ANSWER
The constant of variation is 6.
EXPLANATION
The inverse variation equation is:
We want to find the constant of variation, when x=-3 and y=-2.
We substitute the values for x and y to get,
Multiply out the left hand keeping in mind that negative times negative yields a positive result.
This implies that;
Hence the constant of variation is 6.
Answer:
x = 3 and 7
There are two true solutions.
Step-by-step explanation:
To solve , use inverse operations by squaring both sides of the equal sign.
The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.
(x - 3) ( x - 7) = 0
x-3 = 0 so x=3
x-7 = 0 so x=7
Now check each solution into the original equation to be sure it solve the solution and is not extraneous.
and
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The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
<h3>Properties of a Parallelogram</h3>Therefore:
ON = LM
Substitute
7x - 5 = 6x + 4
Add like terms
7x - 6x = 5 + 4
x = 9
OL = NM
Substitute
8y + 3 = x + 6
Plug in the value of x
8y + 3 = 9 + 6
8y + 3 = 15
8y = 15 - 3
8y = 12
y = 12/8
y = 1.5
Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
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