The set is the set of all values of
that are solutions to the given equation. So all you need to do is check whether
and
satisfy the equation.
The equation holds, so both 1 and 2 are solutions, and hence is a subset of the solutions.
Geometry. What is the measure of segment x rounded to the nearest hundredths place? Check picture below also.
2 answers:
Answer:
D. 21 ft
Step-by-step explanation:
We need to use Power of Points, which basically says that for intersecting chords in a circle (see attachment), a * b = c * d.
Here, we can say that a = x, b = 6, c = 7, and d = 18. Then, we have the equation:
ab = cd
x * 6 = 7 * 18
6x = 126
x = 21
Thus, x is 21 ft.
Hope this helps!
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Answer:
Admission fee charged = $3
Cost of each ride = $10
Step-by-step explanation:
Let admission fee charged by amusement park in dollars be =
Let cost of each ride in dollars be =
Given:
Admission plus four rides cost $22
If each ride cost in dollars =
Cost of 4 rides in dollars will be =
So, the total cost in dollars will be given as =
So, we have
Admission plus seven ride cost $31.
If each ride cost in dollars =
Cost of 7 rides in dollars will be =
So, the total cost in dollars will be given as =
So, we have
So, we have the system of equation as:
A)
B)
Solving the system by elimination method.
Eliminating by subtracting equation A from B.
-
- - - [Sign of each term of subtract-ant gets reversed]
-----------------------------
Dividing both sides by 3.
∴
Plugging in in equation A.
Subtracting both sides by 12.
∴
Thus, admission fee charged = $3
Cost of each ride = $10