Write the standard form of the equation of the circle with center (-5,-7) that passes through the point (7,5).
1 answer:
Answer:
(x + 5)² + (y + 7)² = 288
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 (- 5, - 7) to the point on the circle (7, 5)
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)
r = =
=
Hence
(x - (- 5))² + (y - (- 7))² = ()², that is
(x + 5)² + (y + 7)² = 288
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Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is ft.
Height of Skateboard ramp is ft.
From figure,
It is forming a Right angle triangle .
In ,
and
.
Clearly see that we need to find measure of angle .
Using Trigonometric ratio:
So,
Then
Therefore, Angle made by ramp with ground is ≈
