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kkurt [141]
3 years ago
12

What is the value of the product (3 - 2i) (3 +2i)? O 5 9 + 4; 9 – 4;

Mathematics
1 answer:
blondinia [14]3 years ago
7 0

Answer:

9-4i²

Step-by-step explanation:

(3-2i)(3+2i)

Use the FOIL method for this.

First: 9

Outer: 6i

Inner: -6i

Last: -4i²

9+6i-6i-4i²=

9-4i²

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the length of a rectangle is 5 less than twice the width.if the perimeter of the rectangle is 146,find the area of the rectangle
raketka [301]

Answer:

The area of the rectangle is 1222 units²

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width

The formula of the area of a rectangle is A = L × W

∵ The length of a rectangle is 5 less than twice the width

- Assume that the width of the rectangle is x units and multiply

   x by 2 and subtract 5 from the product to find its length

∴ W = x

∴ L = 2x - 5

- Use the formula of the perimeter above to find its perimeter

∵ P = 2(2x - 5 + x)

∴ P = 2(3x - 5)

- Multiply the bracket by 2

∴ P = 6x - 10

∵ The perimeter of the rectangle is 146 units

∴ P = 146

- Equate the two expression of P

∴ 6x - 10 = 146

- Add 10 to both sides

∴ 6x = 156

- Divide both sides by 6

∴ x = 26

Substitute the value of x in W and L expressions

∴ W = 26 units

∴ L = 2(26) - 5 = 52 - 5

∴ L = 47 units

Now use the formula of the area to find the area of the rectangle

∵ A = 47 × 26

∴ A = 1222 units²

∴ The area of the rectangle is 1222 units²

7 0
3 years ago
What is the best estimate for the number of people in line at 7.A.M
Keith_Richards [23]

We have been given the equation

y=-5.131x^2+31.821x-3.333

It represents the number of people standing to catch a commuter train x hours after 5 A.M.

Now, in order to find the number of people in line at 7 a.m. , we need to substitute x= 2 in the above equation.

y(2)=-5.131(2)^2+31.821(2x)-3.333\\y(2)= 39.785 \approx 40

Therefore, the number of people in the line at 7 a.m. is 40

D id the correct option.

5 0
3 years ago
Which algebraic expression represents “the difference of fifty-four and seven times a number”?
JulsSmile [24]

Answer:

The difference of fifty-four and seven times a number is written as 54 - 7x.

Step-by-step explanation:

Given: expression “the difference of fifty-four and seven times a number”

We have to write the given algebraic expression represents “the difference of fifty-four and seven times a number”

Consider the given algebraic expression represents “the difference of fifty-four and seven times a number”

Let the number be x

Then, seven times a number is 7x

And the difference of fifty-four and seven times a number is written as 54 - 7x.

Thus, The difference of fifty-four and seven times a number is written as 54 - 7x.

4 0
3 years ago
Read 2 more answers
Which of the following best represents a compound?
Ronch [10]

Answer:

The answer to your question is: Salt

Step-by-step explanation:

Element: is a substance that cannot be converted into another substance.

Compound: is a substance that is formed by 2 or more elements.

Mixture: is a substance composed by 2 or more compounds.

Iron                            it is an element

Salt                            it is a compound

River sediment        it is a mixture

Ocean water           it is a mixture

7 0
3 years ago
Write and solve a proportion to answer the question.<br> What percent of 60 is 18?
nevsk [136]
30 .....................................
7 0
3 years ago
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