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melisa1 [442]
3 years ago
15

Factorise the following completely: (4 marks)a)a) 81

Mathematics
2 answers:
mojhsa [17]3 years ago
7 0

Answer:

Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers

Assoli18 [71]3 years ago
3 0
Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.
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Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

8 0
3 years ago
Find an equation that is perpendicular to the x-axis and passes through the point (7,13)
rjkz [21]

Answer:

x = 7

Step-by-step explanation:

A line perpendicular to the x- axis is a vertical line parallel to the y- axis.

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line goes through

The line goes through (7, 13) with x- coordinate of 7, thus

x = 7 ← equation of perpendicular line

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Samantha is 9 years younger than her brother Maurice. In 10
kozerog [31]

Step-by-step explanation:

hope you can understand

7 0
2 years ago
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ivolga24 [154]

Answer:

The answer is C

Step-by-step explanation:

The roots are −1.87938524, 0.34729635, 1.53208888, −1.87938524, 0.34729635, and  1.53208888. That's 6 roots, which is C.

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A coin bank has 17 coins that contains only dimes and quarters. The coins are worth $3.35. How many of each coin are in the bank
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Answer:7 quarters and 6 dimes

Step-by-step explanation:

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