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ira [324]
3 years ago
15

Determine if jk and lm are parallel, perpendicular, or neither j(1,9),k(7,4),l(8,13),m(-2,1)

Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

"perpendicular"

Step-by-step explanation:

We need to find slope (m) of both line JK and LM

Slope has formula:

m=\frac{y_2-y_1}{x_2-x_1}

Lets find slope of JK:

m=\frac{4-9}{7-1}\\m=-\frac{5}{6}

Lets find slope of LM:

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{1-13}{-2-8}\\m=\frac{6}{5}

we know if we multiply two lines' slope and get -1, they are perpendicular. Let's check:

-\frac{5}{6}*\frac{6}{5}=-1

Hence, they are perpendicular

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2 years ago
The figure below shows a right rectangular prism whose base is a square.
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Answer:

The intersection of the horizontal plane with the prism would have a square shape.

Step-by-step explanation:

A right rectangular prism is one in which each side makes an angle of 90^{0} with its base, which is a square. It is a three dimensional figure with six faces.

The point where the horizontal plane and the prism coincides would take the shape of the base of the prism. This is because the prism rests with its base on the horizontal plane. Thus, the shape required is in the form of a square since its base is a square. The length and width of its base are equal.

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3 years ago
Read 2 more answers
Where to put the ( )’s 5+4+3 2=29
Salsk061 [2.6K]

Answer:

It all depends.

Step-by-step explanation:

It depends on what you are trying to do, and what you want to solve for. If you are trying to distribute the 3 into 2, you would place the parentheses around the 2. I hope I was able to help, but there is not much that I can do without more clear instructions!

8 0
2 years ago
Sylvie folds a large piece of paper in half. The fold divides the paper into two equal parts. She folds it in half again. When s
Nikolay [14]
Each time you fold a paper it will double the amount of parts. When you think about it, it's just multiplying by 2 a bunch of times.

One fold is 2 times 1, which is 2.
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Using this process, we can simplify that into exponents. If the amount of times you fold is x and the parts double for each fold, then the amount of parts can be represented by:

2^{x}

So if the amount of parts is given and we need the amount of folds, just keep doubling until you get to 64. The amount of times you doubled is the number of times Sylvie folded.

Later you will learn that the opposite of an exponent is a logarithm, which would look like this:

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But don't worry about that yet.
6 0
3 years ago
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$8,698.50

Step-by-step explanation:

289.95x30= $8,695.50

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