Answer: idk how to explain but I learned about tectonic plates and from this picture the boundaries are sliding past each other
Step-by-step explan
You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.
x² + (p+1)x = 5-2p
x² + (p+1)x +(2p-5) =0
Real roots mean a positive (or at least non-negative) discriminant:
D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20
D = p² - 6p + 21
It's not totally obvious that D>0; we prove that by completing the square by noting
(p-3)² = p² - 6p + 9
so
p² - 6p = (p-3)² - 9.
D = p² - 6p + 21
D = (p-3)² - 9 + 21
D = (p-3)² + 12
Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.
Answer:
900 meters
Step-by-step explanation:
There are about 3 feet in a meter, so to find the answer you have to add up all the meters he swam and then multiply it by that.
So the equations will be: 100+200=300, 300x3=900.
Hope you get an A! <3
IF EC = 8, than we know for sure that the length of AC would be 2 x 8 = 16
The formula to use in determining Rhombus area is
A = (AC . DB)/2 , so the value x could be found with this equation :
72 = 16 (x-1) / 2
72 = (16x -16) /2
72 = 8x - 8
80 = 8x
x = 10
26 square root 5 plus 2 square root 10
