Answer:
See below
Step-by-step explanation:
For a right triangle, there are relationships between the sides and the angles of the triangle:
I would study the attached image for a better understanding.
The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is 
Need to determine value of r.
Slope of a line passing through point 
is given by following formula:
--- eqn 1
On substituting the given value in (1) we get
Hence the value of "r" is -2
Answer:
Step-by-step explanation:
28350, two thousand and eight, three hundred and fifty
Step-by-step explanation:
Simplifying 40 = 15 + -9x + -2
Reorder the terms: 40 = 15 + -2 + -9x
Combine like terms: 15 + -2 = 13 40 = 13 + -9x
Solving 40 = 13 + -9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9x' to each side of the equation. 40 + 9x = 13 + -9x + 9x
Combine like terms: -9x + 9x = 0 40 + 9x = 13 + 0 40 + 9x = 13
Add '-40' to each side of the equation. 40 + -40 + 9x = 13 + -40
Combine like terms: 40 + -40 = 0 0 + 9x = 13 + -40 9x = 13 + -40
Combine like terms: 13 + -40 = -27 9x = -27
Divide each side by '9'. x = -3
Simplifying x = -3
Answer:
5/12
Step-by-step explanation:
5x - 12y = 24
~Subtract 5x to both sides
-12y = 24 - 5x
~Divide -12 to everything
y = -2 + 5/12x
~Reorder
y = 5/12x - 2
Slope is represent by "m" in slope intercept form [ y = mx + b ]. As we can see m = 5/12 from the given information.
Best of Luck!
