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solong [7]
3 years ago
10

Simplify the expression (√3 + i)(√3- i) and write the result in the form a+bi.

Mathematics
1 answer:
goblinko [34]3 years ago
8 0

Answer: D) 4

Step-by-step explanation:

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Tina must select and answer in any order three of seven
Leno4ka [110]

Answer:

Tina can select and answer the essay questions on her test in 35 ways.

Step-by-step explanation:

The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Three questions from a set of 7. So

C_{7,3} = \frac{7!}{3!(7-4)!} = 35

Tina can select and answer the essay questions on her test in 35 ways.

6 0
2 years ago
The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 19
alexgriva [62]

Answer:

p(t) = 0.19e0.10t

=>p'(t) = 0.19e0.10t (0.10*1)

=>p'(t) = 0.019e0.10t

t = 0 represents 1994

for 2002, t=2002-1994 =8

in 2002

average price =p(8)

=>average price = 0.19e0.10*8

=>average price =0.422853... million

rate of increase =p'(8)

=>rate of increase = 0.019e0.10*8

=>rate of increase =0.0422853... million per year

p(8)=$ 0.42 million

p'(8)=$ 0.042 million per year

4 0
2 years ago
Which could be the graph of f(x)=|x-h|+k if h and k are both positive
julia-pushkina [17]

The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).

Answer: correct choice is A.

6 0
3 years ago
Read 2 more answers
Continuation of the other six questions find the value of eggs and tangent 
n200080 [17]

Answer:

Step-by-step explanation:

1) ?

I can't see what that one given angle is ..  but it's that  mystery angle subtracted from 180 give the angle   BOA   then you know that's an isosceles triangle again that the BOA is part of... so then just subtract BOA from 180 to find the two other angle of that triangle... they are the small so just divide your answer of  180-BOA /2 is the angle of each.. then since you know those to smaller angles subtract one from 90  to find the angle BAX

2) ( as we would read normally)

You're making this really tough on me.. I can just barely read the equations

I think it's  1+6x  and 7x-3  .  b/c they are the same length sides you can set those equal

1+6x = 7x -3

4+6x = 7x

4 = x

that worked out well :

for the tangent..   it's   Tan(Ф)= Opp/ Adj

but I don't know which side they want to solve for.. I think you may have left off some of the instructions????  :/

ohh I think they really mean.. what's the length of the tangent lines .. that was confusing to me.. :/ just plug in 4 into x for either eq.

1+6(4) = 25

or

7(4)-3=25

tangent is 25

3)

x-2 = 2x-10

x+8 = 2x

8 = x

again they made it work out easy :)

Then plug 8 into either equation to find the length of the tangent lines

8-2=10

tangent is 10

4) = 2)   ??? they are the same question  maybe  you meant to put something else?

5 0
2 years ago
Which shows two triangles that are congruent by AAS?<br><br> A, B, C, or D
Iteru [2.4K]

The Answer is A. Hope I helped!

3 0
3 years ago
Read 2 more answers
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