For this case we have the following factorized expression:
Applying distributive property we have:
We add similar terms taking into account that: Equal signs are added and the same sign is placed.
ANswer:
Answer:
9 and a half inches
Step-by-step explanation:
Just count via the ruler!
x<3
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
(–10 + 8x) < 6x – 4
8x –6x < –4 + 10
2x < 6
x < 3
Answer:
x = - 3, y = ± 4
Step-by-step explanation:
Add corresponding elements and equate to corresponding element on right side, that is
x + 4 - 9x = 28
- 8x + 4 = 28 ( subtract 4 from both sides )
- 8x = 24 ( divide both sides by - 8 )
x = - 3
----------------------------------------------------
y² + 1 - 17 = 0
y² - 16 = 0 ( add 16 to both sides )
y² = 16 ( take the square root of both sides )
y = ± 
= ± 4
Answer:
28 feet
Step-by-step explanation:
Area of a rectangle is :
A = L × W
We are given A and a expression for L, so let's substitute :
448 = (2W-4) × W
Now we expand the left side :
2W²-4w = 448
Subtract 448 from both sides :
2W²-4W-448 = 0
Divide everything by 2 :
W²-2W-224 = 0
Now we factorise :
Find 2 numbers that multiply to give -224 and add to give -2 :
-16 and 14
Rewrite -2W with -16W and +14W :
W² - 16W + 14W -224 = 0
W(W-16) +14(W-16) = 0
(W+14)(W-16) = 0
W = -14 , W = 16
Only take positive value since this is lengths :
W = 16
Now we substitute W into the expression to find L :
L = (2W -4)
L = 2(16) - 4
L = 32 - 4
L = 28
Units will be feet since it is a length
Hope this helped and have a good day
