Answer:

Step-by-step explanation:
The given rational equation is

The Least Common Denominator is
.
Multiply each term in the equation by the LCD.

Simplify;


Expand and group similar terms






Answer:
Slope = 3
Step-by-step explanation:
Because it increases by 3 each time.
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
x + 2y = 4
2y = - x + 4
y = -x/2 + 4/2
y = - x/2 + 2
Comparing with the slope intercept form, slope = - 1/2
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (- 2, 1) is 2
To determine the intercept, we would substitute m = 2, x = - 2 and y = 1 into y = mx + c. It becomes
1 = 2 × - 2 + c = - 4 + c
c = 1 + 4 = 5
The equation becomes
y = 2x + 5
Answer:
<u>The correct answer is C. 6, 8 and 9 inches.</u>
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.
Scale used : 1 inch = 2 feet.
2. How long should the sides of the triangle be in inches?
For calculating the length of the sides of the triangle in the draw, we use the scale this way:
1st Side = 12 feet
12 feet/2 = 6 inches
2nd Side = 16 feet
16 feet/2 = 8 inches
3rd Side = 18 feet
18 feet/2 = 9 inches
<u>The correct answer is C. 6, 8 and 9 </u>