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zavuch27 [327]
2 years ago
11

PLEASEEEE HELP QUICKKKK

Mathematics
1 answer:
katrin2010 [14]2 years ago
6 0

Given:

Line A goes through (0,y) and (-2,0).

Line B goes through (1,2) and (3,10).

To find:

The value of y for which the system of given linear equation (equation of line A and line B) has no solutions.

Solution:

Two linear equation has no solutions if they are parallel line.

Slope formula:

m=\dfrac{y_2-y_1}{x_2-x_1}

We know that the slopes of two parallel lines are the same.

So, the given system of given linear equation has no solutions if

Slope of line A = Slope of line B

\dfrac{0-y}{-2-0}=\dfrac{10-2}{3-1}

\dfrac{-y}{-2}=\dfrac{8}{2}

\dfrac{y}{2}=4

Multiply both sides by 2.

\dfrac{y}{2}\times 2=4\times 2

y=8

Therefore, the required value of y is 8.

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Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
2 years ago
Multiply.<br> 2 1/7 x 3 2/3<br><br> Answer with a mixed number in the simplest form
viva [34]

Answer:

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Step-by-step explanation:

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\frac{15}{7} × \frac{11}{3} =

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Answer:

Yes.

Step-by-step explanation:

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3 years ago
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Andre45 [30]

Answer:

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Step-by-step explanation:

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We can’t answer this question without more info. It’s clearly a multiple choice question, so you need to provide the answers.
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