Answer:
(x + 5)^2 + (y + 8)^2 = 6^2
Step-by-step explanation:
A circle formula: (x - h)^2 + (y - k)^2 = r^2
We are given diameter. To find the radius divide diameter by 2.
d = 12
12/2 = r = 6
H and K are given to be (-5 , -8)
(x - (-5))^2 + (y - (-8))^2 = 6^2
(x + 5)^2 + (y + 8)^2 = 6^2
I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.
Related angle is 45 degrees, set up a triangle and use exact trig values to solve for x and y, then rationalise the denominators
The general formula for the margin of error would be:
z * √[p (1-p) ÷ n]
where:
z = values for selected confidence level
p = sample proportion
n = sample size
Since the confidence level is not given, we can only solve for the
<span>√[p (1-p) ÷ n] part.
</span>
p = 44/70
n = 70
√[44/70 (1 - (44/70) ÷ 70]
√[0.6286 (0.3714)] ÷ 70
√0.2335 ÷ 70
√0.0033357 = 0.05775 or 0.058 Choice B.
Coordinate form is (x,y) using the variables respectively.
2x+2y=-2
-2y
2x= -2-2y
/2
x=-1-y
9x-6y=36
9 (-1-y)-6y=36
-9-9y-6y=36
+9.
-9y-6y=45
-15y=45
/-15
y=-3
x=-1-y
x=-1- (-3)
x=2
answer: (2,-3)