Complete the ordered pairs for the given linear equation. Then plot The points and grab the Quetion by connecting the points
1 answer:
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Answer:
(x - 1)² + (y - 4)² = 25
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
here (h, k) = (1, 4), so
(x - 1)² + (y - 4)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 8)
r =
= =
=
= 5
Hence
(x - 1)² + (y - 4)² = 5², that is
(x - 1)² + (y - 4)² = 25 ← equation of circle
Answer:
n = - 5
Step-by-step explanation:
Using the rules of exponents
×
⇔
⇔
Consider the left side
=
=
= , then
=
Since the bases on both sides are the same, equate the exponents
2 + n = - 3 ( subtract 2 from both sides )
n = - 5