What is the equation in point slope form of the line that is parallel to the given line and passes through the point (4,1)

Mathematics

1 answer:

Kobotan [32]3 years ago

6 0

The slope will be the same, so we know the equation will be y=-2x+b. But there is a different b.

For x=4, y will be 1 because the point (4,1) is given.

So 1=-2*4 + b => b = 9

So the equation of our parallel line is y=-2x+9

If we subtract 1 from both sides, we get y-1 = -2x + 8
Then factor out -2 on the right hand side: y-1 = -2(x - 4)

That's answer A!

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A motel rents double rooms at $34 per day and single rooms at $26 per day. If 26 rooms were rented one day for a total of $804,

lubasha [3.4K]

Answer: 16 double rooms and 10 single rooms were rented.

Step-by-step explanation:

Let x represent the number of double rooms that were rented.

Let y represent the number of single rooms that were rented.

The total number of rooms rented in a day is 26. It means that

x + y = 26

A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that

34x + 26y = 804 - - - - - - - - - - -1

Substituting x = 26 - y into equation 1, it becomes

34(26 - y) + 26y = 804

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You have 32 foot long fence there are 4 equal sections you paint 1/3 of on section what fraction of the fence did you paint

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3 years ago

Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height

Elena L [17]

The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct

Solution:

Given, Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height is 6.3 feet.

Rob filled the tent with balloons,

We have to find which measurement BEST describes the amount of balloons in the tent?

As tent if filled with balloons the amount of balloons equals with volume of tent.

Volume of tent is given as:

$\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}$

where "a" is side length and "h" is height.

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