Kim has a lawn service business. The equation 165 – 105x + 3y = 0 relates y, her weekly profits , and 2, the number of lawns she
tends in a week. Kim incorrectly thinks that the slope of the line represented by the equation is –105.
Choose one option from each dropdown menu to answer the question.
1. Coefficient of x
2. Coefficient of y
3. Constant Term
1. Divide -105 by 3
2. divide 165 by 3
3. Write the equation in slope intercept form
1.-55
2.-35
3. 35
4. 55
Choose one option from each dropdown menu to answer the question.
1. Coefficient of x
2. Coefficient of y
3. Constant Term
1. Divide -105 by 3
2. divide 165 by 3
3. Write the equation in slope intercept form
1.-55
2.-35
3. 35
4. 55
1 answer:
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The dimensions of the rectangle can be a length of 2ft and a width of 4ft.
<h3>How to find the dimensions of the garden?</h3>
Remember that for a rectangle of length L and width W, the perimeter is:
P = 2*(L + W)
And the area is:
A = L*W
In this case, we know that the area is 8 square feet and the perimeter is 12 ft, then we have a system of equations:
12ft = 2*(L + W)
8ft² = L*W
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate L on the first one:
12ft/2 = L + W
6ft - W = L
Now we can replace that in the other equation to get:
8ft² = (6ft - W)*W
This is a quadratic equation:
-W^2 + 6ft*W - 8ft² = 0
The solutions are given by Bhaskara's formula:
Then we have two solutions:
W = (-6 - 2)/-2 = 4ft
W = (-6 + 2)/-2 = 2ft
If we take any of these solutions, the length will be equal to the other solution.
So the dimensions of the rectangle can be a length of 2ft and a width of 4ft.
if you want to learn more about rectangles:
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