Answer:
(9, -3)
Step-by-step explanation:
The coordinates of the midpoint are the averages of the coordinates of the endpoints.
For the x coordinates:
3 = (-3 + x) / 2
x = 9
For the y coordinates:
3 = (9 + y) / 2
y = -3
The other endpoint is at (9, -3)
<em><u>Complete Question:</u></em>
You can model the population of a certain city between 1955-2000 by the radical function
P(x) = 55,000 sqrt x-1945
Using this model, in which year was the population of that city 275,000?
<em><u>Answer:</u></em>
In 1970 population of that city is 275,000
<em><u>Solution:</u></em>
Given that,
<em><u>You can model the population of a certain city between 1955-2000 by the radical function
:</u></em>
To find: year in which was the population of that city 275,000
Therefore,
x = ?
P(x) = 275000
Thus we get,
Thus, in 1970 population of that city is 275,000
Answer:
C) 180 degree rotation
Step-by-step explanation:
I hope this helps you :)
Answer:
A + B = 24
16A + 20B = 434
Step-by-step explanation:
To write a system of equations for this scenario, let's say that A represents the number of hours machine A ran, and B represents the number of hours machine B ran.
The first equation will be:
A + B = 24
because the total number of hours ran is 24.
The second equation will be:
16A + 20B = 434
because the total number of items made is 434.
A + B = 24
16A + 20B = 434
First solve for one variable, and let's just do A.
Using the first equation, A + B = 24, A is equal to 24 - B.
Substitute this value to the second equation.
16 (24 - B) + 20B = 434
384 - 16B + 20B = 434
4B = 50
B = 12.5
Now use this value of B to find the value of A.
A + 12.5 = 24
A = 11.5
Machine A ran for 11.5 hours, and Machine B ran for 12 hours.
Answer:
14
Step-by-step explanation:
If there is a variable with a coefficient, that will always be non-constant.
If there is a number with no variable, it is always constant.
