Answer:
centre = (2, 4)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 4x - 8y - 5 = 0
Rearrange the x/y terms together and add 5 to both sides
x² - 4x + y² - 8y = 5
Use the method of completing the square on both the x/y terms
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16
(x - 2)² + (y - 4)² = 25 ← in standard form
with centre (2, 4) and r = 
= 5
Answer:
5
Step-by-step explanation:
We can express 125 as 5 x 5 x 5. Therefore, the value of the cube root of 125 is 5.
![\sqrt[3]{125} = \sqrt[3]{5 \times 5 \times 5} = 5](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B5%20%5Ctimes%205%20%5Ctimes%205%7D%20%20%3D%205)
Y = -2/3x + -2
slope = -2/3x
y-intercept= -2
Answer:
See attached
Step-by-step explanation:
[] I gave you the explanation of going from table to graph on the last question, so I will explain graph to table.
[] First, we will plot (0, 5) as it is the y-intercept.
-> I am using a square = 2-units scale as 5 is a larger number and we can see the table goes by 2's.
-> Then, using rise-over-run for the slope, we will move up one point and 2 points to the right. Repeat. Then we will graph the line.
[] Now, we can put (0, 5) into the table.
-> For the rest, we will look at our graph.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
