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3 years ago

5. Write the equation of the line represented by the following graph (2 points):

Mathematics

1 answer:

Tcecarenko [31]3 years ago

3 0

Answer:

y=2/3x-2

Step-by-step explanation:

We can first find the y-intercept of the graph.

The y-intercept is the value of y when x is 0.

So, based on the graph, we can see that the y-intercept is at (0, -2).

Now, we need to find another point in order to find the slope of the line.

Another point would be (3,0).

This is also the x-intercept.

We can put these points into the formula for slope to find the slope of the given line.

The formula for slope is: y1-y2/x1-x2

In the formula:

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

We can plug our points in.

-2-0/0-3

Simplify.

-2/-3

2/3

The slope is 2/3.

Put it into an equation.

We can use the form y=mx+b

This is where m is the slope and b is the y-intercept.

We can put our corresponding values in.

The final equation would therefore be: y=2/3x-2.

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You previously found the mean of this data set. Use that in answering the question. 63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25,

kicyunya [14]

Answer:

Sum of squares of differences = 11239.74

Step-by-step explanation:

We are given the following data set:

63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25, 93, 22, 90, 79

We have to calculate the sum of square of the data set.

Formula:

$\text{Sum of square of differences} = \sum (x_i -\bar{x})^2$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{962}{15} = 64.13$

Sum of squares of differences =

1.284444444 + 618.3511113 + 776.5511113 + 78.61777778 + 221.0177779 + 61.88444445 + 908.0177776 + 791.4844443 + 892.017778 + 1860.484444 + 1531.417778 + 833.2844446 + 1775.217777 + 669.0844446 + 221.0177779

= 11239.74

3 0

3 years ago

I need to find the area of the shaded region

spin [16.1K]

Well first find the area of the semi-circle.

If the area of a cricle is equal to pi*radius^2 , then you can just find that and divide by 2.

So, A = pi*2^2. = 4pi

We know that the radius is 2 because the length of the side of the rectangle is 4, meaning that the diameter of the semi-circle is 4, and so the radius is 2 as it is half of the diameter.

We can easily calculate the area of the rectangle, which is
Length * width = 6*4 = 24.

Next we divide 4pi by 2 in order to get the area of the semi-circle, giving us an area of 2pi

We can just subtract 2pi from 24 and get the area of the shaded region.

Area of the shaded region (answer): 17.7

4 0

3 years ago

Which inequality is shown?

Nimfa-mama [501]

Answer:

It should be J

Step-by-step explanation:

The line is solid indicating it is a greater than/less than/equal relationship and the shaded area indicated a positive y (so greater than)

5 0

3 years ago

Find the slope of the line containing the points (2,-5) and (-4,9)

eimsori [14]

Answer:

The slope would be -2 1/3 or -2.3 repeating

Step-by-step explanation:

The first point would be (-4, 9). The next point is (2, -5). We can tell that the slope will be negative, because the x values increased by 6, but the y values decreased by 4.

The slope would be -2 1/3 or -2.3 repeating

I Hope That This Helps! :)

5 0

3 years ago

Hi guys can you guys help me with this question

tresset_1 [31]

Answer:

1)6.000

2)8.935.600

5)70.000

4)2.509.200

7)6.000

8)9.000

10)5.800

11)6.900.000

13)5.000

14)2.000

16)5.000

17)6.400

Step-by-step explanation:

if you a line on the numbers you will see it easy

7 0

2 years ago