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3 years ago

Are the given lines parallel? Explain X=-1, and y=2

2 answers:

german3 years ago

5 0

No they would be intersecting. x=-1 is a vertical line down the x axis on -1. y=2 is a horizontal line at 2 on the y axis.

Zielflug [23.3K]3 years ago

5 0

Hi! Your problem will be explained in the explanation section.

Furthermore, your answer is No, the given lines are not parallel.

Why? See below! Questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Hi there! Today I will be explaining these things which may benefit you.

Parallel Line
Perpendicular Line
Horizontal and Vertical Line

You might have known or heard these lines somewhere. <em>But what are they?</em>

<u>Parallel</u>

Parallel Lines are lines that do not intercept each others. They are same lines except they have distance. I think you might be confusing if I keep explaining. Let's look at an attachment instead. Please see <u>the first attachment</u> for how do parallel lines look like.

<u>Perpendicular</u>

Perpendicular Lines are lines that intercept each others. Both lines intercepting each others create a right angle around the interception. See <u>the second attachment</u> for how do perpendicular lines look like.

Next things are going to be main topic for our problem. <em>What is the difference between graph of x = -1 and y = 2?</em>

In the coordinate plane, graph of x-coordinate would be a straight vertical line because x = -1 isn't given any ranges. Therefore, x = -1 would have range as real number.

Similar to y = 2. y = 2 isn't given any domains. Therefore, y = 2 would have domain as real number and have a horizontal line graph.

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A parabola passes through (7,42) and has a vertex at (-2,6).

Serggg [28]

Answer: To solve this you need to use the vertex form of the equation of a parabola which is y=a(x−h)2+k , where (h,k) are the coordinates of the vertex.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the sine, cosine, and tangent of 120 degrees. (5 points) Sin 120 degrees = square root of 3 divided by 2, cos 120 degrees =

salantis [7]

120° will be found on in the second quadrant of the unit circle. Specifically, the reference angle will be 60°. This is because the angle measurement starts from the positive x axis, and rotates 120° counter-clockwise. The angle formed at this point between the line and the x-axis (negative direction) is 60°.

The special right triangle formed will have a hypotenuse of 1, and a reference angle of 60°.
We know that the adjacent line, the line opposite the 30° angle, will be 1/2 the hypotenuse, or -1/2. Negative because it goes in the negative x direction.
The opposite end, or vertical side, will be √3/2.

sin(120) = opposite/hypotenuse = √3/2 ÷ 1 = √3/2

cos (120) = adjacent/hypotenuse = (-1/2) / 1 = -1/2

tan (120) = opposite / adjacent = (√3/2) / (-1/2) = -√3

4 0

4 years ago

You estimate that a jar contains 98 marbles. The actual number of marbles is 90. Find a percent of error.

pantera1 [17]

Answer:

It might be 8.8889% (Not completely sure)

3 0

3 years ago

Can someone help me with this? Thanks!

Evgesh-ka [11]

Part (a)

There are 3 face cards (jack, queen, king) in any given suit. We have 4 suits. That gives 3*4 = 12 face cards total.

12/52 = 3/13 is the probability of getting a face card on any random selection. This probably does <u>not</u> change for any future selection because we put the current card back. In other words, the deck has not changed. Contrast this with part (b) where the probabilities will change since the card counts decrease each time (since we don't put the card back).

The probability of getting 3 face cards in a row, with replacement, is:

(3/13)*(3/13)*(3/13) = 0.012289 approximately

This converts to the percentage 1.2289% after moving the decimal point two spots to the right. This is the same as multiplying by 100.

Lastly, round that to one decimal place to get 1.2%

<h3>Answer: 1.2</h3>

The percent sign is already taken care of, so you'll just input the number only.

=============================================================

Part (b)

Like mentioned earlier, the probability of a face card is 12/52

I won't reduce that fraction, as you'll see why below.

After that first card is <u>not</u> put back, the 12 decreases to 12-1 = 11 and we have 52-1 = 51 cards left over.

11/51 is the probability of getting another face card, where we have no replacement going on.

Then 10/50 is the probability of getting a third face card. Again, with no replacement.

Therefore,

(12/52)*(11/51)*(10/50) = 0.009955

is the approximate probability of getting 3 face cards in a row with no replacement. Notice the count down 12,11,10 in the numerators. There's also the countdown 52, 51, 50 in the denominators. This nice pattern only happens if we don't reduce the reducible fractions. This is why I didn't reduce.

Anyways 0.009955 converts to 0.9955% which rounds to 1.0% or simply 1%

<h3>Answer: 1</h3>

4 0

2 years ago

ming had some paper with which to make note cards. on her way to her room she found four more pieces to use. in her room she cut

Misha Larkins [42]

There is two halves to a whole sheet ( 1/2 + 1/2 0 1)

Divide the number of halves by 2 to find the number of whole sheets:

14 / 2 = 7 sheets of paper

7 0

3 years ago