Answer:
Step-by-step explanation:
3x - 2(x + 3) = 4x - 9 - x
Start by multiplying 2 by the values in the parenthesis
3x - 2x + 6 = 4x - 9 - x
Subtract 3x - 2x and 4x - x
x + 5 = 3x - 9
Add 9 to both sides of the equation
x + 14 = 3x
Subtract x from both sides of the equation
14 = 2x
Divide both sides of the equation by 2
Hope this helps :)
Dilation is scale factor, like a dilation scale factor of 2
Answer:
lines a and b are parallel. The slopes are -1/3
None of the lines are perpendicular to each other.
Step-by-step explanation:
To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:
line a: This line goes down one every time it goes over 3, which can be represented by -1/3
line b: This lines goes down one every time it goes over 3, which can also be written as -1/3
line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2
When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.
When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.
Hope this helps :)
Answer:
405 Problems
Step-by-step explanation:
- One student in class has 15 problems.
- There are 27 students in the class.
Let's <u>multiply</u> 15 by 27.
<em>In all, there would be 405 problems assigned to the whole class.</em>
Answer:
Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is
13x - 4y = 84.
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 4 ,-8)
point B( x₂ , y₂) ≡ (8 , 5)
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula
Substituting the given values in a above equation we get
Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is
13x - 4y = 84.
