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1 answer:
Answer:
Step-by-step explanation:
- The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
- The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
- We can get the length of the longest side of the bottom triangle is 9×2÷√3 =
- And based on the theory shown on the 2nd step, we can get x (the length of the longest side of the upper triangle) is
x√2
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Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
2. c = 47,000 × n, where c is the cost of n number of bears.
3. a) The cost to ride 5 rides = $20.50, the cost to ride 8 rides = $28.00
The equation for the pattern, C(x) = 15.50 + 2.50 (r - 3), where C is the cost and r is the number of rides.
b) The cost to ride 12 rides = $36.00.
Step-by-step explanation:
Step 1; To find the cost of one bear, we divide the cost of bears by the number.
If 4 bears cost $188,000, 1 bear costs = = $47,000.
If 7 bears cost $329,000, 1 bear costs = = $47,000.
So the equation is c = 47,000 × n, where c is the cost to buy n bears.
Step 2; For every additional ride, the price increases by $2.50. So the equation for the pattern is C(x) = 13.50 + 2.50 (x - 3).
When the number of rides is 5, C(5) = 15.50 + 2.50 (5-3) = 15.50 + 2.50 (2) = 15.50 + 5.0 = $20.50.
When the number of rides is 8, C(8) = 15.50 + 2.50 (8-3) = 15.50 + 2.50 (5) = 15.50 + 12.50 = $28.00.
When the number of rides is 12, C(12) = 15.50 + 2.50 (12-3) = 15.50 + 2.50 (9) = 13.50 + 22.5 = $36.00.