<h3>
Answer: D. (2, 21)</h3>
Explanation:
Imagine that your teacher wanted you to find the midpoint of -3 and 7 on the number line. To do this, you would add up the given values and divide by 2.
(-3+7)/2 = 4/2 = 2
The value 2 is right in the middle of -3 and 7 on the number line. This result is also the x coordinate of the midpoint since the values I used were the x coordinates of the original points.
The y coordinates are handled the same way:
(18+24)/2 = 42/2 = 21
The y coordinate of the midpoint is y = 21
Overall, the midpoint is (2, 21)
Cancel something
we cancel x's
multiply 1st equation by 5 and 2nd by 7 and add them
-35x-30y=-5
<u>35x-28y=7 +</u>
0x-58y=2
-58y=2
divide both sides by -58
y=-1/29
sub back
5x-4(-1/29)=1
5x+4/29=1
minus 4/29 from both sides
note, 1=29/29
5x=25/29
divide bot sides by 5 (or times 1/5)
x=5/29
(5/29,-1/29)
Answer:
2/7(x-2)=4x
(2×x-2×2)/7 = 4x
(2x-4)/7 = 4x
2x-4×(1) = 4x × 7 ( Cross multiply)
2x-4 = 28
2x = 32
2x÷2 = 32÷2
x=16
Used to quantify the rate of energy transfer
