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igomit [66]
3 years ago
5

Y-3=3(x+1)

Mathematics
1 answer:
Sloan [31]3 years ago
7 0

Answer: x + 3y = 2

Step-by-step explanation:

Given:

y - 3 = 3 ( x + 1 )

y - 3 = 3x + 3

y = 3x + 3 + 3

y = 3x +6

comparing the equation with the formula for finding equation of line in slope - intercept form

y = mx + c , where m is the slope and c  is the y - intercept. This means that the slope of the line above is 3

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if they are perpendicular , then m_{1}m_{2} = -1

Considering this rule , this means that the slope of the line we are to find = \frac{-1}{3}

Using the formula : y - y_{1} = m ( x - x_{1} ) to find the equation of the line , we have

y - (-1 ) = \frac{-1}{3} ( x - 5 )

y + 1 = \frac{-1}{3} ( x - 5 )

multiplying through by 3 , we have

3 ( y + 1 ) = -1 ( x - 5)

Expanding , we have

3y + 3 = -x + 5

writing the equation in standard form , we have

3y + x = 5 - 3

Therefore :

x + 3y = 2

You might be interested in
Y=1/3x what is the slope
Karolina [17]

Answer:

Slope = \frac{1}{3}

Step-by-step explanation:

The equation for finding slope is:

y = mx+b

In the equation, m is the slope, x is the x-intercept, and b is the y-intercept. The number next to x is ALWAYS the slope.

Your equation:

y = \frac{1}{3} x

The number(fraction) next to x is \frac{1}{3}. Therefore, your answer will be \frac{1}{3}

3 0
3 years ago
A rectangular swimming pool is 15 meters long, 11 1/2 meters wide, and 1 1/2 meters deep. What is its volume?
-BARSIC- [3]
258 3/4 cubic meters

Explanation:
Use this formula for volume of rectangular prism: length x width x height

In this case it would be:
15 • 11 1/2 • 1 1/2 = 258 3/4

VOLUME= 258 3/4 cubic meters

Com.ment me if u have any questions
If my answer is correct, braibliest please!
-SpaceMarsg, have a nice day :DD
3 0
3 years ago
 Hester sells televisions. She earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended war
tiny-mole [99]

Answer:

y =mx +bx

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

1200 = 15*16 +16b

and solving for b we got:

b= \frac{1200-15*16}{16}= 60

And then we can conclude that she earns 60 for each TV

Step-by-step explanation:

For this case we can set a linear model like this:

y =mx +bx

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

1200 = 15*16 +16b

and solving for b we got:

b= \frac{1200-15*16}{16}= 60

And then we can conclude that she earns 60 for each TV

8 0
3 years ago
Which equation represents this statement? One-third of a number is 21.
Musya8 [376]
This states that a number divided by 3 is 21. the equation is: n/3 = 21
5 0
3 years ago
Answer like gauss 1+3+5+7+...=999
raketka [301]

1+3+5+7+...+999 =

= 1+2+3+4+...+500

     +1+2+3+...+499

= 2·(1+2+3+...+499) + 500

= 2·(499·500)/2 + 500

= 499·500 + 500

= 500·(499 + 1)

= 500·500

= 250.000

7 0
3 years ago
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