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cestrela7 [59]
2 years ago
6

Which of the following functions has a horizontal asymptote at y = 2?

Mathematics
1 answer:
Leona [35]2 years ago
6 0

Answer: The first graph

Step-by-step explanation:

An asymptote is an imaginary line that the function is approaching but never reaching. y=2 is a horizontal line. Therefore by looking at the graphs, the first graph shows the two functions never approaching 2, but gets very close to it. Therefore it is the first graph.

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Help me please and thanks!!
Yuki888 [10]

Answer:

Step-by-step explanation:

11 t= -5   17 r = 27

12 n= -1   18 k = -20

13 m=-5  

14 x= - 11

15 y = 70

16 f = - 70

4 0
3 years ago
I NEED HELP ASAP. 35 POINTS. In order for two polygons to be similar, two conditions must be met. First, all pairs of correspond
galina1969 [7]

Draw a square with side length of 4. All four angles are 90 degrees and all four sides are 4.

Then draw a rectangle with length of 9 and with of 2. All four angles would be 90 degrees, but the proportion of the 2 sides are different when compared to the sides of the square.

3 0
2 years ago
For the rhombus below, find the measure of angles 1,2,3 and 4.
Alexus [3.1K]

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

5 0
3 years ago
Please help me on this question
riadik2000 [5.3K]
The equation is 10 + 2x= 56; 56 - 10= 46; 46 ÷ 2= 23,
The answer is 23 people.

Hope this helps :)
6 0
3 years ago
How many ways can 5 people be arranged in a line?
Rasek [7]

Answer: 120 ways

Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.

Let's start by drawing 5 blanks to represent the 5 different positions in the line.

Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have <u>5</u> <u>4</u> <u>3</u> <u>2</u> <u>1</u>.

Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.

5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.

So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.

I have also shown my work on the whiteboard in the image attached.

7 0
3 years ago
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