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DaniilM [7]
3 years ago
15

Using our formula y2-y1/x2-x1, find the slope of a line through two ordered pairs show your work (-3,-4)(4,5)

Mathematics
1 answer:
Flauer [41]3 years ago
3 0

Given:

The two points are (-3,-4) and (4,5).

To find:

The slope of the line that passes through the given points.

Solution:

The slope formula is

m=\dfrac{y_2-y_1}{x_2-x_1}

The line passes through the points (-3,-4) and (4,5). So, the slope of the line is

m=\dfrac{5-(-4)}{4-(-3)}

m=\dfrac{5+4}{4+3}

m=\dfrac{9}{7}

Therefore, the slope of the given line is m=\dfrac{9}{7}.

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The sum of the measure of the exterior angles of any polygon is 360. x represents the measure of a single exterior angle.
360/56=x
The simplified fraction is 45/7
3 0
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If 75% is 60 pounds what is the full cost
otez555 [7]
OK,  60 pounds is weight.... cost is money.... what the what?
3 0
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Alonzo wrote the equation x=2+4y-5 solve for y
kati45 [8]

hi

if x= 2+4y-5  then        x-2 +5 =  4y   so   y =  (x-2+5)  /4 =  ( x+3) /4

conclusion   y  =  (x+3)/4

3 0
3 years ago
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
If f(×)=2×^2+3, then which of the following represent f(-1)?
eimsori [14]

To find the inverse of this function, we first need to replace f(x) with y.

y = 2x^2 + 3

Now, we swap x and y

x = 2y^2 + 3

Now, we solve for y.

-3

x - 3 = 2y^2

Sqrt both sides.

√(x - 3) = 2y

Divide by 2

√(x - 3)/2 = y

Replace y with f^-1(x)

√(x - 3)/2 = f^-1(x)


Just realized you were asking for f(-1), not f^-1(x)

Feels bad.

f(-1) = 2(-1^2 + 3)

f(-1) = 2(-1^5)

f(-1) = 2(-1)

<u>f(-1) = -2</u>

I'm leaving the original answer in case you also need the inverse function. :)

3 0
3 years ago
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