Answer:
Result:
Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
Answer:
3x(3x + 2)
Step-by-step explanation:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
I hope it is right.
Answer: It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .
Step-by-step explanation:
Given : Time taken by Kevin to clean a stadium = 5 hours
Rate of work done by Kelvin =
Time taken by Chris to clean a stadium = 3 hours
Rate of work done by Chris =
Let t be the time taken by both of them to clean the stadium together.
According to the question , we have
Rate of work done together = Rate of work done by Kelvin+Rate of work done by Chris
hours
[∵ 1 hour = 60 minutes]
Hence, It will about 1.88 hours or 1 hour 52.5 minutes to clean the stadium if they work together .
Answer:
we conclude that the total number of perfect odd squares between 5 and 211 will be: 6
Step-by-step explanation:
Let us check by taking squares
As taking 14² = 256 would exceed 211, and 1² = 1 is smaller than 5.
Therefore, we conclude that the total number of perfect odd squares between 5 and 211 will be: 6
