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FromTheMoon [43]
2 years ago
6

Please help I don’t know what to do with the fraction. The equation is determine if the given point is a solution to the system.

Mathematics
1 answer:
Alex2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

To determine if (3, 1 ) is a solution to the system

Substitute x = 3 into both equations and evaluate. If the result is y = 1 for both then the point is a solution.

y = \frac{4}{3} × 3 - 3 = 4 - 3 = 1

y = - 2(3) + 7 = - 6 + 7 = 1

Since both equations equal 1 then

(3, 1 ) is a solution to the system

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Solve the equation by completing the square x^2-3x-18=0
Alexandra [31]

Answer:

x = -3, 6

Step-by-step explanation:

First, add 18 to both sides

x² - 3x - 18 = 0

           + 18    + 18

x² - 3x = 18

Add 9/4 to both sides because that is the square of half of -3

x² - 3x + 9/4 = 18 + 9/4

Multiply both sides by 4 to get rid of the fractions

(x² - 3x + 9/4 = 18 + 9/4)4

4x² - 12x + 9 = 72 + 9 = 81

Factor the left side of the equation

(2x - 3)² = 81

√(2x - 3)² = √81

Because of the square root, this will result in a positive number and a negative number

2x - 3 = 9

2x - 3 = -9

For both equations, add 3 to both sides then divide by 2

2x - 3 = 9

     + 3   +3

2x = 12

2x/2 = 12/2

x = 6

2x - 3 = -9

    + 3   + 3

2x = -6

x = -3

4 0
2 years ago
Choose the correct graph of the following condition. {(x, y) : x - y6}
Romashka [77]

The correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

<h3>What is a graph?</h3>

A graph is a diagram showing the relation between variable quantities each measured along one of a pair of axes at right angles.

In this case, the correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

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2 years ago
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masha68 [24]
Hello! And thank you for your question!

To find if 3 measurements make a triangle:

Measurements 1 and 3 must be less than 2.

As we can see.. Only A fits. 6 cm and 9 cm is less than 10 cm.

Final Answer:

A. 6 cm, 10 cm, 9 cm
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Ivahew [28]

Answer:

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