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Varvara68 [4.7K]
1 year ago
13

Question down below about linear equations and grapghing.

Mathematics
1 answer:
Alik [6]1 year ago
6 0

The system of equations is -x + y = 4 and -2x + y = 0

<h3>How to create the system of linear equations?</h3>

To do this, we make use of the following ordered pairs

(4, 8)

The above point represents April 2008.

Let the system of equations be

mx + ny = 4

2mx + ny = 0

Substitute (4, 8) for x and y in the above equations.

4m + 8n = 4

8m + 8n = 0

Subtract both equations

4m - 8m = 4

This gives

-4m = 4

Divide by 4

m = -1

Substitute m = -1 in 8m + 8n = 0

-8 + 8n = 0

This gives

8n = 8

Divide by 8

n = 1

So, the system of equations is -x + y = 4 and -2x + y = 0

<h3>The graph of the system of equations</h3>

The system of equations is -x + y = 4 and -2x + y = 0

See attachment for the graph of the system of equation

<h3>Prove that the solution is (4, 8)</h3>

The above is represented in the (a) part of this solution

Verify that the solution is (4, 8)

We have:

-x + y = 4 and -2x + y = 0

Substitute (4, 8) for x and y in the above equations.

-4 + 8 = 4 --- true

-2*4 + 8 = 0 --- true

Both equations are true

Hence, the system of equations have been verified

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

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Use a protractor to draw a quadrilateral so that three of its four sides measure 5 centimeters each. The angles between these si
Anna11 [10]

The length of the third side of the quadrilateral is 7.5 cm.

<h3>Quadrilateral</h3>

A quadrilateral is a polygon that has four sides and four angles. The sum of interior angles in a quadrilateral is 360°. Types of quadrilateral are square, rectangle, rhombus, kite and so on.

Let x represent the length of the third side, hence:

x = 5 + (5 * sin(20)) + (5 * sin(10)) = 7.5 cm

The length of the third side of the quadrilateral is 7.5 cm.

Find out more on Quadrilateral at: brainly.com/question/16691874

8 0
2 years ago
Expand.<br> If necessary, combine like terms.<br> (3 + 4x) (3 - 4x)
shepuryov [24]
  • (3 + 4x) (3 - 4x)

We know the algebraic identity: (a - b)(a + b) = a^2 + b^2. Therefore, we should square 3 and 4x.

  • = (3)^2 - (4x)^2
  • 9 - 16x^2

<u>Answer</u><u>:</u>

<u>9</u><u> </u><u>-</u><u> </u><u>1</u><u>6</u><u>x</u><u>^</u><u>2</u>

Hope you could understand.

If you have any query, feel free to ask

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A roller coaster has 10 cars. Seven of the cars are green. Write two equivalent fractions for the part of the cars the green.
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7/10 and 14/20 are the equivalent fractions that would solve this equation
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3 years ago
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One should continue to monitor his or her goals and adjust his or her plan for achieving them when it is necessary A:true B:fals
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Please I need help. you will get points ​
iragen [17]

Answer:

t(32) = 94

Step-by-step explanation:

a. I think s is the independent variable

b I think t or t(s) is the dependent variable since the total amount of money depends on how many treats are sold.

t(32) = 30 + 2(32)

t(32) = 30 + 64

t(32) = 94

I'm a little unsure on the dependent and independent variable but I know the function is correct.

Hope this helps :)

7 0
3 years ago
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