Cynthia walks 10 miles south and 24 miles east . how far is she from where she started ?

26 miles away

Step-by-step explanation:

1. Drawing out a picture would help you here. I drew one out so you can see how I got started.

2. Use the pythagorean theorem to solve for x (total distance from starting point).

10^2 + 24^2 = x^2

100 + 576 = x^2

676 = x^2

[Take the square root of both sides]

x = 26 miles

I hope this helps!

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

the answer is a. 72. but i cant answer with less than 20 characters so here's some random text talking about it.