Answer:
Step-by-step explanation:
By the Pythagorean theorem, triangle BCD has
and triangle ABD has
.
Substituting the first equation into the second equation for 
gives the equation
Now triangle ABC has
Expanding out the left side, 
.
Now substitute the equation from before, 
, into the new equation.
We work to isolate 
by adding 
to both sides of equation and subtracting 
from both sides.
Divide both sides by 2 and you get 
Assume that x is positive and square root both sides to get the final result of
Answer:
y=-(x-2)^2+9
Step-by-step explanation:
Hope this helps
Memorize the side ratios of a 45-45-90 right triangle.
The ratio between the sides of this triangle is 1:1:Sqrt(2), which means that the length of the legs are equal, and the length of the hypotenuse is simply the leg length multiplied by the square root of two.
Answer:
x = 1
Step-by-step explanation:
x = ln (e)
We know that the natural log and the exponential function are opposites
They cancel out and leave 1
x =1
