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)
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Answer:
D 144 in hope this helps you on your test
Answer:
The answer to your question is: x⁴ + 4x³ + 8x² + 8x - 5
Step-by-step explanation:
(x² + 2x - 1)(x² + 2x + 5) = x⁴ + 2x³ + 5x² + 2x³ + 4x² + 10x - x² - 2x - 5
= x⁴ + 4x³ + 8x² + 8x - 5
Answer:
Step-by-step explanation:
Let's call x the length of each piece in yards
If the ribbon is cut into 8 equal pieces then the sum of the pieces is:
Then:
Now we solve the equation for x
Divide both sides of equality by 8
So the length of each piece is 
of a yard.
This is: 1.125 yards
