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3 years ago

2+6y=3x+4 write the equation so that y is a function of x

Mathematics

2 answers:

Rasek [7]3 years ago

6 0

Answer:

y = x/2 +1/3

Step-by-step explanation:

soln.

2+6y = 3x +4

6y = 3x +4-2

6y = (3x + 2)

y = (3x + 2)/6

y = x/2 +1/3

plz..

mark it as a brilliant answer

Anna007 [38]3 years ago

5 0

Start with

$2+6y=3x+4$

Subtract 2 from both sides:

$6y=3x+4-2 \iff 6y=3x+2$

Divide both sides by 6:

$y=\dfrac{3x+2}{6}$

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3 years ago

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Find the value of 10!/(10-3)!

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4 years ago

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There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum

stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

Volume of aluminium available is 1000 cubic centimeters

Shape of trophy is right square pyramid

Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

Formula for volume of right square pyramid,

$Volume, V = a^{2}\frac{h}{3}$ .....................................(1)

Where, a - Base edge value

h - Height of pyramid

From given,

a = 10 cm

h = 13 cm

Equation (1) becomes,

$= 10^{2}(\frac{13}{3} )$

$= (100)(4.333)$

$= 433.33 cm^{3}$

Volume of trophy = 433.33 cubic centimeters

Compare with the volume of available aluminium and volume of right square pyramid,

$Volume of available aluminium > Volume of right square pyramid$

$1000 cm^{3} > 433.33 cm^{3}$

So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

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Mount Belinda is the highest point in the South Sandwich Islands, with a peak of 1,370 meters above sea level. The South Sandwic

AveGali [126]

Question is not complete. Complete question is;

Mount Belinda is the highest point in the South Sandwich Islands, with a peak at about 1,370 meters above sea level. The South Sandwich Trench, which lies about 100 kilometers (62 miles) to the east of the South Sandwich Islands, is about 8,428 meters below sea level (at its lowest point).

Part A: What is the difference in elevations between Mount Belinda and the South Sandwich Trench?

Part B: Is the elevation halfway between the peak of Mount Belinda and the South Sandwich Trench above sea level or below sea level? Give your explanation without calculating the exact value.

Part C: What elevation is halfway between the peak Mount Belinda and the South Sandwich Trench?

Answer:

A) 100478.86 metres

B) Explained below.

C) 50239.43 metres

Step-by-step explanation:

I have attached an image showing the elevations as depicted in the question.

MB represents peak of Mount Belinda while SS represents lowest point of South Sandwich Islands.

A) Now, total vertical distance from peak of MB to lowest point of SS is;

8428 + 1370 = 9798 metres

Since the horizontal distance between MB and SS is 100000 metres, then we can use pythagoras theorem to find the Elevation between MB and SS.

If the Elevation is x.

Thus;

x = √(9798² + 100000²)

x = 100478.86 metres

B) The Elevation between peak of MB and lowest point of SS will be halfway below the sea level because the distance from the lowest point of SS from the sea level is 5 times bigger than the distance from peak of MB to the sea level.

C) The halfway Elevation between peak MB and lowest SS will be;

100478.86/2 = 50239.43 metres

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