By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
16 ounces are in a pound.
Answer:
-2x+3y =1.......(1)
y=3x-9........(2)
Now,
putting the value of y in equation (1),
-2x+3(3x-9)=1
or,-2x+9x-27=1
or,7x-27=1
or,7x=28
x= 4
Now putting the value of X in equation (2),
y=3×4-9
= 12-9
=3
(x,y)=(4,3)
Answer:
x≈3.35, or the square root of 11.
Step-by-step explanation:
Use the pythagorian therom. 3²+1.5²=x²
(Half of 3 is 1.5 and the line splits it in half)