1, 6 ), then
(x - (- 1))² + (y - 6)² = (
)² , that is
(x + 1)² + (y - 6)² = 50 ← equation of circle
Answer:
x=3 and y=4
Step-by-step explanation:
please verify the answer
Answer:
a number which produces a specified quantity when multiplied by itself.
Step-by-step explanation: