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Alexus [3.1K]
3 years ago
14

​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.

Download pdf
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
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