The area of a square is 225 square inches.find the length of one side

Let a and b be real numbers satisfying a^3 - 3ab^2 = 47 and b^3 - 3a^2 b = 52. Find a^2 + b^2.

boyakko [2]

Answer: a²+b² = -99/2

Step-by-step explanation:

Since we are given two equations, this equations will be solved simultaneously to get a² and b²

a³ - 3ab² = 47 ... 1

b³ - 3a² b = 52... 2

From 1, a(a² - 3b²) = 47...3

From 2, b(b² - 3a²) = 52... 4

Adding 3 and 4, we have;

a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)

a²+b²-(3b²+3a²) = 99

(a²+b²) -3(b²+a²)= 99

Taking the difference we have

- 2(a²+b²) = 99

a²+b² = -99/2

8 0

3 years ago

PLEASE HELP ASAP

dexar [7]

Answer:

A.-4x^2y^4

that the answer

3 0

2 years ago

Find the variation constant and an equation of variation where y varies directly as x and y=16 when x=2

Jlenok [28]

Answer:

variation constant = k = 8

equation of variation : y = 8x

Step-by-step explanation:

Any relationship of variation can be written as y = kx

where k is the variation constant.

_______________________________________

Let the equationof relation between y and x be y =kx here as well

given

y = 16 when x = 2

substituting this value in the equation y = kx

16 = k*2

=> k = 16/2 = 8

Thus,

variation constant = k = 8

equation of variation : y = 8x

5 0

3 years ago

A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. The base is

Readme [11.4K]

Answer:

26.4ft²

Step-by-step explanation:

I first converted the centimeter values to feet

140Cm x 30.48 = 4.59

70cm x 30.48 = 2.3

the paper required is approximately equal to the area of the pyramid.

area of pyramid is equal to area of triangle + base²

Are of triangle = 1/2 x b xh

= 4 x 1/2 x4.59x2.3 + (2.3)²

= 2 x 4.59 x 2.3 + 5.29

= 26.4 feet²

therefore it will take 26.4 feet² paper to make each tree, including the bottom.

8 0

3 years ago

Select the correct answer.<br> Which of the following sets of ordered pairs represents a function?

iogann1982 [59]

Answer: {(-8, -14), (-7,-12), (-6,-10), (-5,-8)}

Step-by-step explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relations show here, notice that the first set

of ordered pairs is the only set where each x-coordinate

appears once with a different y-coordinate.

In the other ordered pairs, there is an x-coordinate that appears more

than once and it corresponds to a different y-coordinate.

For example, in the second relation,

the x-coordinate -9 appears twice.

In one case, -9 corresponds to -12 and

in the other case, it corresponds to -8.

So, this is not a function.

3 0

3 years ago