(x-center)^2+(y-center)^2=r^2
x^2+y^2=r^2
(5)^2+(-12)^2=r^2
25+144=r^2
169=r^2
r=13
the answer is
-10 times- 5
Answer: (1) 2p: 5q.
(2) 3:10.
(3) 5:6.
Step-by-step explanation:
To find : Ratio
(1) 4p²q : 10pq²

i.e. Simplified ratio of 4p²q : 10pq² is 2p: 5q.
(2) 9 months : 2½ years
1 year = 12 months

Now, 9 months : 2½ years = 
Hence, Simplified ratio of 9 months : 2½ years is 3:10.
(3) 5 m : 600 cm
1 m = 100 cm
So, 5m = 500 cm
Now, 5 m : 600 cm = 
Hence, Simplified ratio of 5 m : 600 cm is 5:6.
Answer: y = 5
Step-by-step explanation:
This triangle is isosceles.
So, ∠ABC = ∠ACB = 75°
Now,
sum of interior angles of a triangle = 180°
∠ABC + ∠ACB + ∠BAC = 180°
75° + 75° + (4y + 10)° = 180°
160° + 4y° = 180°
4y° = 20°
y = 5
Answer:
The slope of the line that contains the points (-1, 2) and (4, 3) is:
Step-by-step explanation:
Given the points
Finding the slope between (-1, 2) and (4, 3)

Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 2] / [4 - (-1)]
= 1 / 5
Thus, the slope of the line that contains the points (-1, 2) and (4, 3) is: