3.2 + (-1.8) What would that be

Match the vocabulary word to its correct definition.

Trava [24]

Answer:

1. Complex number.

2. Imaginary part of a complex number.

3. Real part of a complex number.

4. i

5. Multiplicative inverse.

6. Imaginary number.

7. Complex conjugate.

Step-by-step explanation:

1. Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.

2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.

3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.

4. i: a number defined with the property that 12 = -1.

5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.

6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.

7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.

4 0

4 years ago

This is the question can someone help

agasfer [191]

Answer:

The coordinates of the vertices of triangle Q'R'S' will be:

Q'(-6, 9)

R'(-9, 3)

S'(-2, 2)

Step-by-step explanation:

Given the coordinates of the vertices QRS

The coordinates of the vertex Q is (-2, 3)

The coordinates of the vertex R is (-5, -3)

The coordinates of the vertex Q is (2, -4)

As we know the rules of translation that:

If you move horizontally 'c' units to the left, then 'c' units are subtracted to the x-coordinate of each of the vertices.

if you move 'c' units up, then 'c' units are added to the y-coordinate of each of the vertices.

Translation 6 units up and 4 units to the left.

(x, y) → (x - 4, y + 6)

As the triangle Q'R'S' is the image of the triangle QRS translated 6 units up and 4 units to the left.

So,

the coordinates of Q' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (-2 - 4, 3 + 6) = (-6, 9)

the coordinates of R' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (-5 - 4, -3 + 6) = (-9, 3)

the coordinates of S' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (2 - 4, -4 + 6) = (-2, 2)

Therefore, the coordinates of the vertices of triangle Q'R'S' will be:

Q'(-6, 9)

R'(-9, 3)

S'(-2, 2)

6 0

3 years ago

1. Discuss the differences between the measurement of the surface area and the measurement of the volume of a right rectangular

AlekseyPX

Surface area=area needed to wrap a box
volume=amount of space in the box

surface area=2hl+2hw+2wl=2(hl+hw+wl)
volume=hlw
h=height
l=legnth
w=width

a. surface area is the outside area. lets say you have a cardboard cube and cut it on all the corners and edges so you ended up with 6 squares, the total areas of those squares is the surface area of the cube
volume is how much stuff can be put into the cube, we measure how many 1 by 1 by 1 cubes can fit into the object or how much water can fit in the cube

b. surface area is 2 dimentional since it is area and can be folded flat so the units would be square feet or square inches (ft^2, in^2)
volume is 3 dimentional since it is legnth width and height so it would be cubic foot, cubic inch (in^3, ft^3)

c. surface area=wrapping paper, wrapping stuff, painting an object
volume=how much water can fit in pool, how much punch to put in the jar to fill it up, which water bottle to bring so you have enough water

7 0

3 years ago

Read 2 more answers

Rewrite the equation by completing the square. x^2+10x+24 = 0

ser-zykov [4K]

Answer:

(x+5)^2 = 1

Step-by-step explanation:

x^2+10x+24 = 0

Subtract 24 from each side

x^2+10x+24 -24 = 0-24

x^2+10x = -24

Take the coefficient of x

10

Divide by 2

10/2 =5

Square it

5^2 = 25

Add it to each side

x^2+10x+25 = -24+25

Take the coefficient divided by 2 inside the factor

(x+10/2) ^2 = -24+25

(x+5)^2 = 1

3 0

4 years ago

A music teacher has 4 drum kits. Each kit has 2 drumsticks. Each drumsticks costs $3 how many drumsticks does she have what is t

Gnesinka [82]

A music teacher has 4 drum kits. Each kit has 2 drumsticks. Each drumsticks costs $3 how many drumsticks does she have what is the cost to replace them all?

answer: she will have 8 sticks and $24 to replace

Step-by-step explanation:

4 drum kits x 2 drumsticks each kit = 8

8 drumsticks x $3 each = $24

<h2>HOPE IT HELP LET ME KNOW IF ANYTHING IS WRONG :D</h2>

4 0

3 years ago