182 Let x = width then y = 6x - 91. P (perimeter) = 2x + 2y = 84 then
2(x) + 2(6x - 91) = 84 | 2x + 12x - 182 =84 | 14x = 84 + 182 | 14x = 266 | x = 19 cm
y = 6x - 91 | y = 6 (19) - 91 | y = 114 - 91 | y = 23 cm
Check: P = 2x + 2y | P = 2(19) + 2(23) | P = 38 + 46 | P = 84 cm (Checked)
I think associative property of addition
Answer: No
Step-by-step explanation:
Is 1/4 (8y -12) equivalent to 2y - 12? No. 1/4 (8y-12) equals out to 2y-3 not 2y-12. To solve the system of equations below, grace isolated the variable y in the first equation and then substituted into the second equation. what was the resulting equation? 3y=12x x^2/4+y^2/9=1
Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....

Subtract sides -3x


Divided sides by -4


This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :

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We have following equation to find the point-slope form of the linear functions.

Now just need to put the slope and the given point in the above equation.

Multiply sides by 4


Plus sides 24


Subtract sides -3x


And we're done....♥️♥️♥️♥️♥️
Answer: The answers are 13. (A) and 14. (B).
Step-by-step explanation: The calculations are as follows:
(13) The given equations are

In the attached figure (a), these two lines are drawn. We can see that The lines intersect at the point P(8, -9). So, the solution to the pair of equations is (8, -9).
Thus, the correct option is (A).
(14) The given equations are

In the attached figure (b), these two lines are drawn. We can see that The lines intersect at the point Q(7, -2). So, the solution to the pair of equations is (7, -2).
Thus, the correct option is (B).