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jarptica [38.1K]
3 years ago
14

The equations : -3x+4y=-30− and 9x + 5 y = 39 intersect at the coordinate (h, k). What is the value of h?

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:

h = 6

Step-by-step explanation:

Given the 2 equations

- 3x + 4y = - 30 → (1)

9x + 5y = 39 → (2)

We require the value of the x- coordinate at the point of intersection, thus require to eliminate the y- term from the equations

Multiply (1) by 5 and (2) by - 4

- 15x + 20y = - 150 → (3)

- 36x - 20y = - 156 → (4)

Add (3) and (4) term by term thus eliminating y

- 51x = - 306 ( divide both sides by - 51 )

x = h = 6

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Answer:

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Step-by-step explanation:

Since the 3 ft edge is on both sides of the pool, each dimension of the pool is 6 ft shorter than the corresponding dimension of the space. The pool will be 15 ft -6 ft = 9 ft in one direction and 20 ft -6 ft = 14 ft in the other direction.

The perimeter of the pool is the sum of its side lengths:

  P = 9 ft + 14 ft + 9 ft + 14 ft = 2(9 ft +14 ft) = 2(23 ft)

  P = 46 ft

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The area of the pool is the product of its length and width:

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Step-by-step explanation:

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Answer:

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