5 subtract 1 and one eighth is 3 and seven eighths
3 7/8
Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
Come now ! I'm sure you could unravel it if you look at it and think about it
for a minute or two.
What's an angle bisector ? It's a line that splits an angle exactly in half.
The two little angles on each side of it are EQUAL. Each of them is exactly
half of the big angle.
So in this drawing, (3/2 x - 6) is equal to (1/4 x + 4) .
Do you think you could find 'x' ?
3/2 x - 6 = 1/4 x + 4
Add 6 to each side of the equation: 3/2 x = 1/4 x + 10
Multiply each side by 4 : 6 x = x + 40
Subtract 'x' from each side: 5 x = 40
Divide each side by 5 : x = 8
Angle CBD is 1/4 x + 4 . That's 1/4 (8) + 4 = 2 + 4 = <u>6 degrees </u>
Answer: -2v-20
Step-by-step explanation: -2 times v is -2v
and -10 times -2 is -20.
