Answer:
65 adult tickets and 135 student tickets were sold.
Step-by-step explanation:
4s + 6a = 930
s + a = 200
s = -a + 200
4(-a + 200) + 6a = 930
-4a + 800 + 6a = 930
2a + 800 = 930
2a = 130
a = 65
There were 65 adult tickets sold.
200 - 65 = 135
There were 135 student tickets sold.
Check:
4(135) + 6(65) = 930
540 + 390 = 930
930 = 930
Answer:
D)
Step-by-step explanation:
sec(x) = 1/cos(x)
You know cos(x) = 1 for x=0, so sec(0) = 1.
You also know that sec(x) has vertical asymptotes where cos(x) = 0, at odd multiples of π/2. Only selection D matchest these characteristics.
Answer:
It is 6 because the absolute value of a number is always positive so the absolute value of -6 is 6
Step-by-step explanation:
Answer:
The gradient of the line segment between the two points is -1
Step-by-step explanation:
The gradient of the line segment between two points is also known as the slope,
We can find this by using the formula; y₂ - y₁ / x₂ - x₁
The points given to us are;(-1,2) and (-2,3).
This implies x₁ = -1 , y₁=2 x₂ = -2 y₂= 3
We can now proceed to insert our values into the formula;
Gradient = y₂ - y₁ / x₂ - x₁
= 3 - 2 / -2-(-1)
= 1 / -2 + 1
=1/-1
Gradient = -1
Therefore the gradient of the line segment between the two points is -1
