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Leto [7]
2 years ago
6

Write an equation and state the slope for the line that passes through (9,22) and (15,36).

Mathematics
1 answer:
Andreas93 [3]2 years ago
8 0

Answer:

Slope = 2.3 or 2

Step-by-step explanation:

First, to find the slope of the given coordinates (9,22) and (15,36), we must establish what will be our starting and endpoint.

Let's have (9,22) be our starting point.

And (15,36) be our endpoint.

First, what is the change in x?

The change in x is 6, because 9 + 6 = 15.  (Δx = 6)

Second, what is the change in y?

The change in y is 14, because 22 + 14 = 36.  (Δy = 14)

Now we can find the slope by dividing the change in y over the change in x or Δy/Δx:

\frac{14}{6} = 2.3 or 2

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3 years ago
What is less than 5/6 with a denominator of 8
azamat
Chose a fraction with a denometer of 8.
Ex: 3/8

To compare 5/6 and 3/8 we need to find the LCM (the lowest common denominator.)

This can easily be done by listing the multiples of each number.
6: 6, 12, 18, 24, 30, 36
8: 8, 16, 24, 32, 40, 48

The Lowest common denominator would be 24.

6*4=40
8*3=40

Since we altered the denometer, either by multyplying by 6 or 8 (to get 24), we must do the same for the numerator.

3/8*3
9/24

5/6*4
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Now we compare the fraction properly.
20 is larger than 9 so we know that 3/8 is less than 5/6.

Hope this helps! Please leave a thanks/braniest answer! 
4 0
3 years ago
Write an inequality using variables x and y whose graph is described by the given information. The points (2,5) and (-3,-5) lie
luda_lava [24]

The inequality using variables x and y which satisfy the points are; y>-3x+3.

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that the points (2,5) and (-3,-5) lie on the boundary line.

The system of inequality is given by:

y>-3x+3-

Now, the point that will lie in the solution set to the following system of inequality are the point that satisfies the inequality.

a)  (6, 5)

when x=6 and y= 5

then we have:

y>-3x+3

6 > -3×5 + 3

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5 > -12

This means that the point will lie in the solution set.

Also, (-2, -3) when x= -2 and y= -3

then we have:

5 > -3×(-2) + 3

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5> 9

Hence, the inequality using variables x and y which satisfy the points are; y>-3x+3.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

8 0
2 years ago
4/5 of Sarah's pens are equal to 1/3 of Matt's pens. Express the number of Matt's pens as a fraction of the total number of pens
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Let us say that the number of pens that Matt has is x. Therefore the number of pen that Sarah has is:

Sarah pens = (5/4) (1/3) x = (5/12) x

 

So the total number of pens they have is:

total = x + (5/12) x = (17/12) x

 

Hence the fraction of Matts pen is:

fraction = x / [(17/12) x]

fraction = 12/17

5 0
3 years ago
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