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nasty-shy [4]
3 years ago
15

Simplify

alt=" \frac{4}{2 + i} " align="absmiddle" class="latex-formula">

Mathematics
1 answer:
skad [1K]3 years ago
6 0
Hey! Apologies that I can’t make this look nice because I’m on mobile.

To simplify this, we can multiply the denominator by its conjugate. For a imaginary function (a+bi), its conjugate would be (a-bi), so we can apply that here to multiply both sides by (2-i)/(2-i). This works because it simplifies to one. Then, we have our fraction as 4*(2-i)/((2-i)(2+i))=(8-4i)/(4-i^2)=(8-4i)/5

Feel free to ask further questions, and have a great rest of your day!
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for a field trip 12 students rode in cars and the rest filled six buses how many students were in each bus if 342 students were
kolezko [41]

Answer:

55

Step-by-step explanation:

we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.

4 0
3 years ago
Is my answer right? I don’t really know this subject very well
melomori [17]

First let's review how to find the surface area of a rectangular prism. Since the opposite faces have the same area, we just need to find one of each pair of faces and multiply the result by 2.

One face in each pairs adds up to 6*4+2*4+2*6=24+8+12=44

Now we just need to multiply this by 2!

44*2=88 cm^2

I really hope my explanation helped, if there are any more question about this please ask me in the comments I will answer them.

5 0
3 years ago
The length and breath of a rectangle are (a^2 +ab +b^2) units and (a-b) units.Find the area of the rectangle.
pshichka [43]

Answer:

a^3 - b^3.

Step-by-step explanation:

Area = length * breadth

= (a - b)(a^2 + ab + b^2)

= a(a^2 + ab + b^2) - b(a^2 + ab + b^2)

= a^3 + a^2b + ab^2 - a^2b - ab^2 - b^3

Note: the 4 middle terms cancel out. So the answer is

a^3 - b^3.

4 0
3 years ago
I'm not sure how to do these, slader is no assistance to me.
ki77a [65]

Answer:

Perimeter: 18 ft

Height: 7 ft

Base Area: 12

Surface Area: (7)*(8) + 2(47) = 150

Step-by-step explanation:

To find the perimeter add all the edges together.

5 + 5 + 8 = 18

To find the height look at the diagram. 7ft shows the height of the rectangle and thus is the height for the rest of the shape.

Base Area:

Multiply the length (8ft) of the base by the height of the base (3ft)

8 * 3 = 24

Then divide by 2 to get the total area of the triangle

24 / 2 = 12.

Surface Area:

To find the surface area you to need to find the specifics of each side.

The base area we already solved for which is 12. We'll get back to this in a minute. The other double sides are of 5 * 7. That equals 35. Add together 12 + 35 to get 47. That is what will go in the 2(___) box because both of those sides have 2. It is the same number when done this way versus just adding them up.

47 * 2 = 94

12 + 12 + 35 + 35 = 94

Then for the (___)(___) that would be 7ft * 8ft because it is the only side left and does not have a double so it must be separate.

7 * 8 = 56

56+94 = 150

5 0
3 years ago
Read 2 more answers
Anita has a success rate of 80% on free throws in basketball. She wants to know the estimated probability that she can make exac
ivolga24 [154]

Answer:

Roll a six-sided die five times. The  numbers 1 to 4 represent a make,

and numbers 5 and 6 represent a  miss. (Correct)

Spin a spinner with three equal  sections five times. On the spinner,

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Generate a set of five numbers using  a number generator with the numbers

0 to 9.The numbers 0 to 7 represent a  make, and 8 and 9 represent a miss. (Correct)

Generate a set of five numbers using  a number generator with the numbers

0 to 5.The numbers 0 to 3 represent a  make, and 4 and 5 represent a miss. (Incorrect)

Spin a spinner with five equal sections  five times. On the spinner, four sections  represent a make and one section  represents a miss. (Correct)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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