Answer:
m=-2 and b=3
Step-by-step explanation:
One way to find slope is to use rise over run (most useful when there is a graph). First find any two points along the line where it intersects with a point on the grid. (1,1); (2,-1) and (3,-3) are some examples. Then count how many spaces vertically and then horizontally it takes to get to the next point. In this case it is two spaces down (rise) and 1 space right (run). So rise/run = 2/1 =2. That is your slope. Because it is pointing downwards or decreasing we know it is a negative slope.
The y-intercept is just where the line intercepts with the y-axis. In other words, when x=0 what does y equal? Here it is 3.
Since 42% of the voters voted and 12000 people voted, we can conclude that:
12,000=42% of the population.
I set this up like this:
12,000=0.42 x, substituting x for the total population.
Divide both sides by 0.42 to get x by itself.
x= 28571.43.
Your final answer is 28,572 people, because you can't have 0.43 of a person.
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
Answer:
x = 8
Step-by-step explanation
Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.
7x + 17 + 3x - 7 = 90 Combine like terms
10x + 10 = 90 Subtract 10 on both sides
10x = 80 Divide both sides by 10
x = 8
Answer:
i
Step-by-step explanation:
is the same thing as i, which is an imaginary number.
Since you can't take the square root of negative numbers, we use i to do it.
