If this question is not multiple choice, another point on the circle could be (1,6) because it is 5 units away from (1,1).
Answer:
5/14
Step-by-step explanation:
The greatest common factor between 10 and 48 is 2. So divide both by 2 and you get 5/14. And you can not simplify anymore so that is 10/48 in it's simplest form.
Hope it helps!
Answer:
The present age of the mother is 40 years
Step-by-step explanation:
Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then
M = 2.5D
Given that Four years ago the ratio of their ages was 3:1
The mother's age 4 years ago was
= M - 4
and that of the daughter then was
= D - 4
Hence
(M - 4)/(D - 4) = 3/1
Cross multiply
M - 4 = 3(D - 4)
M - 4 = 3D - 12
M = 3D - 12 + 4
M = 3D - 8
Substitute into the first equation
3D - 8 = 2.5D
3D -2.5D = 8
0.5D = 8
D = 8/0.5
= 16 Years
M = 2.5D
M = 2.5 * 16
= 40 Years
Answer: B
Step-by-step explanation:
Reflection does preserve side length and dilation preserves angles.
Answer:
and 
and 
and
Step-by-step explanation:
Given
y varies inversely with x.
This is represented as:

Where k is the constant of proportionality.
(a): 
This gives:


-- the constant of proportionality.
To calculate the function, substitute 40 for k in 


This gives:


-- the constant of proportionality.
To calculate the function, substitute 33 for k in 


This gives:


-- the constant of proportionality.
To calculate the function, substitute 5000 for k in 
