Let's call the width
and the length
based on this, we can make two equations based on the first and second sentences in the problem.


If we substitute
for
into the second equation, we can make the following:


- Use the Distributive Property


- Subtract 4 from both sides

- Divide both sides by 4 and simplify
Now, let's find
:

The length of the rectangle is
and the width of the rectangle is
.
Answer:
D = sqrt[ (2-4)^2 + (7- (-1))^2] = ~8.2
Step-by-step explanation:
D = sqrt[ (Fx-Gx)^2 + (Fy- Gy)^2]
5x - 2 equivalent to to 2x−2+3x
answer is B. 2x−2+3x
<h3>Explanation:</h3>
GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.
<em>Example</em>
The numerator and denominator of 6/8 have GCF of 2:
6/8 = (2·3)/(2·4)
The fraction can be reduced by canceling those factors.
(2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4
___
LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.
<em>Example</em>
The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.
2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15