Y = 2^x and y = log₂x
Exponents and logs (to the same base = 2) are inverses of each other.
All inverse functions are symmetric about line y = x
y = log₂x is NOT the logarithmic form of y = 2^x
The logarithmic form of y = 2^x is x = log₂y (NOT y = log₂x)
Answer: A, C
Answer:
The answer is below
Step-by-step explanation:
Transformation s the movement of a point from its initial location to a new location. If an object is transformed, the all its points are also transformed. Types of transformation are rotation, reflection, translation and dilation.
Two shapes are congruet if they have the same shape and size, two objects are congruent if they can be moved without changing their shape or size. Congruent transformations are transformation that create congruent objects. The three types are:
- Translation: sliding an object either up, down, left or right.
- Reflection: Flipping an object over a line
- Rotation: turning an object about a point
Answer:
-1/5
Step-by-step explanation:
Perpendicular lines have slopes that are the opposite reciprocal of one another.
The slope of line t is the opposite reciprocal of the slope of line s:
slope of t = -1/(slope of s)
slope of t = -1/5
So, there is a rectangular park with longer side (length) 150 yards and shorter side (width) 125 yards.
so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.
So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
= 2 ( 150 + 125 )
= 2 * 275
= 550 yards
Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.
i.e. Debbie walked 2 * Perimeter
= 2 * 550
= 1100 yards
Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the rectangular park (1,000,000 / the Perimeter of the park)
i.e. 1,000,000 / 550
= 1818.18 times
So,
(a) she walks 1100 yards
(b) She have to walk 1818.18 times
