You will use the Pythagorean Theorem to find the length of the walkway.
A diagonal across creates 2 congruent triangles which are right triangles.
a^2 + b^2 = c^2
12^2 + 9^2 = c^2
144 + 81 = c^2
225 = c^2; find the square root of 225
c = 15 meters
The length of the walkway is 15 meters.
There are 125,000 possible combinations.
For each number, there are 50 possible to choose from. 50 right * 50 left * 50 right = 125,000 total.
Answer: D
Step-by-step explanation:
y= -4x
y = mx + b
m = -4
If you start on (0, 0), you'd go down 4 and to the right one, so then you'd have another point at (1, -4).
Binomial theory : ( a - b ) ^3 = a^3 - 3a^2b + 3ab^2 - b^3 ;
Then, ( 2y - 3x ) ^3 = 8y^3 - 36y^2x + 54yx^2 - 27x^3
The end behavior of the parent function is consistent.
As x approaches infinity, the y-values slowly get larger, approaching infinity. As x approaches 0 from the right (denoted as x → 0+), the y-values approach negative infinity.