Answer:
Step-by-step explanation:
To find y=mx+b we need to identify two points. I picked (20,45) and (50,65)
From these two points we can find the slope, m.
m=(y2-y1)/(x2-x1)
m=(65-45)/(50-20)
m=20/30=2/3 so now our line is
y=2x/3+b, we can solve for b using either point, I’ll use (20,45)
45=2(20)/3+b
45=40/3+b
b=45-40/3
b=(135-40)/3
b=95/3 so the line is
y=(2x+95)/3
First, put the equation of the line giveninto slope-intercept form by solving fory. You get y = 2x +5, so the slope is –2.Perpendicular lines have opposite-reciprocal slopes, so the slope of theline we want to find is 1/2. answer y=-1/2
Answer: y= -3/8
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.
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
