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masya89 [10]
3 years ago
6

Find the slope of the line that passes through the coordinates (3,-6) and (-9,2)

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-6))/(-9 -3) = 8/-12

  m = -2/3

The slope of the line is -2/3.

__

The graph shows the two points and a line with a slope of -2/3.

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An arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up
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Answer:

s(t)=-9.8t^2+49t+58.8

Step-by-step explanation:

We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.

We know that equation of an object's height t seconds after the launch is in form s(t)=-gt^2+v_0t+h_0, where

g = Force of gravity,

v_0 = Initial velocity,

h_0 = Initial height.

For our given scenario g=-9.8, v_0=49 and h_0=58.8. Upon substituting these values in object's height function, we will get:

s(t)=-9.8t^2+49t+58.8

Therefore, the function for the height of the arrow would be s(t)=-9.8t^2+49t+58.8.

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3 years ago
The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m
SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

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The equation regression line then is:

Y'=33.67+0.54*X'

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Answer:

y = -3/4x -5

Step-by-step explanation:

The slope always goes first, then  variable x and the y intercept comes last

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