Answer:
d = 13
Step-by-step explanation:
We are given the points (-1, 4) and (4, -8), and we want to find the distance between these two points.
The distance can be found using the formula [tex]\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex], where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points.
Even though we already have two points, let's label the values of the points to avoid any confusion and mistakes while calculating.
[tex]x_1=-1\\y_1=4\\x_2=4\\y_2=-8[/tex]
We can substitute our values into the distance formula to find the distance.
d=[tex]\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
d=[tex]\sqrt{(4--1)^2+ (-8-4)^2}[/tex]
Simplify what is going on in the parentheses.
d=[tex]\sqrt{(4+1)^2+ (-8-4)^2}[/tex]
Add (or subtract) the values.
d=[tex]\sqrt{(5)^2+ (-12)^2}[/tex]
Raise 5 and -12 to the second power.
d = [tex]\sqrt{25+ 144}[/tex]
Add 25 and 144 together.
d = [tex]\sqrt{169}[/tex]
Take the square root of 169.
d = 13
The distance is 13.
Topic: Distance between two points
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