The sum (addition) of one-half (
) and four (4) times (multiplication) a number (n) is equal to (=) five-sixths (
) subtracted from (subtraction) five (5) times (multiplication) the same number (n).
+ 4n = 5n - <span>
Multiply both sides by 6
</span>
+ 4n = 5n - 5 Simplify the fraction
3 + 4n = 5n - 5 Subtract 5n from both sides
3 - n = -5 Subtract 3 from both sides
-n = -8 Divide both sides by -1
n = 8
Answer:
3.25
Step-by-step explanation: Hope it's helpful
I think all exterior angles add up to 360
The easiest way to find a parallel equation is to write your equation in slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables.
You're given 5x + 10y = -4.
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4
2) Divide both sides by 10 to get y by itself on the left. Simplify:
<span>Remember that for
parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.
When the equation is in slope-intercept form, </span>
, you can see that
.
A parallel equation is in the form:
Plug in anything you want for b. One example is:
-------
Answer:
(just one example)
Answer:
Step-by-step explanation:
1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.
2) When you know a point that the line must pass through and its slope, you can use point-slope form (
) to write an equation. 
and 
represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for , and -6 for .
