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skad [1K]
3 years ago
9

50 PTS Please Make sure its easy to understand

Mathematics
2 answers:
Komok [63]3 years ago
4 0

Answer:

1. -95

2. 15

3. 5th Floor (-4 + 9)

Step-by-step explanation:

kkurt [141]3 years ago
3 0

Answer:

1) -95.

2) 15.

3) The conference center is on floor 5.

Step-by-step explanation:

1) Evaluating gives -52-30-13=-(52+30+13)=-(95)=-95.

2) Substituting gives x+27=(-12)+27=15.

3) After going 4 floors down, we are on level -4. After going 9 floors up to the desired room, we are on level -4+9=5. So the conference center is on floor 5.

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NCn is __________ equal to 1. <br> always<br> sometimes<br> never
Black_prince [1.1K]
<span>NCn is always equal to 1. </span>
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3 years ago
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Consider the ratio 3:5. Can you create an equivalent ratio by adding the same number to each quantity in the ratio? Explain
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Yes because the unit rate would be 1:2 and that's the rate of change in which 3:5 has.
HOPE IT HELPS!!
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Which expression is the factorization of x2 + 10x + 21?
LiRa [457]
<h2><u>Sol</u><u>ution</u><u>:</u></h2>

Equation: x² + 10x + 21

<u>Step</u><u> </u><u>1</u><u>:</u> Find two numbers that can add up to 10 and be multiplied to 21. We have: 7 & 3, in the sense that 7+3=10, and 7×3=21. Replacing 10 with 7+3, the equation is now → x² + 7x + 3x + 21

<u>Step</u><u> </u><u>2</u><u>:</u> Get the new equation bracketed → (x² + 7x) (+3x + 21)

<u>Step</u><u> </u><u>3</u><u>:</u> Use 'x' in the equation. For the first part, we have 'x'. x² = x × x so, bring out one x out side the bracket, divide 7x by = 7 → x (x +7). Do the same for the second part by dividing 21 by 3 = 7, and then bringing out 3 from the bracket → 3 (x + 7).

Bringing everything together, we have: x(x+7) +3(x+7) → (x+3) (x+7)

<h3><u>Final</u><u> </u><u>ans</u><u>wer</u><u>:</u></h3>

(x+3) (x+7)

<h3 />

4 0
2 years ago
Simplify the expression (7x2 − 3x) + 4x2. 8x 8x2 3x2 − 3x 11x2 − 3x NextReset
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7 0
3 years ago
Write the complex number -2+2i in polar form
FromTheMoon [43]
For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi

start with the modulus r=sqrt(a^2 +b^2)
                                     =sqrt(-2^2 +2^2)
                                     = sqrt(4+4)
                                     =sqrt(8)
                                     =2sqrt(2)

next the argument, firstly arg=tan(b/a)
                                              = tan(2/2)
                                              =tan(1)
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Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
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     = 3pi/4

add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)

note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i

Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi

Hopefully this has been clear enough and good luck

8 0
3 years ago
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