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Delvig [45]
3 years ago
5

Determine if the following equations form a perpendicular line or not

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept.

If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2

<h2>6.</h2>

Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation: -5y=-2x+8

Next, divide both sides by -5 and your slope-intercept form is y=\frac{2}{5}x+\frac{8}{5}

Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>

<h2>7.</h2>

It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:

6x-3y=15 \\-3y=-6x+15\\y=2x-5\\\\2x+4y=-12\\4y=-2x-12\\y=-\frac{1}{2}x-3

Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>

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Use substitution to solve each system of equations <br> X=y-2<br> 4x+y=2
Mariulka [41]

Answer:

Step-by-step explanation:

x = y - 2.........(1)

4x + y = 2......(2)

Substituting x in (1) in (2)

4(y - 2) + y = 2

4y - 8 + y = 2

5y = 2 + 8

5y = 10

y = 10/5

y = 2

Putting x in (1)

x = y - 2

x = 2 - 2

x = 0

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Nine less than the product of a number n and 1/6 is no more than 92
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Step-by-step explanation:

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2 years ago
Which value from the set {3, 8, 9, 14} makes the equation true?
garik1379 [7]

the answer would be 8.

2 times 8 = 16 minus 5 = 11

7 0
3 years ago
Without graphing, determine whether the following pair of lines are parallel, perpendicular, or neither parallel nor perpendicul
Tomtit [17]

Write the equation of the lines in slope-intercept form (y=mx+b)

First equation: It is already in slope-intercept form

y=\frac{2}{5}x-4

Second equation: solve y:

\begin{gathered} 4x-10y=-7 \\ 4x-4x-10y=-4x-7 \\ -10y=-4x-7 \\ \frac{-10}{-10}y=\frac{-4}{-10}x-\frac{7}{-10} \\  \\ y=\frac{4}{10}x+\frac{7}{10} \\  \\ y=\frac{2}{5}x+\frac{7}{10} \end{gathered}

Identify the slope of each line:

If two or more lines have the same slope then the lines are parallel

If two lines have slopes that are negative reciprocals then the lines are perpendicular

The two given lines have the same slope: 2/5. Then, they are parallel lines
4 0
9 months ago
MARKING BRAINLIESTTT!!! PLUS 30PTS EARNED!! HELP ASAPP PLZZZ!!!!
Elza [17]

Answer:

  1.  9 < s < 17

  2.  5 < MN < 19

  3.  AD > BD

Step-by-step explanation:

1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:

  • the sum of the shortest two sides is greater than the length of the longest side
  • the length of any side lies between the sum and the difference of the other two sides

Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...

  9 < s < 17

(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)

__

2. Same as (1) using different numbers.

  12 -7 < MN < 12 +7

  5 < MN < 19

__

3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:

  AD > BD

7 0
3 years ago
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