3394.4566262639437 i hope this helps thanks very much
The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are sides not opposite to the right angle, shown as a square. C represents the hypotenuse, or side opposite of the right angle
We see that a = 14 (it can also be b; both can be plugged in as both are adjacent and not opposite of the right angle)
c = 19; hypotenuse is opposite of right angle
14^2 + b^2 = 19^2
196 + b^2 = 361
b^2 = 361 - 196
b^2 = 165
b = square root of 165
b = 12.845
x = 12.845
The yogurt can weigh anything above or equal to 4 ounces and less or equal to 6 ounces.
Rate there = x + 11
rate back = x
240/(x) + 240 / (x + 11) = 8
240(1/x + 1/(x + 11)) = 8
Divide by 8
30 (1/x + 1/(x + 11) ) = 1
30 ((x + 11) + x ) / (x + 11)*x = 1
30 (2x + 11) = (x + 11) * x
60x + 330 = x^2 + 11x
x^2 - 49x - 330 = 0
I think you have to use the quadratic on this.
a = 1
b = - 49
c = 330
When you do this you get
x = 55 or
x = - 6. This is an extraneous speed. The car can't be going at - 6 miles/hour
One speed = 55
The other is 55 + 11 = 66
Check
=====
240/55 = 4.36 hours.
240/66 = 3.63 hours
Total = 7.99 hours which rounds to 8. These hours check.
