Answer:
See below.
Step-by-step explanation:
a)
105/3 = 35
35/5 = 7
7/7 = 1
429/3 = 143
143/11 = 13
13/13 = 1
105 = 3 * 5 * 7
429 = 3 * 11 * 13
Not co-prime
For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.
Answer:
(a) Circle Q is 9.4 units to the center of circle P
(b) Circle Q has a smaller radius
Step-by-step explanation:
Given


Solving (a): The distance between both
The equation of a circle is:

Where


P and Q can be rewritten as:


So, for P:


For Q:


The distance between them is:

Where:
--- 
--- 
So:





Solving (b): The radius;
In (a), we have:
--- circle P
--- circle Q
By comparison

<em>Hence, circle Q has a smaller radius</em>
Answer:
yes
Step-by-step explanation:
Direct variation is represented as
y = kx, where k is a constant.
We can rewrite y - x = 0 as
y = x (add x to both sides)
This can be looked at as
y = (1)x , so this is a direct variation relationship where k = 1
A 35, 50 the 2 numbers in the middle are 35 &47 still
$ 45 is ur y value and 180 is ur x value....slope = y/x
so ur slope is : 45/180 = 0.25 or 1/4