Does anyone know the answer to this ?? HELP PLS ! No links ! Only answer if you know !!
1 answer:
Answer is 16 ft x 26 ft carpet
Step by step
First we know the room is 24 x 34
We know the carpet area is 416 sq ft
We know there will be an equal strip of floor not covered by carpet
Since the area of carpet is 416 sq ft, and area is L x W, I found the factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416.
16 x 26 = 416
The room dimensions are 24 x 34
24’ room - 16’ carpet = 8’
34’ room - 26’ carpet = 8’
So there will be an 8 ft strip around the edge of the room
with carpet measurements of 16’ x 26’
Problem solved!
Step by step
First we know the room is 24 x 34
We know the carpet area is 416 sq ft
We know there will be an equal strip of floor not covered by carpet
Since the area of carpet is 416 sq ft, and area is L x W, I found the factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416.
16 x 26 = 416
The room dimensions are 24 x 34
24’ room - 16’ carpet = 8’
34’ room - 26’ carpet = 8’
So there will be an 8 ft strip around the edge of the room
with carpet measurements of 16’ x 26’
Problem solved!
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now, take the derivatives we get;
As, we know that two vectors are orthogonal if their dot product is zero.
Here, are orthogonal i.e,
Therefore, we have ,
take t common in above equation we get,
⇒ or
To find the solution for t;
take
The number determined from the coefficients of the equation
The determinant
Since, for any positive value of a determinant is negative.
Therefore, there is no solution.
The only solution, we have t=0.
Hence, we have only one points on the parabola i.e <1,0>