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Vedmedyk [2.9K]
2 years ago
10

The numerator of the expression 3-x/x-3 can be written as

Mathematics
1 answer:
Ierofanga [76]2 years ago
3 0

Answer:

The answer is -(x-3)

Step-by-step explanation:

It can be written as a negative number so it can be divided/cut :

3 - x = -x + 3

= -(x+3)

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Centroid of triangle with vertices (0,0) ,(3,0) & (0,-3) is……. [ ]
Firdavs [7]

Answer:

b

Step-by-step explanation:

centroid

x=(x1+x2+x3)/3=(0+3+0)/3=3/3=1

y=(y1+y2+y3)/3=(0+0-3)/3=-3/3=-1

centroid =(1,-1)

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2 years ago
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How much greater is the area of a square with a side length of 9 inches than the area of a circle with a radius of 3 inches?
fredd [130]
The area of the square is 81 sq in, and the area of the circule is (3.14)(3 in)^2, or approx 3.14(9) sq in, or approx  28.27 sq in.

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3 years ago
Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it
Zanzabum

Answer:

\beta=45\degree\:\:or\:\:\beta=135\degree

Step-by-step explanation:

We want to solve \tan \beta \sec \beta=\sqrt{2}, where 0\le \beta \le360\degree.

We rewrite in terms of sine and cosine.

\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}

\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}

Use the Pythagorean identity: \cos^2\beta=1-\sin^2\beta.

\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}

\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)

\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta

\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0

This is a quadratic equation in \sin \beta.

By the quadratic formula, we have:

\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }

\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }

\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }

\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }

\sin \beta=\frac{2}{2\cdot \sqrt{2} } or \sin \beta=\frac{-4}{2\cdot \sqrt{2} }

\sin \beta=\frac{1}{\sqrt{2} } or \sin \beta=-\frac{2}{\sqrt{2} }

\sin \beta=\frac{\sqrt{2}}{2} or \sin \beta=-\sqrt{2}

When \sin \beta=\frac{\sqrt{2}}{2} , \beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )

\implies \beta=45\degree\:\:or\:\:\beta=135\degree on the interval 0\le \beta \le360\degree.

When  \sin \beta=-\sqrt{2}, \beta is not defined because -1\le \sin \beta \le1

4 0
3 years ago
What free resources would you recommend for assistance in maths?
Andru [333]
Usually bbc bitesize is what I use for basically everything. Here’s a link:
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Please solve numbers 16-17
Gelneren [198K]

Answer:

-1 :)

Step-by-step explanation:

4 0
2 years ago
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