Which property of multiplication is shown below?If x = a + bi and y = c + di, x × y = y × x.

Answers

Answer 1

Answer: There are four properties of multiplication namely commutative, associative, multiplicative identity and distributive. The equation given defines the commutative property of multiplication where two numbers are multiplied, the product will still be the same no matter what is the order of the multiplicands.

Answer 2

Answer:

Answer:

Step-by-step explanation:

The given values of x and y are:

$x=a+bi$ and $y=c+di$

Then, using the commutative property which states that it is a binary operation in which ab=ba whenever you change the order of the operands.

Therefore, $xy=yx$

$(a+bi)(c+di)=(c+di)(a+bi)$

$ac+bci+adi+bdi^2=ca+dai+cbi+dbi^2$

$ac+(bc+ad)i-bd=ca+(da+cb)i-db$

Thus, commutative property of multiplication is as shown above.

Related Questions

The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.−40 > 5 over 9 (F − 32) > 125; −40 > F > 257 −40 < 5 over 9 (F − 32) < 125; −40 < F < 257 −40 < 5 over 9 (F − 32); −40 < F 5 over 9 (F − 32) < 125; F < 257
if a right circular cone has a volume of 15 cubic ft and a radius of 3 ft, what is the height of the cone?
(10pts) A train left a station at 8:00 amgoing at 45 mph. A second train left the stationat 10:00 am going in the same direction at 55mph. At what time will the second train catchup with the first train?
Charla has six segments with which to make two triangles. The segments lengths are 2 in., 3 in., 4 in., 5 in., 6 in., and 7 in. Which are possible side lengths of her two triangles?
Write a sentence that explains the relationship between the two numbers.

Greg was adding numbers on a number line. He started on –5 and then he added –8. Greg wrote that the answer was +13. Is Greg's answer reasonable?

A.
No, it is not reasonable because –5 + –8 = –13.

B.
Yes, it is reasonable because –5 + –8 = +13.

C.
No, it is not reasonable because if you add two numbers you will get a number that is greater than either of the two numbers.

Answers

The answer is A. because this would count as subtraction anyways.

6(7a-10) how do I solve this

Answers

$6(7a-10) \n \n 6 * 7a + 6 * -10 \ / \ distribute \n \n 42a + 6 * -10 \ / \ simplify \n \n 42a + -60 \ / \ simplify \n \n 42a - 60 \ / \ simplify \n \n Answer: \fbox {42a - 60}$

solve the brackets, to do that you should multiply the numbers inside the bracket with the first number outside and in the right to the brackets.so,

6(7a-10)= 42a-60
hence the answer is, 42a-60

The Equation Of Line Q Is Y= 1/6 X-5 . Line R, Which Is Parallel To Line Q, Includes The Point 6,2 . What Is The Equation Of Line R?

Answers

Answer:

y = $(1)/(6)$ x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given line Q with equation

y = $(1)/(6)$ x - 5 ← in slope- intercept form

with slope m = $(1)/(6)$

• Parallel lines have equal slopes , then

y = $(1)/(6)$ x + c ← is the partial equation of line R

to find c , substitute the point (6, 2 ) for x and y into the partial equation

2 = $(1)/(6)$ (6) + c = 1 + c ( subtract 1 from both sides )

1 = c

y = $(1)/(6)$ x + 1 ← equation of line R

A rectangular prism has a length of 2x^2+2x-24 over 4x^2+x, a width of x^2+x-6 over x+4, and a height of 8x^2+2x over x^2-9. For all values of x for which it is defined , express, in terms of x, the volume of the prism in simplest form.1. 4(x-2)
2. 2(x-2)
3.2(x+2)
4.4(x+2) please show work.

Answers

$V=abc\n\nV=(2x^2+2x-24)/(4x^2+x)\cdot(x^2+x-6)/(x+4)\cdot(8x^2+2x)/(x^2-9)\nV=(2(x^2+x-12))/(x(4x+1))\cdot(x^2+3x-2x-6)/(x+4)\cdot(2x(4x+1))/((x-3)(x+3))\nV=2(x^2+4x-3x-12)\cdot(x(x+3)-2(x+3))/(x+4)\cdot(2)/((x-3)(x+3))\nV=2(x(x+4)-3(x+4))\cdot((x-2)(x+3))/(x+4)\cdot(2)/((x-3)(x+3))\nV=2(x-3)(x+4)\cdot(x-2)/(x+4)\cdot(2)/(x-3)\nV=2\cdot(x-2)\cdot2\nV=4(x-2)$

1) If a circle sector has a radius of 5 cm and a central angle of 3 radians, then the arc length of the sector is 15 cm. True or False?2) If a circle sector has a radius of 6 cm and a central angle of 240 degrees, then the arc length of the sector is 8(pi) cm. True or False?

Answers

The answer is true. use arc length=(central angle/2π)2πr.

What is the length of the arc?

The distance along a portion of the circumference of any circle or curve is best characterized as arc length (arc).

We know that the circumference of a circle is equal to 2πr. That means when we have 2π radians out of 2π radians (one hundred per cent of the circle).

If we are only dealing with part of the circle (sector), you find what per cent of the complete circle the sector is by dividing the central angle by 2π. In this case, we have 3 radians out of 2π radians,

Therefore we only have 47.75% of the circle. Because we only have a certain percentage of the circle, you multiply 2πr by the percent to get the arc length given by the sector.

In this case 0.4775x2xπx5 which equals 15.001 which is rounded down to 15 cm. Therefore the answer is true.

To know more about the length of the arc follow

brainly.com/question/2005046

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The answer is true. use arc length=(centeral angle/2π)2πr
we know that the circumference of a circle is equal to 2πr. That means when we have 2π radians out of 2π radians (one hundred percent of the circle). If we are only dealing with part of the circle (sector), you find what percent of the complete circle the sector is by dividing the central angle by 2π. In this case we have 3 radians out of 2π radians, therefore we only have 47.75% of the circle. Because we only have a certain percentage of the circle, you multiply 2πr by the percent to get the arc length given by the sector. In this case 0.4775x2xπx5 which equals 15.001 which is rounded down to 15 cm. Therefore the answer is true.

HELP
If m∠ABC = 72°, what is m∠DAB?