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3 years ago

Theories on dividing by "0". I think its infinity what about you?

Mathematics

1 answer:

rewona [7]3 years ago

3 0

Hello from MrBillDoesMath!

Answer: The quotient is not a number at all. It's simply undefined.

Discussion:

Consider the numbers "a" and "b" and further suppose that

a/0 = b

Multiplying both sides by 0 gives

(a/0) * 0 = b * 0

Cancelling the highlighted 0s gives a = 0!. Something is wrong here as "a" is not equal to zero! The error was produced by assuming the divison by 0 yield a number.

You will encounter this "divide by zero" matter several times in a Calculus courses.

Regards, MrB

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Write the product as a trinomial.(k – 1)(k – 4)

SashulF [63]

(k - 1)(k - 4)

Use FOIL to solve this.

First
k * k
Outer
k * -4
Inner
-1 * k
Last
-1 * -4

k^2 - 4k - 1k + 4

k^2 - 5k + 4 is the trinomial.

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Is the ans i got correct?<br>the total surface area is 33.8cm² <br>

ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

$A_1=\dfrac{\sqrt{3}}{4}a^2$

Where, a is the side length.

Putting $a=2$ , we get

$A_1=\dfrac{\sqrt{3}}{4}(2)^2$

$A_1=\dfrac{\sqrt{3}}{4}(4)$

$A_1=\sqrt{3}$

$A_1\approx \sqrt{3}$

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

$LA=Ph$

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

$A_2=(2+2+2)5$

$A_2=(6)5$

$A_2=30$

Now, the total surface area is the sum of areas of bases and lateral surface area.

$A=2A_1+A_2$

$A=2(1.73)+30$

$A=3.46+30$

$A=33.46$

Therefore, the total surface area is 33.46 cm².

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