Answer:
the first car has 15 passengers and the second has 10
Step-by-step explanation:
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
A
Step-by-step explanation:
In this function, the domain, or the x value, has no limits. You can substitue any value of x into (x^2-4) and any result is valid.
I hope this helped!
Answer:
Step-by-step explanation:
The common difference (d) can be found using the first and 4th terms:
a1 = 3
a4 = a1 +d(4 -1)
-9 = 3 +3d . . . . . simplify
-3 = 1 + d . . . . . . divide by 3
-4 = d . . . . . . . . . subtract 1
Then ...
x = a1 + d = 3 -4 = -1
y = x + d = -1 -4 = -5
The values of x and y are -1 and -5, respectively.
Answer:
2 t-shirts ; 1 collar shirt
Step-by-step explanation:
We need to first obtain the ratio of T - shirts to collar shirts :
T - shirts = 10
Collar shirts = 5
Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1
Hence, using the ratio obtained ; if Jake buys 3 new shirts :
Number of T-shirts :
(Ratio of t-shirts / total ratio) * new t-shirts
2/3 * 3 = 2 t-shirts
Collar shirts :
1/3 * 3 = 1
2 t-shirts ; 1 collar shirt
