Answer:

Step-by-step explanation:
The equation of a circle is given by:

Where (h, k) is the center and r is the radius.
The center of the circle is (1, -4).
And the radius is 3.
Substitute:

Simplify. Thus, our equation is:

Answer:
2 Numbers; -10, and 10.
Step-by-step explanation:
I'm going to use the substitution method.
4x + 4y = -16
-8x - 6y = -20
4x + 4y = -16
- 4x - 4x
--------------------------
4y = -4x - 16
------ ------ ------
4 4 4
y = -x - 4
-8x - 6(-x - 4) = -20
-8x + 6x + 24 = -20
-2x + 24 = -20
- 24 - 24
----------------------------
-2x = 44
------- -------
2 2
x = 22
4(22) + 4y = -16
88 + 4y = -16
- 88 - 88
------------------------
4y = -104
------ ---------
4 4
y = -26
The answer is (22, -26).
Answer:
32h = d
Step-by-step explanation:
if you multiply the speed and the time spent running, it will give you the distance you run.
Greetings!To find the length of any side of a
right triangle, you can use the
Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:



Combine like terms:
Add -169 to both sides:

Factor out the Common Term (2):
Factor the Complex Trinomial:



Set Factors to equal
0:


or


However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:

I hope this helped!
-Benjamin