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Naddika [18.5K]
3 years ago
10

A line passes through the points (1, 8) and (0, 3). What is its equation in slope-intercept form?

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

Step-by-step explanation:

The equation is y=mx+b.

In this case, you plug in 3 for b, because b represents the y-intercept and the y-intercept is (0,3).

To figure out the slope, the equation is y-y/x-x, so it would be 8-3/1-0, which leves us with 5.

M represents the slope so your answer is:

Y=5x+3

Hope this helps!

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Find<br> an irrational number for the square if 20
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Answer:

irrational, not a perfect square.

Step-by-step explanation:

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A bag contains 77 coins consisting of quarters and nickels. The total value of the coins is $12.50. Write a system of equations
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I got this question too and I have no idea :(
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What is the area of a sector with a central angle of (2pi/3) radians and a diameter of 12 in?
Stels [109]

Answer:

The area of the sector is 37.68\ in^{2}

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

we have

r=12/2=6\ in ----> the radius is half the diameter

substitute

A=(3.14)(6)^{2}

A=113.04\ in^{2}

step 2

Find the area of a sector with a central angle of (2pi/3)

Remember that

The area of 113.04\ in^{2} subtends a central angle of 2\pi \ radians

so

by proportion

Let

x----> the area of the sector

\frac{2\pi}{113.04}=\frac{(2\pi/3)}{x}\\ \\x=113.04*(2\pi/3)/(2\pi)\\ \\x=37.68\ in^{2}

8 0
3 years ago
Find the area of the figure in the image attached. Round to the nearest tenth if necessary.
tatyana61 [14]

Answer: 15in^2

Step-by-step explanation:

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Use the box plot to answer the questions. What is the range of Charles’s scores? What is the median of Charles’s scores? What is
vekshin1

Box-plot describes 5 important data of the observations. We get following values for range, median and IQR as:

  • The range of Charles' scores is 20
  • The median of Charles' scores is 90
  • The IQR of Charles' scores is 8

<h3>How does a boxplot shows the  data points?</h3>

A box plot has 5 data description.

  • The leftmost whisker shows the minimum value in the data.
  • The rightmost whisker shows the maximum value in the data.
  • The leftmost line in the box shows the first quartile.
  • The middle line shows the median, also called second quartile.
  • The last line of the box shows the third quartile.

<h3>How to find the interquartile range?</h3>

IQR(inter quartile range)  is the dfference between third and first quartile. (Its the horizontal length of the box)

<h3>What is the range of a data set?</h3>

Range = Maximum value of the data set - Minimum value of the dataset

The missing box plot is attached below for the given problem.

From the given data, we see that, the left and right whiskers are on  80 and 100 respectively.

The left and right limit of the box are on 85 and 93 respectively.

The middle line lies on 90.

Thus, we get:

  • Minimum score = left whisker = 80
  • Maximum score = right whisker = 100
  • First quartile = left limit of box = 85
  • Third quartile = right limit of box = 93
  • Second quartile = median = middle line's position in the box = 90

Thus, we get:

  • Range of Charles' score = Max - min value = 100 = 80 = 20
  • Median of Charles' score =  90
  • IQR = third quartile - first quartile = 93 - 85 = 8

Learn more about box plot here:

brainly.com/question/1523909

8 0
2 years ago
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