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CaHeK987 [17]
3 years ago
11

Solve for y given that this is a right triangle. Simplify answers completely. No decimals.

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

y = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

y² = 8² + 4² = 64 + 16 = 80 ( take the square root of both sides )

y = \sqrt{80} = \sqrt{16(5)} = 4\sqrt{5} ← exact value

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use the accompanying statcrunch session to obtain a simple random sample of 5 high schools in the city of chicago. loading... cl
svetoff [14.1K]

Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:

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<h3>What is the missing information?</h3>

The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.

<h3>What is population and sample?</h3>

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2 years ago
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Read 2 more answers
2 ln(x + 2) − ln(−x) = 0
enyata [817]

Answer:

x=-1

Step-by-step explanation:

Rewrite the equation using the next propierties:

log(\frac{1}{x} )=-log(x)

ylog(x)=log(x^{y} )

log(x*y)=log(x)+log(y)

ln((x+2)^2)+ln(\frac{-1}{x} )=0\\ln(\frac{(x+2)^2}{-x})=0

Cancel logarithms by taking exp of both sides:

\frac{(x+2)^2}{-x} =e^{0} =1

Multiplying both sides by -x and factoring:

x^{2} +5x+4=0

Factoring:

(x+1)(x+4)=0

The solutions are:

x=-1\hspace{3}or\hspace{3}x=-3

Evaluating x=-4

2ln(-2)-(4)=0

This is an absurd because ln(x) is undefined for x\leq 0

Evaluating x=-1

2ln(1)-ln(1)=0\\0-0=0

Which is correct, hence the solution is:

x=-1

6 0
4 years ago
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