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3 years ago

The ratio between the square of a number and it's cube is 1:3 what is the number

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Call that number “x”

The square of that number is x^2

Also as the cube is x^3

The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3

<==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )

<==> x = 1 * 3 / 1 = 3

So, that number is 3 ! This math problem seems simple ;)

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The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W

Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

$x^2+y^2+4x-12y+4=0$

Collect like terms and subtract 4 from both sides:

$\implies x^2+4x+y^2-12y=-4$

Complete the square for both variables by adding the square of half of the coefficient of $x$ and $y$ to both sides:

$\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2$

$\implies x^2+4x+4+y^2-12y+36=-4+4+36$

Factor both variables:

$\implies (x+2)^2+(y-6)^2=36$

Therefore:

center = (-2, 6)
radius = √36 = 6

7 0

2 years ago

Describe the relationship between quartiles and percentiles.

Whitepunk [10]

Hello! quartiles divide data into fourths, and percentiles divide data into hundredths! hope this helps! ;)

5 0

3 years ago

Factor the following linear expressions using the greatest common factor: If it can not be factored, please write 'can not be fa

adell [148]

Answer:

1. factor

2. not factored

3. factor

Step-by-step explanation:

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3 years ago

Read 2 more answers

If f(x) = 3x + 2, then find the value of x such that f(x) = -4. A. -14 B. -10 C. -2 D. 14

erma4kov [3.2K]

Answer:

Step-by-step explanation:

f(x) = 3x+2

f(x) = -4

-4 = 3x+2

-4-2 = 3x

-6 = 3x

-6/3 = x

-2 = x

x = -2

5 0

3 years ago

S 0.5x+1: 1.5<br> 0.5x+1=1.5

BlackZzzverrR [31]

Answer:

fact or \

ap?

Step-by-step explanation:

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3 years ago

The ratio between the square of a number and it's cube is 1:3 what is the number ​

The ratio between the square of a number and it's cube is 1:3 what is the number