Answer:
Step-by-step explanation:
By definition a diameter goes through the center of the circle. So if we find the midpoint of the diameter, we will have the h and k of the center. Then we will use one of the points ON the circle as x and y and solve for r. Here goes:
to get a midpoint/center of (0, -9).
The standard form of a circle is
Filling in with h, k, x, and y:
which simplifies to
so
Now we can write the equation of the circle:
(5 - 2y) • (4y2 + 10y + 25)
Answer: m=1/6
Step-by-step explanation:
7. The slope is the number with the x next to it, so it would be -6x
8. The y-Intercept is the number WITHOUT the x, in this case would be -5
9. You always want the equation to be in y = M(slope)x + b(y-intercept). Subtract 2x on both sides to get 4y = -2x + 12. Divide both sides by 4 to leave y by itself. That leaves us with y = -1/2 + 3
10. Same thing minus x on both sides to get -3y = -x + 6. And since you don’t want a negative y, you need to divide by a negative. Divide both sides by -3 to get y = 1/3 -2. When you divide a number by a negative, it changes the sign in front of the number.
Hope this helps!
Answer:
9 and 24
Step-by-step explanation:
Recall that for a given number A and the given ratio x : y, the two parts having the ratio x : y is (xA) / (x + y) and (yA) / (x + y).
Given A = 33, x = 3, y = 8,
- (xA) / (x + y) = (3*33) / (11)
- = 99/11
- = 9
And,
- (yA) / (x + y) = (8*33) / (11)
- = 264/11
- = 24
Hence, the parts are 9 and 24 respectively.
