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3 years ago

A line goes through the points (8,9) and (-2,4).

Mathematics

1 answer:

vazorg [7]3 years ago

8 0

<h3>Answer:</h3>

slope = 1/2
equation: y = 1/2x +5

<h3>Step-by-step explanation:</h3>

Slope

The slope of the line between two points (x1, y1) and (x2, y2) is ...

... m = (y2 -y1)/(x2 -x1)

For your given points, the slope is

... m = (4 -9)/(-2 -8) = -5/-10

... m = 1/2

Equation

The point-slope form of the equation for a line can be written ...

... y = m(x -h) +k . . . . for a line of slope m through point (h, k)

Using the first point given and the slope just calculated, the equation for the line can be written ...

... y = (1/2)(x -8) +9

... y = (1/2)x -4 +9 . . . . eliminate parentheses; next, collect terms

... y = 1/2x +5

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natta225 [31]

Answer:

C, 105

Step-by-step explanation:

45 divided by 3 is 15 so 15 x 7 = 105 minutes.

5 0

2 years ago

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oksano4ka [1.4K]

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3 years ago

The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.

Bas_tet [7]

Answer:

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

3 0

2 years ago

Maths!

Ber [7]

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

X $X-\bar X$ $(X-\bar X)^{2}$

5 5 - 8 = -3 9

8 8 - 8 = 0 0

10 10 - 8 = 2 4

9 9 - 8 = 1 1

6 6 - 8 = -2 4

Total 72 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{72}{9}$ = 8

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

X $X-\bar X$ $(X-\bar X)^{2}$

7 7 - 10 = -3 9

10 10 - 10 = 0 0

12 12 - 10 = 2 4

11 11 - 10 = 1 1

8 8 - 10 = -2 4

Total 90 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{90}{9}$ = 10

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the new standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.

4 0

3 years ago

The cheetah is the fastest land animal, capiable of attaining a speed of 110 km/h. In August 2009 , the world record for the men

lozanna [386]

Answer:

About 3 times faster

Step-by-step explanation:

Cheetah's speed = 110 km / hr

World 100m sprint record :

Speed of sprinter :

Distance / time

100 m / 9.58s

= 10.438413 m/s

Convert Cheetah's speed to m/s

110 km/hr = (110 * 1000)m / (60 * 60 s)

= 110000 m / 3600 s

= 30.55555 m/s

Number of times cheetah is faster than sprinter :

30.55555 m/s ÷ 10.438413 m/s

= 2.927 times

5 0

3 years ago