Answer:
7 to the right
Step-by-step explanation:
Step-by-step explanation:
Let the 1st number be x
2nd number = x + 2
3rd number = x + 4
4th number = x + 6
5th number = x + 8
x + x + 2 + x + 4 + x + 6 + x + 8 = 20
5x + 20 = 20
5x = 20 - 20
5x = 0
x = 0 ÷ 5
x = 0
The 5 consecutive integers are
0, 2, 4, 6, 8
Simple...
you have:
and
Now, the first one is easy just divide it...
Now....
needs to be converted...
Multiply the whole number*denominator...
4*8=32
Now add the numerator....
32+3=35
Now use the original denominator...
Now divide...
Thus, your answer.
Solve for x:
x^9 = n x
Subtract n x from both sides:
x^9 - n x = 0
Factor x and constant terms from the left hand side:
-x (n - x^8) = 0
Multiply both sides by -1:
x (n - x^8) = 0
Split into two equations:
x = 0 or n - x^8 = 0
Subtract n from both sides:
x = 0 or -x^8 = -n
Multiply both sides by -1:
x = 0 or x^8 = n
Taking 8^th roots gives n^(1/8) times the 8^th roots of unity:
Answer: x = 0 or x = -n^(1/8) or x = -i n^(1/8) or x = i n^(1/8) or x = n^(1/8) or x = -(-1)^(1/4) n^(1/8) or x = (-1)^(1/4) n^(1/8) or x = -(-1)^(3/4) n^(1/8) or x = (-1)^(3/4) n^(1/8)
Hello from MrBillDoesMath!
Answer:
sin(A) = k/c
sin(C) = k/a
Discussion:
By definition of sine
,
sin(A) = side opposite angle / hypotenuse = k/c
sin(C) = side opposite angle/ hypotenuse = k/a
Added remark:
From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.
asin(C) = csin(A) => divide both sides by "ac"
sin(C)/ c = sin(A)/a
Which is the law of sines for a triangle.
Thank you,
MrB
