Question

Wyatt was visiting three cities that lie on a coordinate grid at....

Answer 1

EXPLANATION

We first need to represent the coordinates in a graphing calculator:

We can get the distance from A to B by subtracting the x-axis coordinates:

distance AB= (4-(-4),5-5)

Subtracting numbers:

distance AB = (4-(-4),5-5)

distance AB = ( 8 ,0)

The first part is equivalent to 8 units.

Now, we can get the distance from B to C by applying the distance formula:

$distance\text{ BC=}\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Where (x_1,y_1) = (4,5) and (x_2,y_2) = (-3,-4)

Plugging in the values into the equation:

$distance\text{ BC= }\sqrt{(-4-5)^2+(-3-4)^2}$

Subtracting numbers:

$distance\text{ BC = }\sqrt{(-9)^2+(-7)^2}$

Computing the powers:

$distance\text{ BC= }\sqrt{81+49}$

Adding numbers:

$distance\text{ BC = }\sqrt{130}$

Simplifying:

$distance\text{ BC = 11.40}$

The distance from B to C IS 11.40

Applying the same reasoning for the distance from C TO A give us distance CA=9.06

Adding all the distances:

AB + BC + CA = 8 + 11.4 + 9.06

Adding numbers:

= 28.46

Rounding to the nearest whole number:

Total distance= 28 miles