The unit rate is also known as the constant of proportionality, but not as a proportion.
So you will need to solve for x and y before evaluating 2x+y....
2x-y=9, y=2x-9 now this will make 4x^2-y^2=171 become:
4x^2-(2x-9)^2=171
4x^2-(4x^2-36x+81)=171
36x-81=171
36x=252
x=7, now we can use 2x-y=9 to solve for y...
2(7)-y=9
14-y=9
-y=-5
y=5
now we know that x=7 and y=5, 2x+y becomes:
2(7)+5
14+5
19
Answer:
-9
Step-by-step explanation:
6 | 1 1 -40 -4
. | 6 42 12
- - - - - - - - - - - - - -
. | 1 7 2 8
6 | 3 -9 -56 8
. | 18 54 -12
- - - - - - - - - - - - - - -
. | 3 9 -2 -4
Width of the rectangle is 1 unit
Step-by-step explanation:
- Step 1: Let the length of the rectangle be x. Then the width = x - 5. Find dimensions of the rectangle if its area = 6 sq. units
Area of the rectangle = length × width
6 = x (x - 5)
6 = x² - 5x
x² - 5x - 6 = 0
x² - 6x + x - 6 = 0 (Using Product Sum rule to factorize)
x(x - 6) + 1(x - 6) = 0
(x - 6)(x + 1) = 0
x = -1, 6 (negative value is neglected)
x = 6 units
x - 5 = 1 unit