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Goryan [66]
2 years ago
13

How many solutions does the system of equations below have? y= 3x + 4 2y -8 = 6x

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
3 0

Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

-------------------------------

2y = 6x + 8

\frac{2y}{2} = \frac{6x}{2} + \frac{8}{2}

-------------------------------

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

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Step-by-step explanation:

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Complete the proof, word bank at bottom
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Answer:

Step-by-step explanation:

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2 years ago
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me
mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

x+y=180^o ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

x=2y ----> equation B

substitute equation B in equation A

2y+y=180

y=60^o

so

x=120^o

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

b=12/2=6\ units

The perimeter of the hexagon is given by the formula

P=6b

substitute

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3 0
3 years ago
What is this question in simplified form
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Step-by-step explanation:

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6 0
1 year ago
This lesson discusses _____ related to the circle.
galina1969 [7]

Answer:

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Step-by-step explanation:

Theorems is the right answer.

A circle is a geometric figure where all points on the circle keep equal distances from a point called the centre.

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The important of these are called theorems related to circles.

Some of the theorems are

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ii) Opposite angles are supplementary for a cyclic quadrilateral, etc

Hence theorems would be the appropriate word for filling up the answer

7 0
2 years ago
Read 2 more answers
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