Answer:
7 years
Step-by-step explanation:
Let x be number of years the populations be equal
City A's population of 1115000 is decreasing at a rate of 15000 per year.
The population is decreasing at a constant rate so we use equation
y= mx + b
where m is the slope(rate), b is the initial population
m= -15000 (decreasing) , b= 1115000
y= -15000 x + 1115000
City B's population of 698000 is increasing at a rate of 45000 per year.
m= 45000 (increasing) , b= 698000
y= 45000 x + 698000
Now we set the equations equal and solve for x
45000 x + 698000 = -15000 x + 1115000
Add 15000 on both sides
60000 x + 698000 = 1115000
Subtract 689000 on both sides
60000 x = 417000
Divide by 60000 on both sides
x= 6.95
So after 7 years the population will be equal.
- Midpoint formula is .
<h3>19.</h3>
So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: From here we can solve for the x-coordinate of Q.
Firstly, multiply both sides by 2:
Next, subtract both sides by 2 and your x-coordinate is
With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.
<u>Putting it together, the missing endpoint is (8,4).</u>
<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>
<h3>20.</h3>
<u>The missing endpoint is (7,2).</u>
<h3>21.</h3>
<u>The missing endpoint is (-5,1).</u>
Answer:
1. The slope of the graph is 3/1 or 3
2. The slope of the graph is 3/4
3. The slope of the points is 2
4. The slope of the points is Undefined
5. The slope of the graph is 1
6. The slope of the points is -1/4
Step-by-step explanation:
To find the slope of the graph you use rise over run
To find the slope of the points you use y2-y1 over x2-x1
Hope this is very helpful!!
Answer:
The answer would be 0.625