The graph of the circle equation is graph (d)
<h3>How to determine the circle?</h3>
The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
Read more about circle equation at:
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14) The sum of anything and its additive inverse is zero. (That is the definition of additive inverse.) The appropriate choice is ...
... A) equal to 0
C = 5(F-32)/9 Multiply each side by 9
9C = 5(F-32) Distribute
9C = 5F - 160 Add 160 to each side
9C + 160 = 5F Divide each side by 5
9/5C + 32 = F
Answer:
Chi chi canhit a golf ball three times further than Rory.
Step-by-step explanation:
To compare the distance between the two golfers, we can set up a ratio:
Since the distance that Chi chi can hit the ball is 3:1 the distance that Rory can hit the ball, than Chi chi can hit the golf ball three times further. When reducing a ratio or fraction to lowest terms, you need to divide the numerator and the denominator by the same factor. Since 72 can be evenly divided by 24, we can divide both the numerator and the denominator by 24 to get 3:1.
