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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Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
Answer:
12.96pi
Step-by-step explanation:
area = r^2 *pi
= 3.6^2 * pi
= 12.96pi
Answer:
6 (may change if multiple number cubes are used; 2 dice = 6^2, 3=6^3, so on)
