The slope of the line passing through (1 , 0) and (3 , 8) is 4.
Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.
It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points,
and
, to calculate the change in y over the change in x.
where




Substituting the values,

Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.
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The square root of 121 is 11 because 11 times 11 is 121.
(-35-42-63)/7= (-140)/7=-20
Answer:
Perimeter of the figure = 24 m.
Step-by-step explanation:
The given figure is a square of side 6 m in which a rectangle of length 4 m and width 2 m is cut at the corner.
Therefore, the missing sides are 6-4 = 2 m and 6-2 = 4 m.
Hence, the perimeter of the figure = 6 + 6 + 2 + 2 + 4 + 4 = 24 m.
Answer:
Therefore,
Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.
Step-by-step explanation:
Given:
The wind speed near the center of a tornado is represented by the equation,

Where,
d = the distance, in miles
S = the wind speed, in miles per hour.
To Find:
S = ? at d = 4 miles
Solution:
We have
.........Given
Substitute d = 4 in above equation we get,

Rounding the answer to the nearest tenth we have

Therefore,
Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.