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Serga [27]
3 years ago
6

If the point (5, k) lies on the line represented by the equation 2x + y = 9, the value of k is

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0

Answer:

<h2>k = -1</h2>

Step-by-step explanation:

We have the point (5, k) and the equation 2x + y = 9.

Put the coordinates of the point ot the equation:

x = 5, y = k

2(5) + k = 9

10 + k = 9         <em>subtract 10 from both sides</em>

10 - 10 + k = 9 - 10

k = -1

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Mr. Gonzalez built two identical flower beds in his yard with the dimensions shown. A prism has a length of 6 feet, height of 2
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Answer:

For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.

Step-by-step explanation:

The prisms are 2 identical flower beds . The dimensions are the same which have a length of 6 ft , height of 2 ft and width of 5 ft. He wants to paints the side of the beds which is the lateral area of the prisms.

Lateral surface area of a rectangular prism is adding the area of the lateral faces of the prism.

Lateral surface area = PH

P = perimeter of the side

H = height

perimeter = (2L + 2W)

where

L = length

W = width

L = 6 ft

W = 5 ft

perimeter = (2L + 2W)

perimeter = (2 × 6 + 2 × 5)

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perimeter = 22 ft

Lateral area = 22 × 2

Lateral area = 44 ft²

For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.

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Max has 5 apples he gives away 2 How many apples does he have left
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If y varies directly as x, and y = 25 when x = 5, find y when x = 25.
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