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9966 [12]
3 years ago
15

If set D is not the empty set but is a subset of set E, then which of the following is true?

Mathematics
1 answer:
viva [34]3 years ago
8 0
Concept:
If every element of a set D is an element of set E, then D is the subset of E.
e.g
D={1,2,3},   E={1,2,3,4}
As all the elements of D are in E, so D is the subset of E.
Now the intersection of two sets D and E is the set of all elements which belong to both D and E.
As, in our example the set D={1,2,3} is the intersection of set D and set E.

From the above discussion, it is proved that <span>If set D is not the empty set but is a subset of set E then 
</span> <span>D ∩ E = D is the true answer.</span>
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Graph the line with slope - 1 passing through the point (2,-5).
alexira [117]

Answer:

there you go

Step-by-step explanation:

7 0
3 years ago
Please help I will make you the brainiest (please no link people)
Andre45 [30]

Answer:

Solution,

Radius(r)=6 cm

Height(h)=20 cm

Volume of cylinder= pi (r)^2 h

=3.14*(6)^2*20

=3.14*36*20

=2260.8 cm^3

Hope it helps

Good luck on your assignment

4 0
3 years ago
Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

8 0
2 years ago
Find the product
o-na [289]

Answer:

2x^3 - 2x^2  - 12x

Step-by-step explanation:

2x(x - 3)(x + 2)

= 2x ( x^2 + 2x -3x - 6)

= 2x (x^2 - x - 6)

= 2x^3 - 2x^2  - 12x (answer).

7 0
2 years ago
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How many vertices does a cube have
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A cube has 8
A square has 4
4 0
3 years ago
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