Csc(x) = 1/sin(x)
sec(x) = 1/cos(x)
cot(x) = [1/sin(x)] / [1/cos(x)]
cot(x) = 1/sin(x) * cos(x)/1
cot(x) = cos(x) / sin(x)
cot(x) = cot(x)
A. The smaller the number, the wider the graph. That equation had the smallest number, so therefore it will produce the widest graph.
So they tell you to let x represent the cost of Deandra's sofa. So since Selena's sofa costs 30 dollars LESS than HALF the cost of Deandra's, we know we have to divide by 2 and subtract 30.
The equation would be x/2-30. (B)
Answer: y = -2x + 7
Step-by-step explanation:
Slope intercept form is the same as solving for y in the equation .
So solve for y and it will be in slope intercept form.
12 - y = 2x + 5 Subtract 12 from both sides
-12 -12
-y = 2x -7 Now divide both sides by -1
y = -2x + 7
Answer:
Advance ticket costs $25
Same-day ticket costs $20
Step-by-step explanation:
Let x = the price of one the advance ticket.
Let y = the price of one same-day ticket.
The combined cost of one advance ticket and one same-day ticket is $ 45. This means
x + y = 45 - - - - - - 1
For one performance, 30 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $ 1150. This means
30x + 20y = 1150 - - - - - - - - -2
From equation 1, x = 45- y
Put x = 45- y in equation 2
30( 45-y) + 20y = 1150
1350 - 30y + 20y = 1150
-10y = 1150-1350
-10y = -200
y = 200/10 = $20
x = 45-y
x =45-20= $25
Advance ticket costs $25
Same-day ticket costs $20