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
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The "opposite" of a number is that number with its sign changed.
__
- The opposite of zero is zero.
- A number and its opposite are located the same distance from zero on a number line.
- The opposite of a negative number is always a positive number.
Add 2x + 5 and 4x - 7
Then you isolate the variable or “get rid of” the numbers that re stopping you from getting “x”.
By doing the inverse operation.
If you add ___ you subtract ____ it form itself
If you subtract ___ you add ____ To itself.
So you Cancel out by getting rid of the other numbers.
Same thing with multiplying and dividing.
If you multiply ____ you divide___ but don’t divide “x”
Only the integer.
If you divide _____ you multiply ____ it
Answer:
the answer is 28°
Step-by-step explanation:
opposite angles or vertical angles because the 2 lines intersect each other.
