Andrew walks his sister to school every day. They walk 0.25 miles south, and then 0.25 miles west to get to school. Approximately how far are they from home if they could have walked diagonally across the park?

Approximately 0.35355 miles.

Step-by-step explanation:

You find this by using the Pythagorean Theorem, which is . The Pythagorean Theorem finds the length of the hypotenuse, or the longest side of a triangle using the two shorter sides.

In this case, plug in .25 and .25 into A and B because they are the short sides of the triangle.

Now we have this.

Next, solve for C.

Square root both sides.

Simplify.

This answer makes sense because it is longer than the other two sides, but shorter than the two sides added together. Of course, walking diagonally from one point to another requires less distance than walking south then west to it.

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz

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.