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gladu [14]
3 years ago
10

Find me shape of the line through the pair of points: 1) (6,7) and (-3,5)

Mathematics
1 answer:
zvonat [6]3 years ago
8 0

Answer:

Slope of the line through the pair of  points:  (6,7) and (-3,5) is \mathbf{-\frac{2}{3}}

Step-by-step explanation:

Find me shape of the line through the pair of

points:

1) (6,7) and (-3,5)

<em>(Note: Correction. I assume there is spelling mistake and you need to find slope of line and not shape)</em>

The slope of line can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We are given points (6,7) and (-3,5)

We can write: x_1=6, y_1=7, x_2=-2, y_2=5

Now, putting values in the formula and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-7}{-3-(-6)}\\Slope=\frac{5-7}{-3+6}\\Slope=\frac{-2}{3}

So, the slope is -\frac{2}{3}

Therefore, Slope of the line through the pair of  points:  (6,7) and (-3,5) is \mathbf{-\frac{2}{3}}

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The following function represents the value of a car, in dollars, after x years:
Assoli18 [71]

Answer:

Option D.The decrease in the value of the car, which is 8%

Step-by-step explanation:

we have a exponential function of the form

f(x)=a(b)^{x}

where

y is the value of the car

x is the time in years

a is the initial value

b is the base

r is the rate of decrease

b=1+r

In this problem we have

a=$24,000 initial value of the car

b=0.92

so

0.92=1+r

r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease

8 0
3 years ago
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a tank is 3/7 full of water.After removing 420 litres it became 12/35 full .how much can the tank hold when full? ​
insens350 [35]

Answer:

4900 Litres

Step-by-step explanation:

First we need a common demoninator:

3/7=15/35

Then we subtract the two to figure out how much 420 Litres is:

15/35-12/35=3/35

3/35=420 litres

Divide amount by the numerater for thow much 1/x is.

1/35=140

and multiply by the denomenator to get a full number on your fraction, and therefore a full tank.

140 x 35 = 4900

5 0
2 years ago
What is the mean,median,mode(s) an range if the numbers are 15,30,17,15,24,31,15
Phoenix [80]
The mean is 21.  The median is 15.  The mode is 15.  The range is 16.
7 0
3 years ago
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Solve the equation: x-10 - 2x + 7 = 8 + x - 10 - 3x
Minchanka [31]

Answer: If you're looking for the value of x, it's 1.

Step-by-step explanation:

Add the numbers. x-10-2x+7=8+x-10-3x--->x-3-2x=8+x-10-3x

Combine like terms. x-3-2x=8+x-10-3x ---> -x-3=8+x-10-3x

Subtract the numbers.-x-3=8+x-10-3x---> -x-3=-2+x-3x

Combine like terms. -x-3=-2+-3x---> -x-3=-2-2x

Rearrange terms. -x-3=-2-2x---> -x-3=-2x-2

Hope that helps!

4 0
3 years ago
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I will give brainelest but i need help on the graph
const2013 [10]

Answer:

1)   (6,2) (9,2) (3,8) (3,5)

2)   (2,-5) (5,-5) (-1,-11) (-1,-8)

Step-by-step explanation:

For the first question, your reflecting over the x-axis into quadrant I, so you just need to make all the coordinates positive.  The numbers stay the same - you just get rid of the negative signs.  (6,2) (9,2) (3,8) (3,5)

For the second problem, you subtract 4 from the x-value, and 3 from the y-value.

(6,-2) becomes (2,-5)

(9,-2) becomes (5,-5)

(3,-8) becomes (-1,-11)

(3,-5)  becomes (-1,-8)

3 0
3 years ago
Read 2 more answers
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