X = 12
Use the Pythagorean Theorem.
13^2 = 5^2 + x^2
169 = 25 + x^2
Subtract 25 from both sides.
144 = x^2
Take the square root.
12 = x
Answer:
2xm
Step-by-step explanation:
Work backwards with pythagoras' theorem:
c^2=a^2+b^2
Here, a and b both equal to x. Therefore, you can write this as 8^2=2x^2. So 64=2x^2. Sqrt on both sides to give you 8=2x, hence x=4. However I must warn you that this working out may have a flaw, as I found that x actually equals to 5.66
D = vt
Distance traveled by train
d = 55t
Distance traveled by plane
d = 285t
Total distance
d = 1020
So, you do:
distance traveled by plane + distance traveled by train = total distance
(55t) + (285t) = 1020
Solve for t
t = 3 hours
t is the time traveled by each so 3 hrs traveled by train and 3 hrs traveled by plane
Total time = 3 + 3 = 6 hours
Answer:
x^2-3x-3=0
Step-by-step explanation:
x^2=3x+3
x^2-3x-3=0
