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Verizon [17]
3 years ago
9

HELP DUE TODAY PLSSS

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

x=12

Step-by-step explanation:

32/2x = x/9; because the triangles are similar

32 = 2x^2/9

288 = 2x^2

144 = x^2

x = 12 or x = -12, but the latter is nonsensical.

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Use the method in the Example to find the square roots of 1 + √3i
kiruha [24]

Answer:

\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)

Step-by-step explanation:

Given

z = 1 + √3 i

Let \sqrt{1+\sqrt(3) i}=p+iq

Squaring both sides

1+\sqrt(3) i=p^2-q^2+2ipq

Comparing real and imaginary part

Re(LHS)=Re(RHS)

1=p^2-q^2...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

q=\frac{\sqrt{3}}{2p}

Substitute q in equation (1)

1=p^2-(\frac{\sqrt{3}}{2p})^2

p^4-p^2-0.75=0

Let x=p^2

x^2-x-0.75=0

x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}

x=\frac{1\pm 4}{2}

we take only Positive value because p^2=x

x=2.5  

p^2=2.5

thus p=\pm 1.58

q=\pm 0.548

thus,

\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)

5 0
4 years ago
i need help answering this but also how to do it like step by step. i don’t understand this. (9 + 7x) - 7x
anyanavicka [17]

Answer: 9

Step-by-step explanation: so first you remove the ( ) because they’re useless in this then once you remove then Since two opposites add up to zero, remove them from the expression then you only get left with 9.

7 0
3 years ago
How much did jennie earn if she got $40 for babysitting plus a 15% tip
vazorg [7]

Answer:

$46

Step-by-step explanation:

100% of 40 is 40. 10 percent of 40 is 4. 5% of 40 is 2. 40+4+2=46.

7 0
2 years ago
Why might you complete a 1040 instead of a 1040EZ?
Katyanochek1 [597]
<span>Your taxable income must be less than $100,000 and only come in the form of wages</span>
6 0
3 years ago
Use place-value patterns to complete the table. 100 is ten times as much as 1/10 of?
Eva8 [605]
100 is ten times as much as 1/10 of a hundred

ur multiplying n then dividing by ten so they cancel each other out 

theres no table so idk if this is what u wanted but that's the answer
hope it helps

3 0
4 years ago
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