Full question:
Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?
Answer:
The width of the area model is 2x + 1
Step-by-step explanation:
Given
Expression: 10x² + 5x
Factor: 5x
Required
Width of the Area Model
To solve this, I'll assume the area model is Length * Width
Provided that we're to solve for the width of the model.
This implies that; Length = 5x
Area = Length * Width
And
Area = 10x² + 5x
Equate these two
Length * Width = 10x² + 5x
Factorize express on the right hand side
Length * Width = 5x(2x + 1)
Substitute 5x for Length
5x * Width = 5x(2x + 1)
Divide both sides by 5x
Width = 2x + 1
Hence, the width of the area model is 2x + 1
Answer:
Step-by-step explanation:
x² - 38x + 72 = (x-2)(x-36)
Answer:
65
Step-by-step explanation:
Im to lazy to do the math
I'm a little confused by this. 1/2 is too big, but 1 1/2 is too small?
Ok so lets say we have a system of equations:
y = x + 1
x + y = 5
All you would do is plug in what is equal to the variable so:
x + x + 1 = 5
Then you would just simplify and solve
2x + 1 = 5
-1 -1
_________
2x = 4
-- --
2 2
x=2
