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3 years ago

Solve the systems of equations:

Mathematics

1 answer:

Sidana [21]3 years ago

6 0

(x,y)=(2,3)
This is Answer

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Write an equation of the line containing the point (6,-4) and perpendicular to.the line y=-2x-3

igor_vitrenko [27]

Answer:

$y=\frac{1}{2}x-7$

Step-by-step explanation:

So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.

First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

$m_1\cdot m_2=-1$

Plug -2 for one of the slopes.

$-2\cdot m_2=-1$

Divide by -2 to find the slope of our line.

$m_2=1/2$

Thus, our line needs to have a slope of 1/2.

Now, let's use the point-slope form. The point-slope form is given by:

$y-y_1=m(x-x_1)\\$

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

$y-(-4)=\frac{1}{2}(x-6)\\$

Simplify and distribute:

$y+4=\frac{1}{2} x-3$

Subtract 4 from both sides:

$y=\frac{1}{2}x-7$

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.

5 0

3 years ago

Solve the inequality -2/9b>-12

trapecia [35]

Answer:

1/2

Step-by-step explanation:

3 0

3 years ago

Graph matching 50 Points!

Sloan [31]

Step-by-step explanation: To find the graphs, we look at the problem and the graph. Let's do it step-by-step.

No. 1 is y = 1/2.

To find the corresponding graph, we look closely at the graph.

Look at the 2nd graph. Do you see a dot by 1/2? I do!

So, No. 1 matches with the 2nd graph.

No. 2 is y = 2.

Like I said, we look closely at the graph.

Look at the 4th graph. Do you see a dot by 2? I do!

So, No. 2 matches with the 4th graph.

No. 3 is y = 4.

Now, we look closely at the graph.

Look at the 3rd and the 4th graph. Do you see a dot by 4? I do!

So, No. 3 matches with the 3rd and the 4th graph.

Lastly, No. 4 is y = 1/4.

Let's look closely at the graph.

Look at the 1st graph. Do you see a dot by 1/4? I do!

So, No. 4 matches with the 2nd graph.

Therefore, our answers are:

No. 1 matches with the 2nd graph

No. 2 matches with the 4th graph.

No. 3 matches with the 4th and the 3rd graph.

No. 4 matches with the 1st and the 2nd graph.

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5 0

2 years ago

Read 2 more answers

Please help me solve this

Oduvanchick [21]

$\dfrac{x}{ - 3} < - 4 \\\\ x > 12$

P. S. The inequality sign changed or flipped when there's a negative figure involved.

Hope this helps. - M

3 0

3 years ago

9. Marika Perez's gross biweekly pay is $2,768.00 How much does she earn annually.

faust18 [17]

The answer is 71,968

5 0

2 years ago

Read 2 more answers

​Solve the systems of equations: ​ ​ ​​

Solve the systems of equations: