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2 years ago

A sofa is 12 years oldvand a table is 36 years omd.In how many years will the table be twice as old as the sofa ?

Mathematics

1 answer:

maw [93]2 years ago

4 0

Answer:

12 years later.

Step-by-step explanation:

Let assume in X years, the table will be twice as old as the sofa.

36+X=2(12+X), X=12

Or think it the other way. The difference of ages between two things never change. So they must have a difference(of age) of 24 forever. When will this difference(24) be as same as the younger's age so that the older one is exactly twice as old as the younger? 12 years later when the sofa is 24.

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What is the center of the ellipse x2+5y2–45=0?

jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

$\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1$

Where center is at point (h,k)

From the equation of $\displaystyle{x^2+5y^2-45=0}$ . First, we add 45 both sides:

$\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}$

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

$\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}$

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

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2 years ago

Boyle's Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 5 L , the pres

olga2289 [7]

Let P = Pressure, V = Volume and be K = constant, by definition of Boyle's Law in which says that the volume of a gas varies inversely with the pressure, we have: P = K / V 586 = K / 5 K = 2930. Then, the pressure when the volume is 2L will be: P = 2930/2 = 1465Kpa

6 0

3 years ago

1.4(0.5x+4.2y)−3.5(0.2x−1.5y)<br> simplify<br> lots of points

Vilka [71]

1,4(0,5x + 4,2y) - 3,5(0,2x - 1,5y)

1,4.0,5x + 1,4.4,2y - 3,5.0,2x + 3,5.1,5y

0,7x + 5,88y - 0,7x + 5,25y

0,7x - 0,7x + 5,88y + 5,25y

11,13y

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3 years ago

Perimeter of quadrilateral

aleksandr82 [10.1K]

Answer:

The answer to your question is: 14 + 2√40 = 26.6 units

Step-by-step explanation:

Data

A ( -5, 4) B (-3, -2) C (4, -2) D (2, 4)

Formula

d = √(x2 - x1)² + (y2 - y1)²

Perimeter = dAB + dBC + dCD + dAD

Process

dAB = √(-3 + 5)² + (-2 - 4)²

dAB = √(2)² + (-6)²

dAB = √4 + 36

dAB = √40 units

dBC = √(4 + 3)² + (-2 + 2)²

dBC = √(7)²

dBC = √49

dBC = 7 units

dCD = √(2 - 4)² + (4 + 2)²

dCD = √(2)² + (6)²

dCD = √40 units

dAD = √(2 + 5)² + (4 - 4)²

dAD = √49

dAD = 7 units

Perimeter = √40 + 7 + √40 + 7

Perimeter = 14 + 2√40 = 26.6 units

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3 years ago

What is the y-intercept of the graph of this function?

ella [17]

Answer:

good question

Step-by-step explanation:

4 0

3 years ago

A sofa is 12 years oldvand a table is 36 years omd.In how many years will the table be twice as old as the sofa ?​

A sofa is 12 years oldvand a table is 36 years omd.In how many years will the table be twice as old as the sofa ?