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Svetradugi [14.3K]
3 years ago
12

Graham graphs the following system of equations to determine its solution.

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

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Answer:

C) 12.5

 The length of BC = 12.5cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that  ΔABC</em>

<em>Given that  AB =  15cm and ∠A =  40°</em>

<em>we will use trigonometric function</em>

<em>                      </em>tan x = \frac{oppositeside}{adjacentside}<em></em>

<em>                    </em>tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}<em></em>

<u><em>Step(ii):-</em></u>

we know that tan40° = 0.83909

                 tan 40^{0}  = \frac{BC}{15}

                BC =  15 × tan 40°

                BC = 12.58649

                BC = 12.5cm

<u><em>Final answer:-</em></u>

 The length of BC = 12.5cm

<em></em>

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A circle is defined as the set of equidistant points to a given point which is the center of the circle.

That distance to the center is called the radius.

Here, the center is at the point (0, 0), also called the origin, so if the distance between the point A and the origin, then point A lies on top of the circle P.

From that, we conclude that the correct option is:

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That is the only proof that we can (and should) use to prove that a point lies on a circle.

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If you want to learn more about circles:

<em>brainly.com/question/1559324</em>

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