Answer:
Slope = -1
Step-by-step explanation:
m = y^2 - y^1 / x2 - x1
let (x1, y1) = (-3,4) & (x2, y2) = (2,-1)
m = -1-4 / 2-(-3) = -5/5 = -1
Answer:
Simplify the expression:
1x+10y=4+3
Step-by-step explanation:
1 : x+10y=4+3
x+10y=4+3
x+10y=7
x+10y-10y=7-10y
x=7-10y
hope it helps
Answer:
Jon is 11 years old
Step-by-step explanation:
We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.
First sentence: "<em>Six years ago Jon was one-sixth the age of his mother</em>."
translates into:
J - 6 = (M - 6) / 6
Second sentence: "<em>in four years time his age doubled and increased
</em>
<em>by 10 will match his mother's age</em>."
2 * (J + 4) + 10 = M + 4 which removing parentheses gives: 2 J + 18 = M + 4
We solve for "M" in the first equation
6 (J - 6) = M - 6
6 J - 36 = M - 6
M = 6 J - 30
and now use this result to substitute for M in the second equation
2 J + 18 = (6 J - 30) + 4
and work on solving for J
2 J + 18 = 6 J - 30 + 4
18 + 26 = 6 J - 2 J
44 = 4 J
J = 44 / 4
J = 11
parallel lines have the same slope
perpendicular lines have the negative reciprocal
ie 3--------> -1/3
Convert them into their simplest forms
20/12 = 10/6 = 5/3
25/15 = 5/3
So, they are equivalent