Complete Question:
On a number line, the coordinates of X, Y, Z, and W are −8, −5, 4, and 6, respectively. Find the lengths of the two segments below. Then tell whether they are congruent.
and 
Answer:


They are not congruent
Step-by-step explanation:
Length of segment XY:
Coordinate of X = -8
Coordinate of Y = -5
= |-8 -(-5)| = |-8 + 5| = 3
Length of ZW:
Coordinate of Z = 4
Coordinate of W = 6
= |4 - 6| = 2
≠
, therefore, they are not congruent.
(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.
Answer: D. 41 cm
There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,
a^2+b^2 = (b+1)^2
a^2 + b^2 = b^2 + 2b +1
a^2=2b+1
So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.
b = (a^2 - 1)/2
a=3, b=(3^2-1)/2=4, c=b+1=5
a=5, b=(5^2-1)/2 =12, c = 13
a=7, b=24, c=25
a=9, b=40, c=41
a=11, b=60, c=61
a=13, b=84, c=85
It's good to be able to recognize Pythagorean Triples when we see them.
Otherwise we'd have to work the calculator:
√(9² + 40²) = √1681 = 41
Answer:
Step-by-step explanation:
Forecast for period 1 is 5
Demand For Period 1 is 7
Demand for Period 2 is 9
Forecast can be given by

where





Forecast for Period 3


4.5 thats the answer. Im just typing so its long enough blah blah blah
Answer:
The of depression between the cliff and the boat is 48.74 degrees.
Step-by-step explanation:
We have,
Height of the cliff is 200 foot
Distance of boat from the cliff is 175 feet
It is required to find the angle of depression between the cliff and the boat.
Here, 200 foot is perpendicular distance and 175 is base.
Using trigonometry :

So, the of depression between the cliff and the boat is 48.74 degrees.