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borishaifa [10]
3 years ago
11

Write the product(2+7i)(2-7i) in the form a+bi

Mathematics
1 answer:
Rama09 [41]3 years ago
6 0

Answer:

53

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

(2 + 7i)(2 - 7i)

(2 * 2) + (2 * -7i) + (7i * 2) + (7i * -7i)

4 + -14i + 14i + -49i^{2}

4 + -49i^{2}                     (i^{2} = -1)

4 + (-49 * -1)

4 + 49

53.

53 is the result.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

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Tyler's family has 4 children. How many ways can they line up to get their flu shot at the doctor?
Andrews [41]

Answer:

16 if im correct

Step-by-step explanation:

4x4=16.

aaaaaa im sorry i did not know that I did not know this :C ill try

6 0
3 years ago
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Andru [333]

Answer:

y = 18 * 1.15^x

Step-by-step explanation:

Given

a = 18 --- initial

r =15\% -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

y = ab^x

Where

b=1 +r

Substitute r =15\% in b=1 +r

b = 1 + 15\%

b = 1 + 0.15

b = 1.15

Substitute b = 1.15 and a = 18 in y = ab^x

y = 18 * 1.15^x

5 0
3 years ago
What number must be added to the expression below to complete the square? x^2+x. a.1/4 b.1/2 c.2 d.1
torisob [31]

Option a. 1/4 is the right answer

Step-by-step explanation:

Given expression is:

x^2+x

Here

we know that

a = x

In order to find the number which should be added

comparing with the formula

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

2ab = x\\2.x.b = x\\b=\frac{x}{2x}\\b = \frac{1}{2}

So, we will add the square of 1/2 which is 1/4

Hence,

Option a. 1/4 is the right answer

Keywords: Expressions, polynomials

Learn more about polynomials at:

  • brainly.com/question/629998
  • brainly.com/question/6208262

#LearnwithBrainly

3 0
4 years ago
32 - 22 + 5m
Lunna [17]
Your answer you need is D
7 0
3 years ago
Read 2 more answers
Drag each tile to the correct location on the image. Each tile can be used more than once, but not all images will be used.
OverLord2011 [107]

Answer:

Switch x and y, and solve for y

f^{-1}(x) =\frac{(x -4)^3}{8}

Step-by-step explanation:

Given

f(x) = 3\sqrt{8x} + 4

Required

Complete the steps to determine the inverse function

Solving (a): Complete the blanks

Switch x and y, and solve for y

Solving (b): Determine the inverse function

f(x) = \sqrt[3]{8x} + 4

Replace f(x) with y

y = \sqrt[3]{8x} + 4

Switch x and y

x = \sqrt[3]{8y} + 4

<u>Now, we solve for y</u>

Subtract 4 from both sides

x -4= \sqrt[3]{8y} + 4-4

x -4= \sqrt[3]{8y}

Take cube roots of both sides

(x -4)^3= 8y

Divide both sides by 8

\frac{(x -4)^3}{8} = y

So, we have:

y =\frac{(x -4)^3}{8}

Hence, the inverse function is:

f^{-1}(x) =\frac{(x -4)^3}{8}

7 0
3 years ago
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