A boat travels 21 miles due north and then 28 miles due east. Then the boat travels in a straight line back to its starting point. Solve to find the straight line distance of the boat to its starting point. A.28 miles
B.33 miles
C.35 miles
D.49 miles

When the boat headed 21 miles north then 28 miles to the east then back to its starting point, it formed a right angle triangle. And that straight line the question is talking about is the hypotenuse.

Use the Pythagorean Theorem to solve for hypotenuse.

The Pythagorean Theorem states that for any right triangle the following is true: when you take the sum of both of the legs squared it will equal to the hypotenuse squared.

In equation form:  a^2+b^2=b^2

Where the variables a and b are the legs. And the variable c is the hypotenuse.

Plug in the values.

21^2 + 28^2 = c^2

441 + 784 = c^2

1225 = c^2

35 = c

So, the straight line is 35 miles long.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.