Answer:
True
Step-by-step explanation:
The slope is the ratio of rise to run for any two points on a line.
The rise is the change in vertical axis, y
Rise = y2 - y1
The run is the change in the horizontal axis, x
Run = x2 - x1
Slope is the ratio of both:
Rise / Run = (y2 - y1) / (x2 - x1)
Answer: 
, or ~23.07%
Step-by-step explanation:
There are 52 cards in your average deck.
For this question, you need the numbers of the cards in the deck. There are four of each number from 2 through 10, and four aces, jacks, queens, and kings.
Considering there are four 6s, four 7s, and four 8s, there are 12 cards that fit the description.
Divide 12 by the total number of cards in the deck, 52, to get your answer.
Answer:
81 cm²
Step-by-step explanation:
Since, the lateral face of a triangular pyramid is a triangle,
Given,
The base edge or the base of one lateral face of pyramid, a = 6 cm,
And, the slant height or the height of the face, k = 9 cm,
Thus, the area of one lateral face of the pyramid,
We know that, a Regular triangular pyramid has 3 lateral faces,
Hence, the total lateral area of the pyramid,
Answer:
Part A:
The graph passes through (0,2) (1,3) (2,4).
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2
Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.
Since the slope is constant (the same) everywhere, the function is linear.
Part B:
A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.
An example is y=2x-3
A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3
A non-linear function contains at least one of the following,
*Product of x and y
*Trigonometric function
*Exponential functions
*Logarithmic functions
*A degree which is not equal to 1 or 0.
An example is...xy= 1 or y= sqrt. x
An example of a linear function is 1/3x = y - 3
An example of a non-linear function is y= 2/3x
Alright so lets start with an arbitrary amount of students. Just to help us visualize the problem.
Say, 100 students for the first year when it was founded?
So far,
1996 - 100 students
From 96' to 97', it doubles. So:
1996 - 100 students
1997 - 200 students
From 97' to 98', it doubles AGAIN.
1996 - 100 students
1997 - 200 students
1998 - 400 students
So, what the percentage increase from 100, to 400?
Well, 100 x 4 gives us 400, so it's a 400 percent increase.
