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3 years ago

How do i find slope from a graph

Mathematics

2 answers:

gulaghasi [49]3 years ago

7 0

Answer:

Step 1:

Plot and label 2 points on the line, anywhere on the line of course. Remember that the slope of a line never changes, so you can choose whatever 2 points on the graph you want and you will always get the same slope.

Step 2:

Calculate the rise and run (It is easier to draw it on the graph in my opinion)

Step 3:

Use the slope formula.

As an example, lets say the slop is 2/4, which you can simplify it down to 1/2 to make it easier of course.

Hope this helps!

Nonamiya [84]3 years ago

3 0

Answer:

If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units). Does this help?

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The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the

Vera_Pavlovna [14]

Given parameters:

Midpoint of AB = M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

$x_{m} = \frac{x_{1} + x_{2} }{2}$ and $y_{m} = \frac{y_{1} + y_{2} }{2}$

where $x_{m}$ and $y_{m}$ = coordinates of the mid points = 3 and -1

x₁ = 5 and y₁ = 1

x₂ = ? and y₂ = ?

Now let us input the variables and solve,

3 = $\frac{5 + x_{2} }{2}$ and -1 = $\frac{1 + y_{2} }{2}$

5 + x₂ = 6 -2 = 1 + y₂

x₂ = 1 y₂ = -2 -1 = -3

The coordinates of B = 1, -3

6 0

4 years ago

Find a power series representation of e^x sin(x)

liberstina [14]

The Taylor series is defined by:
$f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n$

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
$f^n (x) = e^x g^{n-1} (x) + e^x g^n (x) \\ g^0 (x) = sin x$

Do this successively to n = 6.
$f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x) \\ f^3 (x) = e^x(2cos x - 2sin x) \\ f^4 (x) = e^x (-4 sin x) \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)$

Plug in x=0 and sub into taylor series:
$e^x sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...$

If more terms are needed simply continue the recursive derivative formula and add to taylor series.

6 0

4 years ago

2a-2,2a+2,6a-2 ans. 1) -3 2) -2 3) 2 4) 3

Gala2k [10]

Answer:

the answer is 3 because 2a-2a+6a-2+2+2

2a-2a=0

6a-2+2+2=

6a-6

a= 3

8 0

3 years ago

A top swimmer would be able to swim across a 25-meter pool in about 1/5

Anni [7]

Answer:

125 m/min

Step-by-step explanation:

Find the rate (speed) as follows:

25 meters

--------------------- = (125/1) meters/min = 125 m/min

(1/5) minute

This is equivalent to about 380 ft/min

7 0

3 years ago

In a particular game of chance, a wheel consists of 42 slots numbered 00, 0, 1, 2,...,40. To play the game, a metal ball is

Nikolay [14]

Answer:

The sample space for one spin of this game is: S = {00, 0, 1, 2, 3,…, 40}

Step-by-step explanation:

Consider the provided information.

In probability theory, the set of all possible outcomes or outcomes of that experiment is the sample space of an experiment or random trial. Using set notation, a sample space is usually denoted and the possible ordered outcomes are identified as elements in the set.

Here the possible number of elements in the set are 00, 0, 1, 2,...,40

The sample space is anything the ball can land on.

Thus, the sample space for one spin of this game is: S = {00, 0, 1, 2, 3,…, 40}

6 0

4 years ago