Answer:


Step-by-step explanation:
Given
The attached triangle
Required
Solve for x
Considering angle 45 degrees, we have:
--- cosine formula i.e. adj/hyp
Solve for y

In radical form, we have:



To solve for x, we make use of Pythagoras theorem


Substitute for y


Collect like terms


Solve for x

Answer: D
Step-by-step explanation:
all possible rational zeros are the factors of the last term divided by the coefficient of the first term
so it's (±1, ±3, ±9) / (±1, ±2)
(±1, ±3, ±9) / ±1 = ±1, ±3, ±9
(±1, ±3, ±9) / ±2 = ±1/2, ±3/2, ±9/2
--> ±1, ±3, ±9, ±1/2, ±3/2, ±9/2
the answer to 35 divided by 7,140=490196078
n(AxB) = 25
Step-by-step explanation:
AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.
Given
A = {a,b,c,d,e}
B = {1,2,3,4,5}
The number of elements for Cartesian product of two sets is determined by:

Here

So,

Hence,
n(AxB) = 25
Keywords: Sets, Cartesian Product
Learn more about sets at:
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