Answer:
Step-by-step explanation:
Let the number be 'x'
Reciprocal =
Cross multiply
(x² + 1) *2 = 5*x
2x² + 2 = 5x
2x² - 5x + 2 =0
Factorize the equation,
Sum = -5
Product = 4
Factors = -1 , -4
2x² - x - 4x + 2 = 0
x(2x - 1) - 2(2x - 1) = 0
(2x -1 )(x - 2) = 0
2x - 1 = 0 ; x -2 = 0
2x =1 ; x = 2
x = 1/2
Number = 2 , and its reciprocal = 1/2
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
Scale Drawing Lengths: . . / .
Actual Court Lengths . . .
Scale Factor: inch corresponds to ( ∙ ) inches, or inches, so the scale factor is .
Let = , represent the scale drawing lengths in inches, and represent the actual court lengths in inches. The -values must be converted from feet to inches.
To find actual length:
= =
() = inches, or feet
To find actual width:
= = ( )
= / ∙ /
= inches, or feet
The actual court measures feet by feet. Yes, the lot is big enough for the court Vincent planned. The court will take up the entire width of the lot.
