Joe can run twice as fast as Pete. They start at the same point and run in opposite directions for 40 minutes. The distance betw
1 answer:
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Answer:
a)2x-3y
b)4(9a-4)
Step-by-step explanation:
<h3>a)</h3>we want to expand the following expression:
well to do so we consider distributive property thus distribute:
reduce fraction which yields:
simplify Parentheses:
in the expression there's a common factor of 4 therefore factor it out:
Answer:
D
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) = (- 6, - 8), thus
(x + 6)² + (y + 8)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 ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = =
=
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D