How is the time, in hours, related to the number of times 2 is used as a factor

What would be a line perpendicular to (2,3) (5,5)?

ladessa [460]

9514 1404 393

Answer:

3x + 2y = 0 or y = -3/2x

Step-by-step explanation:

The relationship between a line and its perpendicular is that their slopes are opposite reciprocals of each other. So, the thing you need to know about the line through the two given points is its slope. That is found using the slope formula:

m = (y2 -y1)/(x2 -x1) . . . . . . where the two give points are (x1, y1) and (x2, y2)

Putting your point coordinates in this formula gives ...

m = (5 -3)/(5 -2) = 2/3

Then the perpendicular line will have a slope that is the opposite reciprocal:

slope of perpendicular = -1/m = -1/(2/3) = -3/2

You have not said whether the perpendicular line must meet any other requirement, so the simplest one we can write is ...

y = mx + b . . . . . m is the slope and b is the y-intercept

y = -3/2x . . . . . . has a y-intercept of 0 (goes through the origin)

Multiplying by 2 and adding 3x gives ...

3x + 2y = 0 . . . . . standard form equation

_____

Comment on the attachment

The geometry program I used to create the attachment wrote the equation of the line through the given points as ...

2x -3y = -5 . . . . . standard form equation

The equation of a perpendicular line can be created from this form by swapping the x- and y-coefficients and negating one of them. Simply swapping the coefficients would give ...

-3x +2y = <something>

In standard form, we want the leading coefficient to be positive, so we can choose to negate the x-coefficient. The <something> can be zero to make the line go through the origin.

3x +2y = 0 . . . . . a perpendicular in standard form

__

If you need to have the line go through a particular point, you can determine the constant value (on the right of the = sign) by putting the point coordinates in for x and y.

_____

Method summary:

find the slope of the given line
determine its opposite reciprocal to find the slope of the perpendicular line
use that new slope in an appropriate form to have the line go where you want it to go. (Point-Slope Form is often useful)

3 0

3 years ago

1/2 (3/2 y + 1/3) = -1/2 (y- 5/2)

dem82 [27]

1/2 [ (3/2)y + 1/3] = -1/2 [y-5/2]

(3/2)y + 1/3 = -(1/2)y + 3

(3/2 + 1/2)y = 3 - 1/3

2y = 8/3

y = 4/3

y = 1.33

#$#HOPE YOU UNDERSTAND #$#

#$¥THANK YOU ¥$#

❤ ☺ ☺ ☺ ☺ ☺ ☺ ❤ 

5 0

3 years ago

Raul is practicing for baseball tryouts he wants to find how far he can hit a baseball he hits the ball 10 times and measures th

wel

Answer:

See Explanation

Step-by-step explanation:

Given

$n = 10$ --- Number of tryouts

Required

Determine the average distance

This question has missing details, as the distance he hits the ball in each tryout is not given. However, I'll give a general explanation.

The mean is calculated as:

$\bar x = \frac{\sum x}{n}$

$\sum x$ means the sum of the distance in each tryout.

Assume that the distance in the 10 tryouts are: $6, 8, 5, 9, 4, 5, 8, 7, 7, 6.$

So, the mean is:

$\bar x = \frac{6+ 8+ 5+ 9+ 4+ 5+ 8+ 7+ 7+ 6}{10}$

$\bar x = \frac{65}{10}$

$\bar x = 6.5}$

So, the average distance is 6.5

4 0

3 years ago

Read 2 more answers

Which value in the replacement set is a solution to this equation? 2n + 5 = 27 Replacement set: {11, 12, 13} Drag the solution i

Alchen [17]

11 is the answer to your question.

2×11=22

22+5=27

6 0

3 years ago

The growth of a strain of bacteria can be modeled by the function graphed, where the x-values are the time in seconds and the y-

Andrew [12]

There are (A) 2.7 bacterias initially.

<h3>What is a function?</h3>

A function is an expression that establishes the relationship between the dependent and independent variables.
A function from a set X to a set Y allocates exactly one element of Y to each element of X.
The set X is known as the function's domain, while the set Y is known as the function's codomain.
Originally, functions were the idealization of how a variable quantity depends on another quantity.

To find the number of bacteria:

The graph shows that the function follows an exponential curve, and the starting point is at ( 0,2.7 ).
The starting number of bacteria is then 2.7.

Therefore, there are (A) 2.7 bacterias initially.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

The correct question is given below:
The growth of a strain of bacteria can be modeled by

the function graphed, where the x-values are the time

in seconds and the y-values are the number of

bacteria. How many bacteria are there initially?

(A) 2.7

(B) 2.8

(C) 4

3 0

2 years ago