Answer:
x=20
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse.
The legs are x and 15 and the hypotenuse is 25
x^2 + 15^2 = 25^2
x^2 +225 = 625
Subtract 225 from each side
x^2 +225-225 = 625-225
x^2 = 400
Take the square root of each side
sqrt(x^2) = sqrt(400)
x = 20
Simply divide 3 by 0.7,
Or ≈ 4.28571 which is ≈ 4 years.
Answer:
Both are irrational
Step-by-step explanation:
is a trick as it does simplify to , but that is irrational
Answer: a)
Step-by-step explanation:
Since we have given that
a.) Find the inverse of f(x) and name it g(x).
Let f(x) = y
So, it becomes
Switching x to y , we get
b) . Use composition to show that f(x) and g(x) are inverses of each other.
Similarly,
so, both are inverses of each other.
c) Draw the graphs of f(x) and g(x) on the same coordinate plane.
As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x
And both f(x) and g(x) are symmetry to y=x.
∴ f(x) and g(x) are inverses of each other.
Answer:
y=0
Step-by-step explanation:
Simplifying
y + y = 0
Combine like terms: y + y = 2y
2y = 0
Solving
2y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '2'.
y = 0
Simplifying
y = 0