Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
Answer:
a.) her loss is 5 dollars
b.) her profit is 10 dollars
c.) she should sell them for $0.15
Hey there!
"9 pounds more than" means that you'll be adding 9 to the expression.
"half the weight w" means that you'll be calculating half of w each time you solve the equation, or 0.5w.
Your entire expression will be 0.5w + 9.
Hope this helped you out! :-)
Answer:
egh
Step-by-step explanation:
Answer:
c = 18.47
Step-by-step explanation:
This would create a triangle in which the length of the wall would be the missing side. We can use the Pythagorean Theorem to find this:
1. 
+ 
= 
2. 
+ 
=
3. 25 + 196 =
4. 221 =
5. 
= c
6. 18.47 = c
