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maxonik [38]
3 years ago
14

What is the slope of the line that contains the points (1 -1) and (-2 8)

Mathematics
1 answer:
wel3 years ago
8 0

The slope of the line that contains the points (1 -1) and (-2 8) is -3

Step-by-step explanation:

Slope measures the steepness of a line. It is the ratio of vertical change to horizontal change. If the line increasing, the slope is positive and if the line is decreasing the slope is negative. If the line is horizontal slope is zero and if the line is vertical slope is undefined.

Equation for slope = (y2-y1)/(x2-x1)

here y2= 8

x2=-2

y1=-1

x1=1

Substituting the following,

slope = (8+1)/(-2-1)

=9/-3

=-3

hence the slope is -3

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The distance travelled in (m) by a ball dropped from a height are 128/9,32/3,8,6,...
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Answer: it will trave 56.89 meters before coming to rest.

Step-by-step explanation:

This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as

S = a/(1 - r)

where

S = sum of the distance travelled by the ball

a = initial distance or height of the ball

r = common ratio

From the information given,

a = 128/9

r = (32/3)/(128/9) = 0.75

Therefore,

S = (128/9)/(1 - 0.75) = 56.89 meters

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Answer:

D: 6 5/6

Step-by-step explanation:

Solve for a:

a + 7/6 = 8

Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:

(6 a)/6 + 7/6 = 8

(6 a)/6 + 7/6 = (6 a + 7)/6:

(6 a + 7)/6 = 8

Multiply both sides of (6 a + 7)/6 = 8 by 6:

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(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:

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3 years ago
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