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insens350 [35]
2 years ago
9

Find the gradient of the line segement between the points (0,-6) and (2,-16)

Mathematics
1 answer:
yulyashka [42]2 years ago
7 0

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

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Answer:

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Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is given by;

=\frac{f(b)-f(a)}{b-a}

We want to find the average rate of change of the function represented in the table  from x=-2 to x=2.

=\frac{f(2)-f(-2)}{2--2}

From the table f(-2)=25 and f(2)=9

The average rate of change from x=-2 to x=2 is

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Oduvanchick [21]

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<em>17/2, 8.8 with bar on right 8, |-9|, sqrt(82)</em>

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In order from least to greatest: 17/2, 8.8 with bar on right 8, |-9|, sqrt(82)

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3 years ago
Vector bought 15.6 pounds of paintballs. All together, the balls cost $35.99.
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vlabodo [156]
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-11x² + 2x - 10 = 10 - 10
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x = <u>-(2) +/- √((2)² - 4(-11)(-10))</u>
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x = <u>-2 +/- √(4 - 440)</u>
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x = <u>-2 +/- √(-436)
</u>             -22<u>
</u>x = <u>-2 +/- 2i√(109)
</u>              -22
x = <u>-2 + 2i√(109</u>)        x = <u>-2 - 2i√(109)</u>
             -22                            -22
x = ¹/₁₁ - ¹/₁₁i√(109)    x = ¹/₁₁ + ¹/₁₁i√(109)
<u />
8 0
3 years ago
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