Simplify the expression 5 + 2 ×[(2+2)×5+5]
1 answer:
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Answer:
- (8, -8)
- 100 square units
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.
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<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:
you both will reach the home at the same time.
I) You can catch your sister.
ii) Reason: you both will reach home at the same time.
Step-by-step explanation:
Let "d" be distance from school to home.
Let's find the speed of you and your sister.
Speed =
Your speed =
Your sister's speed =
Today, You stayed for some extra help by the time your sister covered of the way home.
Remaining distance to reach the home =
=
Now let's find the time to be taken your sister to reach the home.
Time =
=
So, your sister will take 20 minutes to get home by the time your start.
We know that it takes you 20 minutes to reach your home.
Therefore, you both will reach the home at the same time.
I) You can catch your sister.
ii) Reason: you both will reach home at the same time.