The slope of the line in its simplest form is 3.
The slope of a line is .
We need to find the slope of the line in its simplest form.
<h3>What is the slope?</h3>In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.
Select any two points on the line like A and B.
From the below figure it is clear that
Rise = Change in y = -2-(-5) = 3
Run = Change in x = 9-0 = 9
Now,
Therefore, the slope of the line in simplest form is 3.
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The total amount of calories burnt in jogging 2 miles = 185 calories
We have to determine the number of calories burned in jogging 3 miles.
Firstly, we will determine the amount of calories burnt in jogging 1 mile. We will use unitary method to evaluate this.
So, the total amount of calories burnt in jogging 1 mile =
= 92.5 calories
So, the amount of calories burnt in 3 miles =
= 277.5 calories
Therefore, 277.5 calories are burned in jogging 3 miles.
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
