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:
GH = 49
GJ = 35
HJ = 35
Step-by-step explanation:
:::::
One of the 16 is the error
Answer:
Bailey family's sprinkler was used for 35 hours and Harris family's sprinkler was used for 20 hours.
Step-by-step explanation:
Set up a system of equations.
Let be "b" the time Bailey family's sprinkler was used and "h" the time Harris family's sprinkler was used.
Then:
You can use the Elimination method. Multiply the first equation by -15, then add both equations and solve for "h":
Substitute into an original equation and solve for "b":
X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x