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KIM [24]
3 years ago
15

Rationalize the expression and simplify.

id="TexFormula1" title="\frac{\sqrt{4+h}-2 }{h}" alt="\frac{\sqrt{4+h}-2 }{h}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0
You multiply by the conjugate to both the denominator and numerator.
After that you can simplify by canceling the 4 and then you are able to simplify the (h) as well.

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Answer:

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Step-by-step explanation:

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3 years ago
The intersection of any two disjoint sets is a null set. Justify your answer.​
Ne4ueva [31]

Answer:

Yes The intersection of any two disjoint sets is a null set

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Step-by-step explanation:

8 0
3 years ago
Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
stealth61 [152]

Answer:

8.9 cm

Step-by-step explanation:


We have
\overline {UV} = 16.8 cm\\\\\overline {WV} = 7.9 cm\\\\ Since all lines are scalars, \overline{WV} = \overline{VW}\\\textrm{We see that \overline{UW} + \overline{WV} = \overline{UV}\\\\\overline {UW} \\ = \overline {UV} - \overline {WV} = 16.9 - 7.9 = 8.9 cm}

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1 year ago
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
A bowl of buttons contains 10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL]
kondaur [170]

Answer:

a) Probability of picking Two MAGA buttons without replacement = 0.15

b) Probability of picking a MAGA and GND button in that order = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = 0.167

Step-by-step explanation:

10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.

Total number of buttons = 10 + 5 + 10 = 25

Let probability of picking a MAGA button be P(M) = 10/25 = 0.4

Probability of picking a GND button be P(G) = 5/25 = 0.2

Probability of picking a NAW button be P(N) = 10/25 = 0.4

a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15

b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167

3 0
3 years ago
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