Paul lives 6 miles west and 3 miles north of school. what is the direct distance from paul's house to school?

9 miles
4.5 miles
6.7 miles
10.5 miles

The correct answer is A) 4.5 miles. Reason being, when he walks around it is 9 miles. When he walks DIRECTLY from his house to school, it is 4.5 miles.
Hope this helps!

It's (C) 6.7

a^2 + b^2 = c^2  

so 6^2 + 3^2 = c^2  

so 36 + 9 = c^2  

so 45 = c^2  

so the distance will be equal to to the square root of 45 which is about 6.7 miles.

The part of the quadratic formula that dictates whether the function is factorable or not is B. b^2 - 4ac. This determines the number of real, imaginary, negative and positive roots. 
In the equation 2x^2 + 7x + 3, 
we use the quadratic formula 
x = -b +- sqrt (b2 -4ac) /2a = -7 +- sqrt (49 -24) /4
the answers are x1 =-0.5 and x2 = -3.