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3 years ago

Help me find the slope to 0,0 and 6,1

Mathematics

2 answers:

Molodets [167]3 years ago

5 0

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the Slopes and gradient.

slope, m = y2-y1/ x2-x1

hence, m = 1-0/ 6-0

m = 1/6

hence slope = 0.166

boyakko [2]3 years ago

4 0

The guy above is correct

But wouldn’t want to make you waste your points so now I will get them.

Thank you!!!

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solniwko [45]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

There are 162 magazines and books in a library. There are 54 more books

Strike441 [17]

Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

Given the following data;

Total number of m & b = 162

Translating the word problem into an algebraic equation, we have;

$b = m + 54$ ......equation 1

$m + b = 162$ ......equation 2

Substituting equation "1" into equation "2" we have;

$m + m + 54 = 162$

$2m + 54 = 162$

$2m = 162 - 54$

$2m = 108$

$m = \frac {108}{2}$

m = 54

Now to find the number of books;

$b = m + 54$

Substituting the value of "m" into the equation, we have;

$b = 54 + 54$

b = 108

Therefore, the total number of books in the library is 108 books.

7 0

3 years ago

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

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1 year ago

Rectangle Given:1=15 m, w=6m,A=

sashaice [31]

Answer:

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