Answer:
m = -1/3
Step-by-step explanation:
y = 3x-4
This is in slope intercept form
y = mx+b m is the slope and b is the y intercept
The slope is 3 and the y intercept is -4
We want the slope of a line that is perpendicular
Perpendicular lines have slopes that multiply to -1
Let m be the slope of the line that is perpendicular
3 * m = -1
Divide each side by 3
3m/3 = -1/3
m = -1/3
Answer:
A) linear; function
Step-by-step explanation:
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Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.
We can solve for x for the other 3 options by setting up this equation:
7x+2 + 4x+7 + 8x = 180 | Simplify
19x + 9 = 180 | Subtract 9
19x = 171 | Divide by 19
x=9
Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72
Looking at the options again, we can see that A, B, and D are true, leaving C to be false.
Answer:
D is correct Answer. Parallel line on graph means infinity many solutions.
x=23
Simplifying
(3x + -50) + (7x)
Reorder the terms:
(-50 + 3x) + (7x)
Remove parenthesis around (-50 + 3x)
-50 + 3x + (7x) =
Combine like terms: 3x + (7x)
-50 + 10x
Solving
-50 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 10x = 180 + 50
Combine like terms: -50 + 50 = 0
0 + 10x = 180 + 50
10x = 180 + 50
Combine like terms: 180 + 50 = 230
10x = 230
Divide each side by '10'.
Simplifying
x = 23