Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
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 the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = 
= 6
72 because right number on the top of the bar is six, and 12•6=72
Answer:
77.77 or 78%
Step-by-step explanation:
She got 35/45 so
35 divided by 45 is 0.777777778
0.777777778 x 100 = 77.7777778
77.77% or 78%
Answer:
g(5x)= 20
Step-by-step explanation:
g(x)=4 is basically saying that 1 x is equal to 4.
g(5x) wants to know what 5 times 1 x is equal to (5 times 4 (4 is equal to 1 x)
g(5x)= 5(x=4)
g(5x)= 20
What is the first quartile in this data set? 67, 68, 69, 70, 70, 70, 72, 73, 73, 75, 75
NARA [144]
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