Which expression is equivalent to -6x3.x*y2*y6?<br>0 6x²y3<br>0 6x²y12<br>0 6x²y3<br>0 6x²y12

To show how to do this step by step

Jet001 [13]

Answer:

to do it 5 x 10 x 4 x 5 x 6 x 7 x 3 x 2 3 x 4 x5

Step-by-step explanation:

x 3x 3x 3x3 x4 x4x4 x4x to the power of 5 million

3 0

3 years ago

(a) Let R = {(a,b): a² + 3b <= 12, a, b € z+} be a relation defined on z+)

grin007 [14]

Answer:

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Step-by-step explanation:

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·a

Therefore, R is reflexive

If ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ R

Therefore, R is symmetric

If ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·c

Multiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈R

Therefore R is transitive

From the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

brainly.com/question/1503196

4 0

2 years ago

Express 3/5 as a percent

Mama L [17]

Answer: 60%

Step-by-step explanation:

3/5 times 20 = 60/100

8 0

3 years ago

Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin

vesna_86 [32]

Answer:

Yes, he will have enough paint to cover the tank with one layer of paint.

Step-by-step explanation:

We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).

He uses 250 ml to cover 1 $\text{m}^{2}$ .

From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).

The lateral surface area of the cylinder = $2\pi rh$

where, r = radius of the cylinder = $\frac{\text{Diameter}}{2}$ = $\frac{1.1 }{2}$ = 0.55 m

h = height of the cylinder = 1.4 m

$\pi$ = 3.142 (given)

So, the lateral surface area of a cylindrical water tank = $2 \times 3.142 \times 0.55 \times 1.4$

= 4.84 $\text{m}^{2}$ .

Now, it is given in the question that; Tublu uses 250 ml to cover 1 $\text{m}^{2}$ area, this means that;

To cover 4.84 $\text{m}^{2}$ area, he will use paint = $4.84 \times 250$ = 1210 ml

Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.

This means that yes, he will have enough paint to cover the tank with one layer of paint.

8 0

3 years ago

Write the equation for this line in slope-intercept form

dimulka [17.4K]

Answer:

y=x-1

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to -6x3.x*y2*y6?0 6x²y30 6x²y120 6x²y30 6x²y12​

Which expression is equivalent to -6x3.xy2y6?0 6x²y30 6x²y120 6x²y30 6x²y12