Answer:
Step-by-step explanation:
The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...
(A+C)/2 = (B+D)/2
D = A + C - B
D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)
D = (8, -8)
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The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.
_____
<em>Comment on side lengths</em>
When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.
Answer:
50 inches.
Step-by-step explanation:
Let the length of the each ribbon was x.
Now, she cuts 9 pieces of same length L which means total length is 9L.
Now, doing the same she was left with 5 inches of ribbon. Hence, we have
[tex[9L+5=x.....(1)[/tex]
Similarly, we can write a equation for the second situation.

From equation 1 and 2,

Plugging this value in equation 1,

Therefore, the length of each ribbon when she bought them was 50 inches.
9514 1404 393
Answer:
17,500
Step-by-step explanation:
The problem can be written as a proportion:
hits/revenue = 1000/(£2) = x/(£35)
Multiplying by £35 gives ...
x = 1000(35/2) = 35000/2 = 17,500
17500 hits are required for revenue of £35.
Answer:
x=6 y=-9
Step-by-step explanation:
- Layer the equations on each other as you would in a subtraction problem:
8x + 2y=30
7x + 2y=24
- Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
- Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:
42+2y=24 then
2y=-18 then
y=-9
- Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.
Answer: Options 'C' and 'E' are correct.
Step-by-step explanation:
Since we have given that
Quantity of snowfall in February at Delphine's house be f centimeters
Quantity of snowfall in March at Delphine's house be 40% more than in February.
According to question,

So, Options 'C' and 'E' are correct.
i.e. C) 1.4f
E) 