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
Help pls I need help my grades go in in a couple mins
julsineya [31]

Answer:

16g

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The area of a rectangular field is 2275 m2. The field is enclosed by 200 m of fence. What are the dimensions of the field?
AURORKA [14]
So it is enclosed by 200 m of  fence
perimiter=200 m
it is a rectangle to
p=legnth+legnth+width+width or
p=l+l+w+w or
p=2l+2w or
p=2(l+w)
so
p=200
200=2(l+w)
divide both sides by 2
100=l+w
area=l times w
area=2275
lw=2275
l+w=100
combine and solve
l+w=100
subtract w
l=100-w
subisutute 100-w for l in other eqution
(100-w)(w)=2275
distribute
-w^2+100w=2275
add (w^2-100w) to both sides
0=w^2-100w+2275
factor
find what 2 numbers add up to -100 and multiply to get 2275
guess (or factor 2275 and find factors that add up to -100)
figure out that they are -65 and -35
0=(w-65)(w-35)
set each to zero
0=w-65
0=w-35

solve for w
w=65 or 35
65>35 so
65 m=legnth
35 m=width
 
4 0
3 years ago
Dana is making a seating chart for an awards banquet. There are 184 people coming to the banquet. If 8 people can be seated at e
FromTheMoon [43]
There are 184 people
there are 8 people in each table.
184÷8= 23 tables
she need 23 tables
6 0
3 years ago
Read 2 more answers
Use the discriminate to determine the number and the nature of the solutions of the giving equation
netineya [11]

Answer: x-1/6

Step-by-step explanation:

3 0
3 years ago
The distance traveled (in meters) by the Oregon slug can be modeled by the function f(t) =
babunello [35]

Answer:

Step-by-step explanation:

26 meter I guess

5 0
3 years ago
Other questions:
  • A 4 3/4-foot pipe has a 3 1/4-foot pipe fitted to it. How long is the new pipe?
    10·2 answers
  • 5x + 6 = 4x - 2<br>What is x?​
    7·2 answers
  • I really need help....
    14·2 answers
  • A coin is flipped 10 times. The coin lands on HEADS 7 times. Write the values fraction and percent form.
    7·1 answer
  • Find the value of the following expression using a number line.<br><br> 3+(−2)
    8·2 answers
  • Find the slope of the line y = 5/9x + 7/2
    6·1 answer
  • Which statements must be true regarding the diagram? BG ≅ AG DG ≅ FG DG ≅ BG GE bisects ∠DEF GA bisects ∠BAF
    15·2 answers
  • D={xl x is a whole number}. E= {xl x is a perfect square &lt;100}. E {xl x is an even number between 10 and 20}
    6·1 answer
  • Michal got a $50 gift card to an online music store. He bought an $10 album.He wants to buy songs that cost $1.25? Per song. Wri
    8·1 answer
  • Barrett is 5 years less than half Cayden’s age. If Barrett is 11 years old, what is Cayden’s age?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!