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Amanda [17]
2 years ago
7

How does the diagram show that the slope between any

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
4 0

The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.

Option D is correct.

<h3>What is the slope of a graph?</h3>

The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).

\mathbf{slope = \dfrac{rise}{run}}

\mathbf{slope = \dfrac{\Delta y}{\Delta x}}

\mathbf{slope = \dfrac{ y_2-y_1}{x_2-x_1}}

From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.

Learn more about the slope of a graph here:

brainly.com/question/19376563

#SPJ1

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How many bit strings of length 12 are palindromes and contain 10 as sub string
andre [41]
There are as many palindromic 12-bit binary strings as there are permutations with repetition of 6-bit binary strings, which is equal to 2^6=64.

There are also only two permutations with repetition of 6-bit binary strings, that when each of them is mirrored and the result is "glued" to the right side of the original string, will give a palindromic string without 10 as a substring.
Those strings are 000000 and 111111.

Therefore there are 64-2=62 palindromic 12-bit binary strings with 10 as substring.
4 0
2 years ago
WORTH 50!! Answer it with explanation and the answer is not y+6 I have some idea on how to do this.
mafiozo [28]

Answer:

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line 2x-3y=12 is 3x+2y=34

Step-by-step explanation:

Given:

2x-3y=12

To Find:

Equation of line passing through ( 16, -7) and is perpendicular to the line

2x-3y=12  

Solution:

2x-3y=12 ...........Given

\therefore y=\dfrac{2}{3}\times x-4

Comparing with,  

y=mx

Where m =slope  

We get

Slope = m1 = \dfrac{2}{3}

We know that for Perpendicular lines have product slopes = -1.

m1\times m2=-1

Substituting m1 we get m2 as

m2=-\dfrac{3}{2}

Therefore the slope of the required line passing through (16 , -7) will have the slope,

m2=-\dfrac{3}{2}

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the point (16 , -7)  and slope m2 we will get the required equation of the line,

(y-7)=-\dfrac{3}{2}\times (x-16)\\\\2y+14=-3x+48\\3x+2y=34......Equation\ of\ line

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line 2x-3y=12 is 3x+2y=34

6 0
3 years ago
What are the x-intercepts and the y-intercepts of the graph of 12x−3y=36
nikklg [1K]

Answer:

Step-by-step explanation:

12x −3y=36  ⇔ 3y = 12x - 36

                          y = 4x - 12

y = 0 ⇔ 4x - 12 = 0 ⇔ 4x = 12 ⇔ x = 12/4 = 3

So (0 ; - 12) and (3 ; 0)

4 0
1 year ago
Read 2 more answers
PLEASE HELP ASAP ANY AND ALL ANSWERS ARE APRECIATED
Kipish [7]

Answer:

I dont know

Step-by-step explanation:

multiple and simply the equation

4 0
2 years ago
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The sum of two numbers is 40 and the difference of these numbers is 14. Write a system of equations to represent this scenario a
ExtremeBDS [4]

Answer:

26

Step-by-step explanation:

6 0
3 years ago
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