Answer:
see explanation
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 - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = 
= 3
this is shown in graph b
Answer:
1) Yes it has a 90° angle at point B.
2) No it has no points of 90° angles. Even though point y looks like it, the line from y to x is not straight like an L from line y to z.
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Answer: As a decimal it would be .136. You can write it as a decimal by dividing by 100 as you would need to get this total by multiplying by 100. Just reverse the steps into making a percentage.
Example: 70 out of 200.
You'd do 70 divided by 200 and get .35.
After, you would multiply by 100 to turn it into a percentage.
If you want to turn it into a decimal divide by 100.
∛x-1+3 = 0
Add -3 to both sides to give ∛x-1 = -3.
Now cube both sides to give x - 1 = -27. Add 1 to both sides to find x, which is -26.
