Answer:
Step-by-step explanation:
The standard equation of a circle is given by:
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
We are given that the center is (4, -7) and that the radius is √(43).
So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:
Simplify. Hence, our equation is:
X is the input and y is the output, "more" indicates addition, so 11 more than the input equals x + 11. Answer: y = x + 11
Answer:
11 units
Step-by-step explanation:
<em>hey there,</em>
<em />
< A square has 4 sides that are all always equal to each other. The perimeter is all the sides summed up together. That means (for example), if one side of the square is 2 cm, then we know that the perimeter is 8 cm, because 2 + 2 + 2 + 2 = 8 (or 2×4=8).
Here we are given that one side is equal to "x-5". Pretend that is a number and solve as I did just right above:
(x-5)×4 = 4x -20
Now we know that the perimeter is (4x-20) units (when you don't know what the units are then just put "units").
We also know that the perimeter can be a number which is 24. That means these two values are equal to each other.
4x-20 = 24
Now solve! Bring x to one side, and all the numbers to the other side.
4x = 44
x = 11
We now know that the value of one side of the square (x) is equal to 11 units. >
<u>Hope this helped! Feel free to ask anything else.</u>
Answer:
Vertical.
Horizontal.
Diagonal (often called "cross-products")
Step-by-step explanation:
X+5 = -2x + 12
-5 -5
x = -2x + 7
+2x +2x
3x = 7
x = 2 1/3
y = x + 5
y = 2 1/3 + 5
y = 7 1/3
