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NeTakaya
3 years ago
6

What line is parallel to 2x-3y=6 and passes through the point (0,3)

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

Answer:

The equation is y = 2/3x + 3

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

2x - 3y = 6

-3y = -2x + 6

y = 2/3x - 2

This gives us a slope of 2/3. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - 3 = 2/3(x - 0)

y - 3 = 2/3x

y = 2/3x + 3

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Find the sum. Write your answer in simplest form.<br><br> 6 5/6 + 6 11/12
Gennadij [26K]
If you would like to calculate 6 5/6 + 6 11/12, you can do this using the following steps:

<span>6 5/6 + 6 11/12 = 41/6 + 83/12 = 82/12 + 83/12 = 165/12 = 55/4 = 13 3/4
</span>
The correct result would be 55/4.
3 0
3 years ago
What is 813.47 to the nearest tenth
nata0808 [166]
813.5, thats so easy how is this college level
8 0
3 years ago
Read 2 more answers
Each month, a phone company charges $30 for 500 minutes of talk time plus $0.45 for each additional minute. Write an expression
damaskus [11]

Answer:

  30 +0.45(m -500) . . . . for m > 500

Step-by-step explanation:

If talk time is "m" minutes, then the number of "additional minutes" is ...

   m -500

The cost of those is $0.45 each, so (in dollars), the charge for additional minutes is ...

   0.45(m -500)

The charge of $30 applies regardless of the number of minutes, so is added to the minutes charge. The total cost of a bill for talking more than 500 minutes is ...

   30 +0.45(m -500)

_____

The cost for talking 500 minutes or less is simply 30.

8 0
4 years ago
You have 200 meters of fencing. What triangle will result in the maximum fence-able area? What is that area?
ikadub [295]

Answer:

It will be an equilateral triangle and the area is 1924.5 sq. meters.

Step-by-step explanation:

If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.

Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.

So, the equilateral triangle with a perimeter of 200 meters will have side lengths of \frac{200}{3} meters.

Now, the area of an equilateral triangle with sides a units is given by \frac{\sqrt{3}}{4} a^{2} sq. units.

So, the area of the above equilateral triangle will be = \frac{\sqrt{3}}{4}\times (\frac{200}{3})^{2} = 1924.5 sq. meters. (Answer)

7 0
4 years ago
Whats 9x-6-13x=94? how do you do it?
rewona [7]
9x-6-13x=94

-4x-6=94

-4x=100

x= -25
6 0
3 years ago
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