Write an equation of the passing through point p that is perpendicular to the given line .p(3,1) y= 1/3x -5

Answers

Answer 1
Answer:

Answer:

y = -3x + 10

Step-by-step explanation:

slope of perpendicular line = -3

y-1 = -3(x-3)

y-1 = -3x + 9

y = -3x + 9 + 1

y = -3x + 10

Answer 2
Answer: the answer is y=-3x+10! :)

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Write an equation that represents the line.
Use exact numbers

Answers

y=2/3x+2/3 bc slope is 2/3 and 4-2/4-1=2/3

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hi .................

A traveler has 8 pieces of luggage. How many ways can he select 4 pieces of luggage for a trip

Answers

He can select it in 32 ways

Answer:36

Step-by-step explanation:

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. If required, enter negative values as negative numbers.
Line Speed Devective number
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11

a. Select a scatter diagram with the line speed as the independent variable.b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

Answers

Answer:

Here's what I get  

Step-by-step explanation:

(a) Scatter diagram

The scatter diagram is the figure below.

(b) Interpretation

The scatter diagram shows there is a linear relationship between the variables.

The defective number decreases as the line speed increases.

The inspectors miss more faulty parts when the line speed increases, so they report fewer of them.

A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g, is proportional to the number of seconds, t, that the water is running. Select all the equations that represent the relationship between g and t. A g= 0.4t
B t= 0.4G
C g=2.5t
D t=2.5g
E g= 2/5 t

Answers

The correct options are (A), (D) and (E).

What is a linear equation?

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

Given that,

The time taken to fill 2 gallon bucket is 5 seconds.

Suppose the number of gallons be g.

And, the time in seconds is t.

The given options are considered one by one for the given case as,

(A) g = 0.4 t

Substitute g = 2 and t =5 in the above expression to get,

LHS = 2

RHS = 0.4 × 5

       = 2

Since LHS = RHS, the given option represent the proportional relationship.

(B) t= 0.4g

Substitute g = 2 and t =5 in the above expression to get,

LHS = 5

RHS = 0.4 × 2

       = 0.8

Since LHS ≠ RHS, the given option does not represent the proportional relationship.

(C) g=2.5t

Substitute g = 2 and t =5 in the above expression to get,

LHS = 2

RHS = 2.5 × 5

       = 12.5

Since LHS ≠ RHS, the given option does not represent the proportional relationship.

(D)  t = 2.5g

Substitute g = 2 and t =5 in the above expression to get,

LHS = 5

RHS = 2.5 × 2

       = 5

Since LHS = RHS, the given option represents the proportional relationship.

(E)  g= 2/5 t

Substitute g = 2 and t =5 in the above expression to get,

LHS = 2

RHS = 2/5 × 5

       = 2

Since LHS = RHS, the given option represents the proportional relationship.

Hence, the correct relationship is represented by options (A), (D) and (E).

To know more about linear equation click on,

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Answer:

I beleive it should be

A. g = 0.4t

And

D. t = 2.5g

Sorry if i'm wrong though! Let me know if is correct!

What is the additive inverse of the complex number 9-4i?

Answers

Answer:

(1)/(9 - 4i)

I'm not sure