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kozerog [31]
3 years ago
10

Which situation could this diagram represent

Mathematics
1 answer:
Alex3 years ago
7 0
Tossing two counts twice
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In order to solve the following system of equations by addition, which of the
Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given <u>system of equations</u>:

\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}

To solve the given system of equations by addition, make one of the variables in both equations <u>sum to zero</u>.  To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.

<u>To eliminate the </u><u>variable y</u>:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

\implies -3(4x-2y=7) \implies -12x+6y=-21

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

\implies 2(3x-3y=15) \implies 6x-6y=30

Add the two equations together to <u>eliminate y</u>:

\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}

<u>Solve</u> for x:

\implies -6x=9

\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}

<u>Substitute</u> the found value of x into one of the equations and <u>solve for y</u>:

\implies 3\left(-\dfrac{3}{2}\right)-3y=15

\implies -\dfrac{9}{2}-3y=15

\implies -3y=\dfrac{39}{2}

\implies y=-\dfrac{39}{2 \cdot 3}

\implies y=-\dfrac{13}{2}

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27520807

3 0
1 year ago
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How long is a 75% of a 24 hour day
ivolga24 [154]

Answer:

18 hours

Step-by-step explanation:

because 6 x 3 = 18!

5 0
2 years ago
Is this polygon regular or irregular?
iris [78.8K]

Answer:

<h2><em><u>Make</u></em><em><u> me</u></em><em><u> a</u></em><em><u> Brainlist</u></em><em><u> pls</u></em></h2>

Step-by-step explanation:

It's an Irregular polygon

4 0
3 years ago
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How many solutions does the equation have?
Andreyy89

Answer:

Since it is a linear equation, it has one solution.

step-by-step explanation:

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3 years ago
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Solve the system of equations.
MAXImum [283]

Answer:

D. (-2, -6) and (5,15)

Step-by-step explanation:

When you set the equations together, you get x^2-3x-10. You then set this equation equal to zero and get (x-5)(x+2) or x=-2 and x=5. Then, plug these x-values into each equation to get your y-values.

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