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Komok [63]
4 years ago
13

Find the equation of a line that is PERPENDICULAR to y = 1/3 x -2 & passes through the point ( 3, 2 ). (CHECK PIC FOR ANSWER

CHOICES)

Mathematics
1 answer:
densk [106]4 years ago
3 0

Answer:

The answer to your question is the letter b)    y = -3x + 11

Step-by-step explanation:

Data

Original line  y = 1/3x - 2

Point = (3, 2)

New line = ? (perpendicular)

Process

1.- Get the slope of the original line

The slope is the coefficient of the x in the line equation.

       y = 1/3x - 2

       slope = m = 1/3

2.- Find the slope of the new line

       new slope = -3  (because the lines are perpendicular)

3.- Find the equation of the new line

         y - y1 = m(x - x1)

 x1 = 3    y1 = 2

-Substitution

        y - 2 = -3(x - 3)

-Simplification

        y - 2 = -3x + 9

        y = -3x + 9 + 2

-Result

       y = -3x + 11

         

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Answer:

10 ft cubed

Step-by-step explanation:

The volume of a pyramid is 1/3 the volume of a prism with the same base area & height.

30/3=10

3 0
3 years ago
Plz help! I am so confused and we only just started learning this
nexus9112 [7]
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3 years ago
Please need help thank
babymother [125]

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3 0
3 years ago
Mr. Park pays $1000 per month in rent. Before depositing his paycheck, his checking account balance was $359.47. After the depos
IrinaVladis [17]

Answer:

Mr Park has enough money to pay his rent.

Step-by-step explanation:

The amount of the monthly rent paid  = $1000

The account balance after depositing the paycheck = $1441.33

Now, to pay the rent,account should have more than the rent money $1000

Also, $1441.33  >  $1000

⇒ The amount in the bank after depositing the paycheck   >  The rent to be paid

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6 0
3 years ago
Help needed I need the answer with work shown for the graphs
andreyandreev [35.5K]

top left: speed = 2.7 miles per hour  = 2.7 MPH

top right: speed = 0 miles per hour  = 0 MPH

bottom left: speed = 4 miles per hour  = 4 mi/h

bottom right: speed = 2 miles per hour  = 2 mi/h

and so, the fastest is bottom left. And pay attention in class! i'm in highschool and Iearned this in 6th grade!

Step-by-step explanation:

key: speed= distance/time

distance= speedxtime

time=distance/speed

top left: 8/3= 2.66667 MPH= 2.7 MPH

top right: 0/8= 0 MPH= 0 MPH

bottom left: 8/2= 4 MPH= 4 MPH

bottom right: 8/4= 2 MPH= 2 MPH

6 0
4 years ago
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