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Scorpion4ik [409]
3 years ago
11

What is the slope of the line that passes through the pair of point? (5, 7), (2, 1)

Mathematics
1 answer:
choli [55]3 years ago
4 0

The slope of the line that passes through the pair of point (5, 7), (2, 1) is 2

<em><u>Solution:</u></em>

Given that line that passes through the pair of point (5, 7), (2, 1)

To find: slope of the line

<em><u>The slope of line is given as:</u></em>

For a line passing through two points (x_1, y_1) and (x_2, y_2) slope is given as:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here in this problem,

\left(x_{1}, y_{1}\right)=(5,7) \text { and }\left(x_{2}, y_{2}\right)=(2,1)

<em><u>Substituting the values in above formula,</u></em>

m=\frac{1-7}{2-5}=\frac{-6}{-3}=2

Thus the slope of given line is 2

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Two bags of cement and three bags of sand weigh 68 lbs. Three bags of sand weigh 60 lbs. All bags of cement weigh the same and a
madam [21]

Answer: 4:20

Step-by-step explanation:

60 lbs can be divided into three groups, in this case the bags of sand, so 60 divided by 3 is 20.

Now you have the 8 lbs left. It gets divided into two groups/bags so you would do 8 divided by 2 is 4.

Then for your ratio it is cement to sand which is 4:20. You can write the ratio however way you want or what is required by the question.(fraction bar, ‘to’, or colon ‘:’ )

Hope this helps!

6 0
3 years ago
Find the slope of the line.
Morgarella [4.7K]

The slope:

m=\dfrac{\Delta y}{\Delta x}

Look at the picture.

6 units down → -6

2 units right → 2

m=\dfrac{-6}{2}=-3

<h3>Answer: Slope = m = -3</h3>

8 0
3 years ago
Read 2 more answers
Adam, Brian, and Casey are all brothers. Brian is three years less than twice Casey’s age. Adam is 9 years older than Casey. The
blagie [28]

Let Casey's age be x

Brian's age will be -3 from 2 times x ( Casey's age ) so it will be 2x-3

Adam's age will be Casey's age (x) + 9 which is x+9

NOW the sum of all these ages is 46 so..

Casey's age + Brian's age + Adam's age = 46

x + 2x-3 + x+9 = 46

2x + x + x + 9 -3 = 46

4x + (9 - 3) = 46

4x - 6 = 46

now transfer the numbers on the left one by one to the other side( right )

4x = 46 - 6        ( always remember the sign of the number becomes the                            opposite when we transfer them to other side)

4x = 40

x = 40 / 4

x = 10

so x = Casey's age = 10

2x - 3 = Brian's age = 2 * 10 - 3

                                = 20 - 3   =   17

x + 9 = Adam's age = 10 + 9 = 19

8 0
3 years ago
An ice cream package is done shaped. It has a radius of 5.5 centimeters and a height of 17 centimeters. What is the volume of th
kicyunya [14]
You would do 17 times 5.5 = 93.5, so the volume of the ice cream cone would be 93.5 centimeters. I’m assuming that’s the right answer but you might want to get a second opinion.
8 0
3 years ago
I need all parts answered please!
Arisa [49]
Width = w
d)length in term of width
 w + 5
b)
2(w + w + 5) > 30
2(2w +5)>30

c)
solve
2(2w +5) > 30
4w + 10 > 30
4w > 20
  w > 5

5 0
3 years ago
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