In a cartesian plane, there are two axes, the x and y axes. The independent component of the graph is the x - component or the value of the abscissas. Moreover, the dependent variable of the graph is in the y-axis or in the ordinates.
Okay, first let's look at what they give us!
The measure of angle 2 is 3x + 1
Measure of angle 3 is 2x + 4
And they give us that one angle is right which means it is 90°
Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:
3x + 1 + 2x + 4 + 90 = 180
First we will add together liked terms!
3x + 2x = 5x
1 + 4 + 90 = 95
This gets us:
5x + 95 = 180
Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:
5x = 85
Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:
x = 17
Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!
3(17) + 1
51 + 2 to get us 52!
Answer: 52
Total number of seats = 5
Total number of friends = 5
We want to find in how many ways the 5 friends can sit or be arranged in 5 seats. This can be found using permutations.So we are to find the permutations of 5 objects taken 5 at a time. This can be expressed as 5P5.
5P5 = 120
So, the 5 friends can sit in 120 different ways.
The correct answer is option D
Answer:
(a) The temperature at a specific location as a function of time.
This is a continuous function as the temperature cannot increase in an instant like time.
(b) The temperature at a specific time as a function of the distance due west from New York City.
This is a continuous function as the temperature in one location is affected by its neighboring places.
(c) The altitude above sea level as a function of the distance due west from New York City.
The altitude above sea level can be discontinuous at a cliff, or continuous at very deep hole.
(d) The cost of a taxi ride as a function of the distance traveled.
This is a discontinuous function as the cost still raises if you make a stop.
(e) The current in the circuit for the lights in a room as a function of time.
This is a discontinuous function as the function takes the value of 0 when the switch is off and 1 when the switch is on.
The electron traveling speed makes this discontinuous.
