Help plssss I will do anythinv
1 answer:
You might be interested in
Answer:
The smallest value of p+q is 11
It happens when p = 6 and q = 5.
=======================================================
Explanation:
Let's factor 180 in such a way that exactly one factor is a perfect square.
I'll ignore the trivial factor of 1.
Here are the possible factorizations we could go with:
180 = 4*45
180 = 9*20
180 = 36*5
Those factorizations then lead to the following
Then we have
p+q = 2+45 = 47
p+q = 3+20 = 23
p+q = 6+5 = 11
The smallest value of p+q is 11 and it happens when p = 6 and q = 5.
Side note: p+q is smallest when we go with the largest perfect square factor.
The vertices of the triangle are the points where any pair of lines intersect.
We start by setting up the system
Using one of the two equations we can derive the correspondent y value:
So, one vertex is (1, 1)
We choose the other two pairs of lines to find the other vertices:
So, the three vertices are (1, 1), (2, 0), (-1, -3).