The function and the inverse of the function are reflections across the line y = x. How are the graphs of a function and its inverse related? The graph of an inverse of a function f -1(x) is the reflection of the graph of the function f(x) across the line y = x.
Answer:
The length of the other leg is 1 cm.
Step-by-step explanation:
By using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
As given
If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm.
Let us assume that the unknown length be x.
Thus
2² = Perpendicular² + Base²
4 = 3 + x²
x² = 4 -3
x = 1 cm
Therefore the length of the other leg is 1 cm.
Answer:
Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times. The symbol // is used to denote parallel lines.
how to prove that two lines are equal: If two lines are cut by a transversal and the alternate exterior angles are equal, then the two lines are parallel. Angles can be equal or congruent; you can replace the word "equal" in both theorems with "congruent" without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel. therefore the answer is E. The two lines are everywhere equidistant.
This is the the concept of trigonometry, to get the sine value of the the function given we shall proceed as follows;
Using Pythagorean theorem, the hypotenuse of the triangle will be found as follows;
The side length will be 8 units since the y-coordinate is -8
The side width will be 3 units since the x- coordinate is 3
c^2=a^2+b^2
c^2=(3)^2+(-8)^2
c^2=9+64
c^2=73
c=sqrt(73)
Therefore the sine value will be:
sin x=3/sqrt(73)
multiply both numerator and denominator by sqrt(73) we get:
sin x=(3√73)/73
Therefore the answer is A]