The third choice, 4x²+18x+0.25=0, is correct.
The frame will have the same thickness on both sides of the mirror. Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width.
The area is found by multiplying the total width and total length:
A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)
Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²
We know that the area is 19.75:
19.75=20+18x+4x²
We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²
In standard form, it will be:
4x²+18x+0.25=0
To find the width, divide the area by the length.
Width = 9/10 / 2/5
When dividing fractions flip the second one over and multiply:
Width = 9/10 x 5/2 = (9 x5) / (10 x 2) = 45/20 = 2 and 1/4 miles.
Answer:
The simplified polynomial is x^3 y^2 -x^2 y^3 +xy
The value is -186
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I dont think this needs explained