By graphing the given points, you will see that a rectangle can be made from the points. Points A and B lie on the same line horizontally as well as points C and D. To determine the distance between points, we use the distance formula expressed as:
d = √((y2-y1)^2 + (x2-x1)^2)
For points A and B, the term (y2-y1)^2 is equal to zero since they lie on the x-axis. The formula would become
d = √(x2-x1)^2
d = x2-x1 = a - 0 = a
Therefore, the distance would be equal to the value of a.
Answer:
Maybe if you look the name of your worksheet and the answers to it, you can find the answers. That has helped me before...
Step-by-step explanation:
In both problems, the sum of side lengths is the perimeter. Opposite sides of a parallelogram (or rectangle) are equal in length, so you can find the perimeter by doubling the sum of adjacent sides.
25. 2(x +(x +15)) = (x +45) +(x +40) +(x +25)
.. 4x +30 = 3x +110 . . . . . . . . . . . . . . . . . . . . . . simplify
.. x = 80 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . subtract 3x+30
.. 4x +30 = 4*80 +30 = 240
The perimeter of each is 240 units.
26. 2(x +(x +2)) = (x) +(x +6) +(x +4)
.. 4x +4 = 3x +10 . . . . . . . . . . . . . . . . . . . . . . simplify
.. x = 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . subtract 3x+4
.. 4x +4 = 4*6 +4 = 28
The perimeter of each is 28 units.
Use PEMDAS for this problem.
1 x 1000= + 1000
3 x 10,000= 30,000
---------------------------
+ 31000
9000
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+ 40000
800
--------------------------
+ 40800
50
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+ 40850
2
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Answer: 40,852
Hoped this helped.
~Bob Ross ®