Answer:
This a circle centered at the point
, and of radius "3" as it is shown in the attached image.
Step-by-step explanation:
Recall that the standard formula for a circle of radius "R", and centered at the point
is given by:

Therefore, in our case, by looking at the standard equation they give us, we extract the following info:
1)
since the radius must be a positive number and (
) is not a viable answer.
2)
for (
) to equal 
3)
for (
) to equal 
Therefore, we are in the presence of a circle centered at the point
, and of radius "3". That is what we draw as seen in the attached image.
Answer:
897 liters
Step-by-step explanation:
The motor oil is composed of 8 liters of natural oil and 5 liters of synthetic oil. This means there is a ratio of 8/5. We have 552 liters of natural oil to y liters of synthetic. This is the ratio 552/y. Create a proportion that compares the two ratios.

Solve by cross multiplying.
8y = 5(552)
8y = 2,760
y= 345
345 liters of synthetic oil.
Together 552+345= 897 liters of motor oil.
Since the distance of MN is 31 and we have a distance of ML
of h -15 and LN of 2h – 8, therefore
ML + LN = h -15 + 2h – 8 = 31
h = 18
substituting the value of h to the expression for LN
obtaining
LN = 2h – 8
LN = 2(18) – 8
LN = 28
Therefore the length of the segment LN is 28 units
Answer:
Logan ate his vegetables, so he can have a bowl of icecream.
Answer:
it think this question is 25%