Answer:
Associative and Commutative properties
Step-by-step explanation:
Answer:
L = (x - 2) meters
Step-by-step explanation:
The area of the rectangle = (x² - 7x + 10) m²
The width = (x - 5) m
length = ?
Area of a rectangle = length × width
x² - 7x + 10 = L(x -5)
note L = length
divide both sides by (x-5)
(x² - 7x + 10)/(x - 5) = L
L = x² - 7x + 10 / (x -5)
Factorize x² - 7x + 10
find the numbers you can multiply to give you 10 and also add to give you -7
The numbers are -2 and -5. Therefore,
x² - 2x - 5x + 10 = 0
x(x - 2) - 5(x - 2) = 0
(x-5)(x-2) = 0
Let us go back to our division
L = x² - 7x + 10 / (x -5)
x² - 7x + 10 = (x-5)(x-2)
L = (x-5)(x-2) / (x -5)
L = (x - 2) meters
Answer:
6 7/12
Step-by-step explanation:
We need to get a common denominator, which is 12
12 1/4 - 5 2/3
12 1/4*3/3 - 5 2/3*4/4
12 3/12 - 5 8/12
We will need to borrow from the 12 since 3/12 is less than 8/12. Write the 1 we borrow as 12/12
11 + 12/12 + 3/12 - 5 8/12
11 15/12 - 5 8/12
6 7/12
-2/3
rise over run. plot the points and count.
