Answer:
X=31
Step-by-step explanation:
Just subtract 180 by 149 to get you answer 31.
Answer:
y=5/3x -1
Step-by-step explanation:
you have 2 points: (0, -1) and (3, 4)
slope is the rise/run
so -1-4/0-3
=-5/-3
1 2/3
Step-by-step explanation:
Equation of a circle in standard form is given as:
Answer:
Step-by-step explanation:
Simplifying
6x + -3 = (3x + -2)
Reorder the terms:
-3 + 6x = (3x + -2)
Reorder the terms:
-3 + 6x = (-2 + 3x)
Remove parenthesis around (-2 + 3x)
-3 + 6x = -2 + 3x
Solving
-3 + 6x = -2 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 6x + -3x = -2 + 3x + -3x
Combine like terms: 6x + -3x = 3x
-3 + 3x = -2 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + 3x = -2 + 0
-3 + 3x = -2
Add '3' to each side of the equation.
-3 + 3 + 3x = -2 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = -2 + 3
3x = -2 + 3
Combine like terms: -2 + 3 = 1
3x = 1
Divide each side by '3'.
x = 0.3333333333
Simplifying
x = 0.3333333333
Answer:
m= -3/2
Step-by-step explanation:
First, we must find the slope of the line given. We are given the equation:
y-2/3x=2
We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.
2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.
y-2/3x+2/3x=2+2/3x
y=2+2/3x
Rearrange the terms.
y= 2/3x+2
Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.
Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.
1. Negative
m=2/3
Negate the slope.
m= -2/3
2. Reciprocal
m= -2/3
Flip the numerator (top number) and denominator (bottom number).
m= -3/2
The perpendicular slope is -3/2
