Step-by-step explanation:
½ [cos(a − b) − cos(a + b)]
Using sum and difference formulas:
½ [cos a cos b + sin a sin b − (cos a cos b − sin a sin b)]
Distribute the negative:
½ (cos a cos b + sin a sin b − cos a cos b + sin a sin b)
Combine like terms:
½ (2 sin a sin b)
Simplify:
sin a sin b
The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4
Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1
Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
Answer:
no
Step-by-step explanation:
315x4= 4410. Therefore, if an album holds 500 cards, she would need 9 albums.
A Non-example is like there we not enough to grapha
