1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
photoshop1234 [79]
3 years ago
15

Through (3, 4) and perpendicular to y = (1/3)x - 3

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:3

x

−

2

y

=

7

Explanation:

Write the standard form of the line that goes through  

(

3

,

1

)

and is perpendicular to  

y

=

−

2

3

x

+

4

.

The equation  

y

=

−

2

3

x

+

4

is in slope intercept form

y

=

m

x

+

b

where  

m

= slope and  

b

= the  

y

intercept.

The slope of this line is then  

m

=

−

2

3

A perpendicular slope is the opposite sign reciprocal. So, we change the sign of  

−

2

3

and switch the numerator and denominator.

Perpendicular slope  

m

=

3

2

To find the equation of the new line, use the point slope equation

y

−

y

1

=

m

(

x

−

x

1

)

where  

m

=

slope and  

(

x

1

,

y

1

)

is a point.

The slope is  

3

2

and the point is the given point  

(

3

,

1

)

.

y

−

1

=

3

2

(

x

−

3

)

a

a

a

Distribute

y

−

1

=

3

2

x

−

9

2

Standard form is  

a

x

+

b

y

=

c

where  

a

,

b

and

c

are integers and  

a

is positive.

a

a

2

(

y

−

1

=

3

2

x

−

9

2

)

a

a

a

Multiply the equation by  

2

a

a

a

a

a

2

y

−

2

=

3

x

−

9

−

3

x

a

a

a

a

a

a

a

−

3

x

a

a

a

Subtract  

3

x

from both sides

−

3

x

+

2

y

−

2

=

−

9

a

a

a

a

a

a

a

a

+

2

a

a

a

+

2

a

a

a  Add  2  to both sides  − 3 x + 2 y = − 7 − 1 ( − 3 x + 2 y = − 7 ) a a a Multiply the equation by  − 1 3 x − 2 y = 7

You might be interested in
Vanessa bought a total of 5⁄3 pounds of green and red peppers. She bought 2⁄3 of a pound of green peppers. How many pounds of re
Temka [501]

Answer:

1  pound or 3/3

Step-by-step explanation:

Subtract the green peppers from the total (5/3 - 2/3 = 3/3)

To convert to a whole number, divide 3 by 3, which equals 1, so 1 whole pound of red peppers.

8 0
3 years ago
Read 2 more answers
What is 1 2/3 - (-5 2/3)
arsen [322]

Answer:

the answer is 7.33

Step-by-step explanation:

I used a calculator

6 0
2 years ago
Read 2 more answers
Can someone help me with this?
podryga [215]
The pink goes under the light blue then the dark blue goes under the pink cause it says finish :)
4 0
2 years ago
Read 2 more answers
YOOO MARKIN BRAINIEST !!
Brilliant_brown [7]
Y ≥ 2x-5
y-intercept is -5, from there go 2 up 1 over ( slope is rise over run)
greater than or equal so the line is connected
now find the shaded area by plugging in (0,0)
0 ≥2(0)-5
0 ≥-5 is correct so shade the area that to the left of the line, (the whole area that including (0,0))

y<-3x
y intercept is 0 so start from there and go down 3 right 1 (or go up 3 left 1)
broken like cause no or equal sign
the (0,0) is on the line so use (1,1) to find the answer
1<-3(1) is incorrect so shade the area that dies not include (1,1) or the entire area to the left of that line

you can see the section where both shaded area cross, thats the answer so erase every area you shaded that isn’t the answer so
THE ANSWER IS C
3 0
3 years ago
Read 2 more answers
What is the asymptote of g(x)= 4 (1/3) - 2
Nataly [62]

Answer: X=2

Step-by-step explanation:

Assuming the function is

All logarithmic functions, despite their base, has a vertical asymptote at argument = 0.

That is not changed by the vertical stretching made by the 4 which multiplies the logarithm nor  the vertical shift made by the +5.

In this case the argument is x - 2, then the vertical asymptote is:

x - 2 = 0

8 0
2 years ago
Other questions:
  • Please help! geometry problem 3!
    5·1 answer
  • The diagram shows AQRS. Which term describes point ?​
    13·1 answer
  • HELP PLEASE IM STUCK
    10·1 answer
  • Which ordered pair is the solution to the system of equations?
    13·1 answer
  • Which linear function represents the line given by the point-slope equation y + 7 = –(x + 6)?
    9·1 answer
  • Help me someone:((!!!!!
    13·1 answer
  • Pls explain step by step and pls yell by are adding dividing multiplying etc
    8·1 answer
  • 20 points :D
    12·1 answer
  • Write an expression in simplified form for the area of the rectangle. Show work!
    9·1 answer
  • A baseball diamond is in the shape of a square with bases at
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!