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stira [4]
3 years ago
5

How do you write an equation for a a line perpendicular to a line with only having the equation and not graphing?

Mathematics
2 answers:
slamgirl [31]3 years ago
8 0
Perpendicular lines gradients times to get -1 so you just use a line with any y intercept but the gradient must times with the gradient you already have to get minus one.
Arturiano [62]3 years ago
7 0
Put each formula in y=mx+b form, then find the inverse of m.  
Ex: 
1. x+y=2
y=x-2
the inverse of 1 is -1 so the perpendicular line would be y=-x-2
You might be interested in
Evaluate 48/6-10/3 please and thank you :)))
vodomira [7]

Answer:

14/3

Step-by-step explanation:

Simplify the following:

48/6 - 10/3

Hint: | Reduce 48/6 to lowest terms. Start by finding the GCD of 48 and 6.

The gcd of 48 and 6 is 6, so 48/6 = (6×8)/(6×1) = 6/6×8 = 8:

8 - 10/3

Hint: | Put the fractions in 8 - 10/3 over a common denominator.

Put 8 - 10/3 over the common denominator 3. 8 - 10/3 = (3×8)/3 - 10/3:

(3×8)/3 - 10/3

Hint: | Multiply 3 and 8 together.

3×8 = 24:

24/3 - 10/3

Hint: | Subtract the fractions over a common denominator to a single fraction.

24/3 - 10/3 = (24 - 10)/3:

(24 - 10)/3

Hint: | Subtract 10 from 24.

| 2 | 4

- | 1 | 0

| 1 | 4:

Answer:  14/3

5 0
3 years ago
Which equation represents the function graphed on the coordinate plane? g(x) = |x – 4| – 10 g(x) = |x 4| – 10 g(x) = |x – 10| 4
AfilCa [17]

You can use the fact that when mode is used, negative and positive all values become non-negative.

The equation that represents the function graphed on the given coordinate plane is given by

Option B: g(x) = |x+4| -10 is the equation which represents the function graphed on the coordinate plane.

<h3>How to know what function is graphed on the coordinate plane?</h3>

We see what points it goes through, what type of nature it is showing where (like for example, the given function firstly goes down straightly, then rise up straightly after x = -4 ). We can see on what value of x, does the function become 0.

Many such graphical analysis help us to analyze which function can represent the given graph.

<h3>How to analyze given graph?</h3>

The graph contains straight lines, so it must be linear.

The graph contains a twist in the direction where it was going initially and changes the direction. This shows that the graph is using something else than just a regular linear equation.

The graph turns up after it goes through x = -4.

Let we try to make equation of straight lines before and after x = -4 which the graph follows.

The first line goes 1 block down (1 block is of 2 units) on y axis as we go 1 block left on x axis. Thus the slope will be -2/2 = -1 (we take slope as rise/run and since rise was down thus it is taken as -ve rise).

The slope intercept form of this line would be

y = mx + c\\&#10;y = -x + c

Since the line passes through point x = -4, y = -10, thus this point must satisfy the equation of that line since an equation represents the family of points which  make up the given line.

Thus,

y = -x + c\\&#10;-10 = -(-4) + c\\&#10;-10 = 4 + c\\&#10;c = -10 -4 \\&#10;c = -14

Thus, the equation of first line would be y = -x -14

The equation of second line, let be y = mx + c.

Since the second line intersects the y axis at y = -6, thus the y intercept of this line is -6 or c = -6.

Since the line rises 1 block( = 2 units) as one block of run happens on x axis in left direction (we take left as positive and right direction run as negative. This is standard sign convention used by most of the mathematical community. Conventions are just to remove ambiguity on international level). Thus, the slope of this line is 2/2 = 1

Thus, m = 1 or the equation of this line would be:

y = x - 6

We can rewrite both the lines as:

y = -x -14\\&#10;and \\&#10;y = x -6\\&#10;\\\\&#10;y = -x -10 -4\\&#10;and\\&#10;y = x - 10 + 4\\&#10;\\\\&#10;y = -10 - (x + 4)\\&#10;and\\&#10;y = -10 + (x + 4)

But the graph has first line till x <= -4 and second line from x >= -4

Thinking carefully on this fact, we can see that when x <= -4 in first line, the -(x+4) is positive or 0

Similarly, for second line, when x >= -4,

the (x+4) is positive or 0

Thus, we can merge both equations using mode:

y = -10 + |x+4|

which will make x+4 to stay positive all the way. Thus, when x <= -4, this will simulate the first line, and when x >= -4, this will simulate the second line.

Note that at x = -4, both the lines have y = -10.

Thus, Option B: g(x) = |x+4| -10 is the equation which represents the function graphed on the coordinate plane.

Learn more about straight line here:

brainly.com/question/18170576

5 0
2 years ago
Read 2 more answers
Trigonometric Ratios and Unit Circles.<br> See Image Below.
Sophie [7]

Answer:

irudiwhiwhs swsw is d

Step-by-step explanation:

8349240 is your aswr 213

6 0
3 years ago
Describe how k affects the graph of the function f(x)= -3/5(10)^x
Shalnov [3]

Answer:

1437.33

Step-by-step explanation:

8 0
2 years ago
The app isn't letting me post the picture alone so this is just here so I can post the picture ;-;​
labwork [276]

Answer:

  (x, y) = (0, -2248)

Step-by-step explanation:

<u>Substitution</u>

Substitute for y:

  300x -2248 = 350x -2248

  0 = 50x . . . . . . . . add 2248-300x to both sides

  x = 0

  y = 300·0 -2248

The solution is (x, y) = (0, -2248).

__

<u>Elimination</u>

Subtract the first equation from the second.

  (y) -(y) = (350x -2248) -(300x -2248)

  0 = 50x

  x = 0

  y = 300·0 -2248

The solution is (x, y) = (0, -2248).

__

<em>Additional comment</em>

If you think for a bit about what the graph looks like, you realize both lines cross at their y-intercept, (0, -2248). That point of intersection is the solution to the system of equations.

7 0
2 years ago
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