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fgiga [73]
3 years ago
15

At what value of x do the graphs of the equations below intersect?

Mathematics
2 answers:
Zarrin [17]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

  1. You would find a value of y to plug into either of the equations. For example, I chose the equation 2x - y = 6. When I set it equal to y, I got y = 2x - 6
  2. Now that I know what y is equal to, I plugged it into the second equation to get 5x + 10 (2x - 6) = -10
  3. You then would calculate for x.
  4. Your end result should be x = 2, which is the point that the two equations intersect

This works because the two equations are set equal to each other, making them share a common value between them.

You can also plug both of these equations into a graphing calculator, and on the graph select the command to calculate the intersection.

Hope this helped!

pychu [463]3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

Given the 2 equations

2x - y = 6 → (1)

5x + 10y = - 10 → (2)

Multiplying (1) by 10 and adding to (2) eliminates the y- term.

20x - 10y = 60 → (3)

Add (2) and (3) term by term to eliminate y, that is

25x = 50 ( divide both sides by 25 )

x = 2

The value of x at the point of intersection is x = 2

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Given that S is the centroid of triangle MNO, find SQ.
AnnZ [28]

Answer:

|SQ|=5

Step-by-step explanation:

If S is the median, then OP is a median of triangle OMN.

This implies that:

|MP|=|NP|

3x-4=x+4

We group like terms and solve for x.

3x-x=4+4

\implies 2x=8

\implies x=4

Now we know that: MN:SQ=2:1

But MN=2x+2

This implies that:

2x+2:SQ=2:1

Put x=4

2(4)+2:SQ=2:1

10:SQ=2:1

Therefore |SQ|=5

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3 years ago
VWX and NOP are similar. If mV=44 and mP=66, what is mW
Elena L [17]

It is given that the two figures are similar. This means that mV is equal to mN, mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle is equal to 180 degrees.

<span>                          mV + mW + mX = 180</span>

 

Substituting the known variables and the conditions given in the description of the similar triangles,

<span>                           44 + mW + 66 = 180</span>

<span>The value of mW in the equation is 70 degrees. </span>

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3 years ago
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How do you do these problems
Elden [556K]

Well for the first one, that is presumably a straight line and straight lines all have 180 degrees. So you add 61 and 23 to get 84 and subtract that from 180. You then get 96 degree.

For the second one corresponding angles on a transversal are congruent so x+95=4x-10 and then you solve the equation.;

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Can you determine the factors of x^2 - 8x - 12?
Alex73 [517]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

1:SPLIT THE MID FACTOR
<span>X^2+8X+12
</span><span> X^2+6X +2X+12 [12=6*2
</span><span> 8=6+2
</span>
2:TAKE COMMON FACTORS FROM 1ST TWO AND <span>LAST TWO FACTORS
</span><span>X^2+6X +2X+12 EQUALS
</span><span>X(X+6) + 2(X+6)
</span>
<span>3: TAKE (X+6) AS COMMON FACTOR
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