Answer:
<em>The values are a=6, b=8</em>
Step-by-step explanation:
<u>System of Equations</u>
We are given the system of equations:
ax - by = 4
bx - ay = 10
And it's known the solutions are: x=2, y=1.
Plugging in the solutions:
2a - b = 4 [1]
2b - a = 10 [2]
Now we have to solve the system above. Multiply [1] by 2:
4a - 2b = 8
Now we add with [2]:
3a = 18
a = 18/3 = 6
a = 6
From [2]:
2b - 6 = 10
2b = 16
b = 16/2 = 8
b = 8
The values are a=6, b=8
Let's write an equation describing the problem.
Any even whole number may be represented by writing

in which

is any non-negative integer.
It follows that for a even whole number

the next (consecutive) even whole number can be written as

.
We now need to solve the following equation:

If we solve for

we get:

We have to values, as the equation is quadratic. We take the positive one as the correct one. So

, and if we plug in this value to

and

we know that the
asnwer is 16 and 18.
Answer:
Step-by-step explanation:
tan(G) = 28.2/45.8
G = arctan(28.2/45.8) = 31.6°
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