Answer:
y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6.
Answer: the price of a senior citizen's ticket is $8.
the price of a child's ticket is $14
Step-by-step explanation:
Let x represent the price of a senior citizen's ticket.
Let y represent the price of a child's ticket.
On the first day of ticket sales, the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. It means that
3x + y = 38- - - - - - - - - - - -1
The school took in $52 on the second day by selling 3 senior citizen and 2 child tickets. It means that
3x + 2y = 52- - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- y = - 14
y = 14
Substituting y = 14 into equation 1, it becomes
3x + 14 = 38
3x = 38 - 14 = 24
x = 24/3
x = 8
Answer:
There are a total of 360° in any given circle, so an arc swept out by 60° of that 360° would make up 60/360 = 1/6 of the circle's circumference.
The formal for the circumference of a circle comes out of the definition of one of the most famous constants in mathematics: π. π is defined as the ratio between a circle's circumference and its diameter, or:
From this definition, we can multiply both sides of the equation by d to obtain
or, circumference is π times the diameter. To find the diameter, we just need to double the radius, giving us 5 * 2 = 10cm. Usually you'll see π approximated as 3.14, which is likely what they want you to use here. Using that approximation, we find the circumference to be 3.14 * 10 = 31.4 cm.
Finally, to get the length of that arc, we just need to take 1/6 of the circumference (since the arc sweeps out 1/6 of the circle), giving us 31.4 * 1/6 ≈ 5.2 cm.
Step-by-step explanation:
Answer:
The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle.
Step-by-step explanation:
In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle.
A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.
