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il63 [147K]
3 years ago
11

The union of sets P = {5, 6, 7, 8, 9} Q = {1, 2, 3, 4, 5} is given by which of the following? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2,

3, 4, 5, 5, 6, 7, 8, 9} ø {5}
Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer: First option.

Step-by-step explanation:

Given two sets <em>A</em> and <em>B, </em>the union (<em>A</em>∪B) will be the set of elements which belong to either <em>A</em> or to <em>B</em> or to both.

Inf this case you have these two sets:

P={5, 6, 7, 8, 9} and Q={1, 2, 3, 4, 5}

To find the union of these sets, put together the elements of the set <em>P</em> and the elements of the set <em>Q</em> (you need  to remember that no element must be repeated).

Then, you get that the union of sets <em>P </em>and <em>Q</em> is:

P∪Q={1, 2, 3, 4, 5,6, 7, 8, 9}

This matches with the first option.

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Answer:

3,870

Step-by-step explanation:

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2 years ago
Joseph tweets 13 times aa day. Define each variable and write an algebraic expression to describe the number of posts after any
Ivahew [28]

Let's say that x is the number of days he tweets. Now, if he tweets any number of days, we can represent all of that with just x. So out expression will look like:

13x

Hope this helps!

5 0
3 years ago
In triangle FGH, GJ is an angle bisector of ∠G and perpendicular to FH.
Citrus2011 [14]
The picture in the attached figure

we know that
If line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.

Now, we have
Angle FGJ = Angle HGJ
Angle GJF = Angle GJH
This information means that angle GHJ = angle GFJ

We have two congruent right-angled triangle
We can then further deduce that
Side GF = Side GH
Since triangle FGJ and triangle GJH are congruent,
then
side FJ equals to side JH
3x-8=16
3x=16+8
3x=24
x=8 units
Hence,
the length of FH = 2×8=16 units

the answer is
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4 0
3 years ago
Michael drove from home to work at an average speed of 45 mph. His return trip home took 45 minutes longer because he could only
Xelga [282]

The distance from his home to his work place is 118.125 miles

<h3>How to find the distance from his home to his work place?</h3>

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

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10x = 26.25

x = 26.25 / 10

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Therefore,

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learn more on distance here: brainly.com/question/21329221

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3 0
2 years ago
The length of a rectangle is twice as long as the width of the rectangle.
Rashid [163]

Answer: length = 8cm

Width = 4cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x

Note that, Area of a rectangle = Length × Width

Therefore,

2x × x = 32

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Divide both side by 2

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x = ✓16

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Therefore, width = 4cm

Since length = 2x

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8cm × 4cm = 32cm²

8 0
2 years ago
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