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Crank
3 years ago
5

12. What is the solution of the system of equations?

Mathematics
2 answers:
Nina [5.8K]3 years ago
6 0

Answer:

no solution

Step-by-step explanation:

Hi there!

We are given this system of equations:

y=-2x+5

y=-2x+20

and we want to find the solution (the point in which the lines intersect)

There are 3 ways to solve a system, but let's use substitution in this case

Both equations are set to y, so they should be equal to each other via a property known as transitivity (if a=b and b=c, then a=c)

-2x+5=-2x+20 (the same as y=y)

Now let's solve for x

add 2x to both sides

5=20

In this case, we got an untrue statement. If this happens, then the lines won't intersect.

If they won't intersect, there's <u>no solution </u>

Hope this helps!

max2010maxim [7]3 years ago
6 0

Answer:

no solutions

Step-by-step explanation:

y = - 2x + 5

y = -2x + 20

Set the two equations equal

- 2x + 5  = -2x + 20

Add 2x to each side

- 2x+2x + 5  = -2x+2x + 20

5 = 20

This is never true so there are no solutions

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An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length 1/4
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Answer:

The answer is below

Step-by-step explanation:

The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.

Firstly we have to convert the model length and width from inches to feet.

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model length =  1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.

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Therefore:

Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8

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Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²

Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64

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The answer would be B
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