Answer:
Option B:

Step-by-step explanation:
Given
Centre = (h,k) = (4,1)
Radius = r = 2
The standard equation of circle is:

Putting the values of h,k and r

Hence, the correct option is option B

The distance between any 2 points P(a,b) and
Q(c,d) in the coordinate plane, is given by the formula:<span>
<span>
</span></span>
Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.





Answer: B and D
Let n be unknown number, then 1/5 of this number is 1/5n. When you add these two numbers, you get

You know that this sum is equal to 24, so

1. Multiply this equation by 5:

2. Solve it:

Answer: n=20, correct choice is B.
Answer:
22:2 33:3 44:4 ...
Step-by-step explanation:
just multiply numbers by natural numbers
Answer:
Ratio: 3:2
LN = 18
Step-by-step explanation:
"similar" means that all the angles are the same and the sides were all increased by the same proportion.
Thus, we know that MN/YZ = LM/XY = NL/ZX
First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.
MN/YZ = 15/10 = 3/2
(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)
To find the missing side, we simply multiply XZ by 3/2.
12 * 3/2 = 18, so LN = 18.