Answer:
It is not. Also use ^2 to represent squaring a number.
Step-by-step explanation:
First, USE ^2 FOR SQUARED
It is not correct.
The standard equation of a circle is (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius.
In your question the center is (-2,3) and the radius is the length of the line segment from the center to any pointon the circle. nd hey, it tells us a point on the circle is (-2,6).
Let's take it one part at a time. we know h and k so let's plug them in.
(x-h)^2 + (y-k)^2
(x-(-2))^2 + (y-3)^2
(x+2)^2 + (y-3)^2
now r is the length of the line segment from (-2,3) and (-2,6). To get from (-2,3) to (-2,6) hopefully it is pretty obvious you just move up (so int he y direction) 3 spaces. this makes r = 3. int he formula we want r^2 and that is 9. The result is that the circle has a formula of:
(x-h)^2 + (y-k)^2 = r^2
(x+2)^2 + (y-3)^2 = 9
The formula Juanita got is actually a hyperbola.
Answer:
Diameter of pound = 10 yd
Step-by-step explanation:
Given area of circular pond = 78.5 square yd
To find the diameter of the pond.
Solution:
The pond being circular in shape, the area of pond can be given as:
⇒ 
where 
represents radius of the pond.
Thus, we have:
⇒ 
Using 
⇒ 
Solving for
Dividing both sides by 3.14
⇒ 
⇒ 
Taking square root both sides.
⇒ 
⇒ 
So, radius = 5 yd, as distances are always positive.
Diameter = 
Thus, diameter of pound = 10 yd
Answer:
The store paid 6.67 times the profit made on the jeans
Step-by-step explanation:
Let the amount the clothing store pay for Jean be X
Let the amount the clothing store sells Jean be Y = X ×1.15
The profit (P) made is the difference between amount the clothing store sells Jean and the amount paid for Jean = Y - X = 1.15X - X
Profit (P) = 0.15X
X = P/0.15 = 6.67P
Therefore, the store paid 6.67 times the profit made on the jeans
Answer:
0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00
Step-by-step explanation:
Mean = 
Standard deviation = 
We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00
P(14<x<16)
Formula : 
At x = 14
Refer the z table for p value
P(x<14)=0.1922
At x = 16
Refer the z table for p value
P(x<16)=0.6141
P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42
So, Option C is true
Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00
