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Answer:
The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>
Step-by-step explanation:
Given:
Helicopter flies 10 miles east of bristol.
Then the helicopter flies 8 miles North before landing.
To find the direct distance between the helicopter and bristol.
Solution:
In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter
The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.
On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.
Applying Pythagorean theorem to find the hypotenuse of the triangle.
Taking square root both sides.
Thus, the distance of the helicopter from the bristol is approximately 12.81 miles
The slope of this linear equation that models the data indicate: B. the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.
<h3>What is a linear function?</h3>A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
<h3>What is a slope?</h3>A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
<h3>How to calculate the slope of a line?</h3>Mathematically, the slope of any straight line can be calculated by using this formula;
Substituting the given points into the formula, we have;
Slope = (5 - 5.5)/(10 - 5)
Slope = -0.5/5
Slope = -0.1.
In conclusion, we can infer and logically deduce that the slope of this linear equation that models the data indicate the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.
Read more on linear function here: brainly.com/question/6978079
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