Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
It should be D (second column, bottom box). The answer can't be negative because the exponent is an odd number. You can also eliminate the two answers on row one, because the question isn't asking for the <em /><em>square root.</em>
A rational number is a number that can be made by dividing two integers. An integer is a number that doesn't have a fraction part.
1. 2.4 - rational
2. 74 - rational
3. 17.3333333… - rational
4. π -irrational
5. there is no number
6. –18 - rational
7. there is no number
8. 87.125 - rational
9. –30 - rational
10. –8.3 -rational
11. 58.25 -rational
12. 121 -rational
13. 4.5 -rational
14. 3 7/10 -rational
As you can see, most numbers are rational. But, when you come across pi or when you have a decimal that goes on forever without repeating (like some square roots), it tends to be irrational.
Answer:
Part A
30
44
26
Part B
176
Step-by-step explanation:
Total: 65+110+75 = 250
P(O) = 75/250 × 100 = 30%
P(A) = 110/250 × 100 = 44%
P(K) = 65/250 × 100 = 26%
Apple juice:
44% of 400
44/100 × 400
176
