All categories

3 years ago

Form the union for the following sets m={} n={6,7,8,9,10}

Mathematics

1 answer:

Levart [38]3 years ago

4 0

Answer:

$M\cup N$ ={6,7,8,9,10}.

Step-by-step explanation:

We have an empty set: M={} and the set N={6,7,8,9,10}.

The union of these two sets are elements in M or N or both.

Since the M is a null set, $M\cup N=N$

Therefore: $M\cup N$ ={6,7,8,9,10}.

The union for the given sets is {6,7,8,9,10}.

You might be interested in

Claire tried to evaluate 30x8 step by step

Sophie [7]

30x8
8x0=0
8x3=24
30x8=240

6 0

3 years ago

Given the following formula, with A = 27 and t = 3, solve for r. <br> A=p(1+rt)

Nookie1986 [14]

Answer:

Step-by-step explanation:

The given formula is

$A=p(1+rt)$

Where $A=27$ and $t=3$

To solve for $r$ , first we need to move $p$

$\frac{A}{p}=1+rt$

Then, we move the term 1

$\frac{A}{p}-1=rt$

Finally, we move the factor $t$

$\frac{\frac{A}{p}-1 }{t} =r$

Replacing given values, we have

$\frac{\frac{27}{p}-1 }{3} =r\\r=\frac{\frac{27-p}{p} }{3} \\r=\frac{27-p}{3p}$

Thereofre, the right answer is A.

7 0

3 years ago

PLEASE HELP!! URGENT!! i will mark brainliest if its right!! In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is

zvonat [6]

Answer:

See below.

Step-by-step explanation:

This is how you prove it.

<B and <F are given as congruent.

This is 1 pair of congruent angles for triangles ABC and GFE.

<DEC and <DCE are given as congruent.

Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.

This is 1 pair of congruent angles for triangles ABC and GFE.

Now you need another side to do either AAS or ASA.

Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.

Now you have 1 pair of included sides congruent ABC and GFE.

Now using ASA, you prove triangles ABC and GFE congruent.

7 0

3 years ago

Describe the transformation in the figure below

Keith_Richards [23]

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

$Pre-image(x,y)\rightarrow Image(x,-y)$