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Sonbull [250]
3 years ago
5

Please help with this.

Mathematics
2 answers:
satela [25.4K]3 years ago
7 0

Answer:

Well Dustin the way you rock that orange t shirt today in your summer school class I could really help you out.

Step-by-step explanation:

I suggest not using websites to cheat.

Sergeeva-Olga [200]3 years ago
5 0
Y = mx+b

y=kx
the equation of direct variation with no y-intercept.
the line passes (0,0) so the line a and b are the answers.
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What is the difference? 5/3-1/2<br><br>A. 4<br>B. 7<br>C. 7/6<br>D. 7/0 = undefined
Fofino [41]
The answer is:  [C]:  " ⁷/₆ " .
____________________________________
  Note:
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   (5/3) - (1/2) = ? ;
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The LCD (lowest common denominator) of "2 and 3" is "6" ;

So we need to rewrite EACH fraction in the problem as a fraction with "6" in the denominator ;
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 (5/3) = (?/6) ?  ;  (6÷3=2) ;  (5/3) = (5*2)/(3*2) = 10/6 ;
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(1/2) = (?/6) ? ; (6÷2=3) ;  (1/2) = (1*3)/(2*3) = 3/6 ;
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Rewrite the problem:   "    (5/3) - (1/2) " ;  as:
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   10/6 - 3/6  ;
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    10/6 - 3/6 = (10 - 3) / 6 = (7/6) = 1 ⅙ .
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The answer is:  " ⁷/₆ " ;  or, write as:   " 1 ⅙ " ; which corresponds to: 
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Answer choice:  [C]:  " ⁷/₆ " .
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5 0
3 years ago
Which of the following are square roots of —8 + 8i/3? Check all that apply.
8090 [49]

Answer:

Options (2) and (3)

Step-by-step explanation:

Let, \sqrt{-8+8i\sqrt{3}}=(a+bi)

(\sqrt{-8+8i\sqrt{3}})^2=(a+bi)^2

-8 + 8i√3 = a² + b²i² + 2abi

-8 + 8i√3 = a² - b² + 2abi

By comparing both the sides of the equation,

a² - b² = -8 -------(1)

2ab = 8√3

ab = 4√3 ----------(2)

a = \frac{4\sqrt{3}}{b}

By substituting the value of a in equation (1),

(\frac{4\sqrt{3}}{b})^2-b^2=-8

\frac{48}{b^2}-b^2=-8

48 - b⁴ = -8b²

b⁴ - 8b² - 48 = 0

b⁴ - 12b² + 4b² - 48 = 0

b²(b² - 12) + 4(b² - 12) = 0

(b² + 4)(b² - 12) = 0

b² + 4 = 0 ⇒ b = ±√-4

                     b = ± 2i

b² - 12 = 0 ⇒ b = ±2√3

Since, a = \frac{4\sqrt{3}}{b}

For b = ±2i,

a = \frac{4\sqrt{3}}{\pm2i}

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But a is real therefore, a ≠ ±2i√3.

For b = ±2√3

a = \frac{4\sqrt{3}}{\pm 2\sqrt{3}}

a = ±2

Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)

Options (2) and (3) are the correct options.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

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Plug the values into the formula to find volume.

Volume = \frac{1}{3}*36*\sqrt{7}

Volume = 12*\sqrt{7}

Volume = 12\sqrt{7} cubic units

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Step-by-step explanation:

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