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larisa [96]
3 years ago
10

1. Simplify .* a) (x - 1)(x2 + x + 1)​

Mathematics
1 answer:
tangare [24]3 years ago
7 0

Answer:

x=1

Step-by-step explanation:

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Which angle has a sine of -1/2 and a cosine of -√3/2
Sergeeva-Olga [200]
\sin x=-\dfrac{1}{2} < 0\\\\\cos x=-\dfrac{\sqrt3}{2} < 0\\\\therefore\ x\in(180^o;\ 270^o)

\text{We know:}\ \tan x=\dfrac{\sin x}{\cos x}\\\\\text{therefore:}\ \tan x=\dfrac{-\frac{1}{2}}{-\frac{\sqrt3}{2}}=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt3}=\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}

\tan x=\dfrac{\sqrt3}{3}\Rightarrow x=30^o+180^o\cdot k;\ k\in\mathbb{Z}

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8 0
3 years ago
Dividethe product of 45 and25 by the sum of 53 and37
Serhud [2]

Answer:

12.5

Step-by-step explanation:

First you times 45 and 25 together, since product means multilpication. 45*25= 1125

Then you add 53 and 73, which is 90. Then you divide, which equals to the sum of 12.5. Hope this helps!

5 0
3 years ago
Find the coordinates of the midpoint of AS if A(-4, 7) and S(5,3).
lesya692 [45]

Answer:

The answer is

<h2>( \frac{1}{2}  \: ,  \: 5)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-4, 7) and S(5,3)

The midpoint is

<h3>M  = ( \frac{ - 4 + 5}{2} , \:  \frac{7 + 3}{2} ) \\  = ( \frac{1}{2} , \:  \frac{10}{2} )</h3>

We have the final answer as

<h3>( \frac{1}{2}  \: ,  \: 5)</h3>

Hope this helps you

8 0
3 years ago
Read 2 more answers
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