Answer: The equation is 
Center = (-4,4)
Radius = 3
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Explanation:
This graph shows the circle's center is at (-4, 4)
Recall in general, the center is (h,k)
So we see that (h,k) = (-4,4). More specifically: h = -4 and k = 4.
The radius of this circle is r = 3 as this is the distance from the center to any point on the edge. For example, go from (-4,4) to (-1,4).
With the h, k and r values in mind, we then say the following:
which represents the equation of this circle.
Answer:
C 12/48
Step-by-step explanation:
Original fraction:
x/y
The ratio of the numerator to the denominator is 1:4, so
x/y = 1/4
Cross multiply:
y = 4x
If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third.
(x + 3)/(y - 3) = 1/3
Cross multiply:
3(x + 3) = 1(y - 3)
3x + 9 = y - 3
Above, we have y = 4x, so substitute 4x for y in the equation just above and solve for x.
3x + 9 = 4x - 3
12 = x
x = 12
y = 4(12) = 48
The original fraction is x/y = 12/48
Answer:
5 inches
Step-by-step explanation:
Theorem states that the smaller two sides of a triangle have to be greater than the biggest side.
The least possible answer would be 5 inches.
Expand
z^3 + 5z + 15 + 8 - 4z^2
Collect like terms
z^3 + 5z + (15 + 8) - 4z^2
<u>Simplify </u>
<u>z^3 + 5z + 23 - 4z^2</u>
Personal bank
A = P(1+r/n)^(nt)
A is the amount, P principle, n the number of times compounded per year and t time in the year.
r=.02
P=25000 and 3 years=t
A=25000(1+.02/1)^(3)
A= 26530.2 euros
Secure bank r=4.3%+.9%+.9%
A= 25000(1+.0448)^(3)= 28512.8
Secure back> private bank
