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kkurt [141]
3 years ago
11

What is the solution of the system of equations? {13x−6y=2,3x−4y=−10)

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0
I would recommend multiplying the first equation by -2 and the second equation by 3 so that you can get + and -12 for the y terms to cancel.
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I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ
Dmitrij [34]

Answer:

V = \frac{450L - 6 L^{3} }{10}

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

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V = L^{2} H

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

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Roof: L×L = L^{2}

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Roof: 2L^{2}

Side: 2.50 * 4HL = 10 HL

Total cost:

4L^{2} + 2L^{2} + 10 HL = 450

We simplify this equation further:

6L^2 + 10<em>HL </em>= 450

10HL = 450 - 6L^2

H = \frac{450- 6 L^2}{10L}  

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting H = \frac{450-6L}{10L}  in  V = L^{2} H :

V = L^2 × \frac{450 - 6L }{10L}

Simplifying it further:

V = L × \frac{450 - 6L}{10}

V= \frac{450L - 6L^3}{10} is the final answer.

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