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Georgia [21]
3 years ago
10

I need help with this please help

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

Answer:

i think its infinitely many solutions

explanation; b + 14 = X and X can be anything, therefore theres many solutions

AlekseyPX3 years ago
7 0

Answer:

There are infinitely many solutions

Step-by-step explanation:

Whatever number you plug in you'll get the same answer on both sides

You might be interested in
Determine the gradient of the straight line 2x-3y+9=0. Find the equation of the straight line through the origin which is perpen
frutty [35]

Answer: 3

x

−

2

y

−

15

=

0

Explanation:

We know that,

the slope of the line  

a

x

+

b

y

+

c

=

0

is  

m

=

−

a

b

∴

The slope of the line  

2

x

+

3

y

=

9

is  

m

1

=

−

2

3

∴

The slope of the line perpendicular to  

2

x

+

3

y

=

9

is  

m

2

=

−

1

m

1

=

−

1

−

2

3

=

3

2

.

Hence,the equn.of line passing through  

(

3

,

−

3

)

and

m

2

=

3

2

is

y

−

(

−

3

)

=

3

2

(

x

−

3

)

y

+

3

=

3

2

(

x

−

3

)

⇒

2

y

+

6

=

3

x

−

9

⇒

3

x

−

2

y

−

15

=

0

Note:

The equn.of line passing through  

A

(

x

1

,

y

1

)

and

with slope

m

is

y

−

y

1

=

m

(

x

−

x

1

)3

x

−

2

y

−

15

=

0

Explanation:

We know that,

the slope of the line  

a

x

+

b

y

+

c

=

0

is  

m

=

−

a

b

∴

The slope of the line  

2

x

+

3

y

=

9

is  

m

1

=

−

2

3

∴

The slope of the line perpendicular to  

2

x

+

3

y

=

9

is  

m

2

=

−

1

m

1

=

−

1

−

2

3

=

3

2

.

Hence,the equn.of line passing through  

(

3

,

−

3

)

and

m

2

=

3

2

is

y

−

(

−

3

)

=

3

2

(

x

−

3

)

y

+

3

=

3

2

(

x

−

3

)

⇒

2

y

+

6

=

3

x

−

9

⇒

3

x

−

2

y

−

15

=

0

Note:

The equn.of line passing through  

A

(

x

1

,

y

1

)

and

with slope

m

is

y

−

y

1

=

m

(

x

−

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

2

x

+

3

y

=

9

into this form

⇒

3

y

=

−

2

x

+

9

⇒

y

=

−

2

3

x

+

3

←

in slope-intercept form

with slope m  

=

−

2

3

Given a line with slope then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

2

3

=

3

2

⇒

y

=

3

2

x

+

b

←

is the partial equation

to find b substitute  

(

3

,

−

3

)

into the partial equation

−

3

=

9

2

+

b

⇒

b

=

−

6

2

−

9

2

=

−

15

2

⇒

y

=

3

2

x

−

15

2

←

equation of perpendicular lineExplanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

2

x

+

3

y

=

9

into this form

⇒

3

y

=

−

2

x

+

9

⇒

y

=

−

2

3

x

+

3

←

in slope-intercept form

with slope m  

=

−

2

3

Given a line with slope then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

2

3

=

3

2

⇒

y

=

3

2

x

+

b

←

is the partial equation

to find b substitute  

(

3

,

−

3

)

into the partial equation

−

3

=

9

2

+

b

⇒

b

=

−

6

2

−

9

2

=

−

15

2

⇒

y

=

3

2

x

−

15

2

←

equation of perpendicular line

7 0
3 years ago
Read 2 more answers
Ryan has 3/4 cup of pudding. How many 1/6 cup serving of pudding can ryan make?
ale4655 [162]

You need to divide the amount he has by the serving size.

(3/4) / (1/6) =

= 3/4 * 6/1

= 18/4

= 4 1/2

He can make 4 1/2 servings.

4 0
3 years ago
Jim gets a $20 allowance
natita [175]

He mowed 13 lawns hop i help if so can you make me the braliy

8 0
3 years ago
Read 2 more answers
Find the unit rate <br><br> $28 for 7 people
Vlad1618 [11]

Answer: 4 dollars per person .  that would be it .

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Match each equation to its equivalent equation in slope-intercept form.
Bumek [7]
1.) y+6=3(x+2)    C
     y+6=3x+6
     y=3x+6-6
     y=3x+6
2.) y=1/2(x+8)-2    B
     y=1/2x+4-2
     y=1/2x+2
3.) y+1=1(x-3)    E
     y+1=x-3
     y=x-3-1
     y=x-4
4.) -4x+y=-2    A
     y=-4x-2
5.) 2x-4y=-4     F
     -4y=-2x-4
     y=-2/-4x-4/-4
     y=2/4x+4/4
     y=1/2x+1
6.) 2x+4y=8     D
     4y=-2x+8
     y=-2/4x+8/4
     y=-1/2x+4/2
     y=-1/2x+2
6 0
3 years ago
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