All categories

3 years ago

(4,5) and (11,33) rate of change

Mathematics

2 answers:

Nonamiya [84]3 years ago

8 0

slope = (y2-y1)/(x2-x1)

m = (33-5)/(11-4)

m=28/7

m=4

slope = 4

Marysya12 [62]3 years ago

5 0

Answer:

m = 4

Step-by-step explanation:

The rate of change is also known as the slope of a line.

We can calculate the slope of a line through these 2 points using:

m = $\frac{y2-y1}{x2-x1}$

We plug in the coordinates of our points:

m = $\frac{33 - 5}{11 - 4}$

m = $\frac{28}{7}$

m = 4

You might be interested in

Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .

aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = $r_{0}$ + t.v

where

$r_{0}$ is the position vector;

v is the vector;

For point (7,4,5):

$r_{0}$ = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = $x_{0}$ + at

y = $y_{0}$ + bt

z = $z_{0}$ + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

4 0

3 years ago

Whats its the result Of 25099.506/4.45?

777dan777 [17]

$\dfrac{25099.506}{4.45} \ \text{Divide}$

Shift the decimal points of both 25099.506 and 4.45 to the right by 2 decimal places.

(This is needed to convert 4.45 to 445, since long division must divide by a whole number.)

$\text{Set up the long division.}
$

$\text{Calculate 2509 divided by 445, which is 5 with a remainder of 284.}$

 $\text{ Bring down 9, so that 2849 is large enough to be divided by 445.}$

$\text{Calculate 2849 divided by 445, which is 6 with a remainder of 179.} 
$

$\text{Bring down 5, so that 1795 is large enough to be divided by 445.}$

$\text{Calculate 1795 divided by 445, which is 4 with a remainder of 15.}$

$\text{Bring down 06, so that 1506 is large enough to be divided by 445.
}$

$\text{Calculate 1506 divided by 445, which is 3 with a remainder of 171.}$

$\text{Bring down 0, so that 1710 is large enough to be divided by 445.}$

$\text{Calculate 1710 divided by 445, which is 3 with a remainder of 375.}$

$\text{Bring down 0, so that 3750 is large enough to be divided by 445.}$

$\text{Calculate 3750 divided by 445, which is 8 with a remainder of 190.}$

$\text{Bring down 0, so that 1900 is large enough to be divided by 445.}$

$\text{Calculate 1900 divided by 445, which is 4 with a remainder of 120.}$

$\text{Bring down 0, so that 1200 is large enough to be divided by 445.}$

$\text{Calculate 1200 divided by 445, which is 2 with a remainder of 310.}$

Therefore, 25099.506 ÷ 4.45 ≈ 5640.33842

8 0

3 years ago

Is 1563/25 a rational number

Allushta [10]

Yes it is bc i know:)))

5 0

3 years ago

Read 2 more answers

Major help please !!!!!!!

ExtremeBDS [4]

3 5/9 divided by -2 2/3

change the mixed numbers to improper fractions

3 5/9 = (9*3+5)/9 = 32/9

-2 2/3 = -(3*2+2)/3 = -8/3

32/9 divided by -8/3

copy dot flip

32/9 * -3/8

-96/72

divide top and bottom by 24

-4/3

=-1 1/3

Answer: - 1 1/3

4 0

3 years ago

Hi! What is y = x^2 -4x +5 vertex form? Please explain how you got this answer. Thanks! :)

Anarel [89]

${x}^{2} - 4x + 5 = 0 \\ {x}^{2} - 4x = - 5 \\ \\ { (\frac{b}{2} )}^{2} = ( \frac{ - 4}{2} ) = ( { - 2})^{2} = 4 \\ {x}^{2} - 4x + 4 = - 5 + 4 \\ {(x - 2)}^{2} = - 1 \\ {(x - 2)}^{2} + 1$
The last line is in vertex form, and can see the vertex is located at (2,1).

8 0

3 years ago

Read 2 more answers