let x be the number
2(x+5)= ±3(x-3)
2x+10= 3x-9 or 2x+10= -3x+9
x=19 or x=0.2
Answer:
6.75
Step-by-step explanation:
Find the relationship between the trapezoids. You can see that the top of trapezoid ABFE is 3 units and the top of EFCD is 4.5 units. 3 * 1.5 = 4.5, so t the sides of trapezoid EFCD are 1.5 times more than the sides of ABFE.
Now, you know the bottom of ABFE is 4.5, so the bottom of EFCD is 1.5 times longer because they are proportional, so you can do 4.5 * 1.5 = 6.75 units.
Answer:
No
Explanation:
The independent irrelevant alternative criterion is not violated here. The law of irrelevant alternative criterion holds that if candidate A is liked more than candidate B then a new candidate C who is liked less than candidate A should not spoil the victory of Candidate A, so that candidate B wins.
In the example in the question, candidate Parker was the preferred candidate before the elimination of candidate Myers and so will still be the winner of the election, therefore the irrelevant alternative criterion has not been violated.
The answer is 74. 518 has 8 in it and 74 has 4 in it. 4 goes in 8 so you know that they can go together.
Answer: The length is 6 feet and the width is 10 feet.
Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.
We can now write an equation for the area of the rectangle as follows;
Area = L x W
60 = (W - 4) x W
60 = W^2 - 4W
If we rearrange all terms on one side of the equation, we now have
W^2 - 4W - 60 = 0
This is a quadratic equation and by factorizing, we now have
(W + 6) (W - 10) = 0
Hence,
Either W + 6 = 0 and then W = -6
Or W - 10 = 0 and then W = 10
We know that the side of the rectangle cannot be a negative value, so we go with W = 10.
Having calculated W as 10, the length now becomes
L = W - 4
L = 10 - 4
L = 6
Therefore, length = 6 feet and width = 10 feet
