Help me please

Mathematics

1 answer:

Phoenix [80]2 years ago

8 0

Answer:

First of all, rectangles and rectangular prisms have one foremost difference, which is their dimensions. A rectangle has two dimensions whilst a rectangular prism has three. Those dimensions include width, length, and height- but a rectangle has only width and length. Although, in comparison, they're both made from the same quadrilateral: rectangles. A "2D" rectangle has one, while a "3D" rectangle, or rectangular prism, is made of six. The rectangles that make up a rectangular prism can also be referred to as faces.

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Evaluate the function f(x) = x 2 + 1 for f(2

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Divid 15 into two parts such that the sum of their reciprocal is 3/10

Klio2033 [76]

From the information obtained from the question, two equations can be created:

Let x and z be the two numbers (parts)

$\frac{1}{z} + \frac{1}{x} = \frac{3}{10}$ . . . . (1)

$z + x = 15$ . . . . (2)

By transposing (2), make 'z' the subject of the equation
$z = 15 - x$ . . . . (3)

By substituting (3) into equation (1) to find a value for x
$\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}$

$\frac{15}{( 15 - x ) ( x )} = \frac{3}{10}$

$3 ( - x^{2} + 15 x ) = 150$

$3 x^{2} - 45x + 150 = 0$

⇒ $( x - 5 ) ( x - 10 ) = 0$

∴ either $( x - 5) = 0$ OR $( x - 10 ) = 0$

Thus x = 5 or x = 10

By substituting the values of x into (2) to find z

z + (5) = 15 OR z + (10) = 15

⇒ z = 10 OR z = 5

So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.

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3 years ago