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3 years ago

What is the slope of the line determined by the equation -1/2x+3/4y=0

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Answer:

The slope is 2/3

Step-by-step explanation:

-1/2x+3/4y=0

To find the slope, we need to get the equation in the form y= mx+b

Add 1/2x to each side

-1/2x+ 1/2 x+3/4y=0+1/2x

3/4 y = 1/2x

Multiply by 4/3 to isolate y

4/3 * 3/4 y = 4/3 * 1/2 x

y = 2/3 x

The slope is 2/3 and the y intercept is 0

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Solve the value of n

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9n+2+34=90
9n=54
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3 years ago

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Shadily softball team has a phone tree in case the game is canceled the coach calls three players then each of those players cal

irga5000 [103]

Answer: 27 players will be notified during the third round of calls.

Step-by-step explanation:

In case the game is canceled, the coach calls three players. This means that if each of these three players call three more players, the number of players that will be notified during second round of call would be

3 × 3 = 9 players.

If each of these nine players call three more players, the number of players that will be notified during third round of call would be

9 × 3 = 27 players.

The total number of players that would have been notified is

3 + 9 + 27 = 39 players

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3 years ago

On a coordinate plane, triangle A B C is shifted 4 units up and 3 units to the left to form triangle A prime B prime C prime. Tr

VARVARA [1.3K]

Answer:

(–2, 5)

Step-by-step explanation:

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3 years ago

Justin wanted to wrap his moms birthday present shaped like a rectangular prism with pretty paper. The box is 2.1 feet long, 2.7

JulijaS [17]

Answer:

42.06 ft²

Step-by-step explanation:

2 sides = 2(2.7 ft × 3.2 ft) = 2 × 8.64 ft² = 17.28 ft²

Front + back = 2(2.1 ft × 3.2 ft) = 2 × 6.72 ft² = 13.44 ft²

Top + bottom = 2(2.1 ft × 2.7 ft) = 2 × 5.67 ft² = <u>11.34 ft² </u>

Total area = 42.06 ft²

5 0

3 years ago

A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,

Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

= x²y cubic feet

1000 = x²y

y = $\frac{1000}{x^2}$ -------(1)

Material used in the prism = Surface area of the rectangular prism

= 2(lb + bh + hl)

Here, h = height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

S = 2(x² + 2xy) - x²

S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + $2x(\frac{1000}{x^{2} })$

= x² + $\frac{2000}{x}$

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - $\frac{2000}{x^{2} }$

2x - $\frac{2000}{x^{2} }$ = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = $\frac{1000}{(10)^2}$

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0

3 years ago