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skad [1K]
3 years ago
9

What is 90y-10x-10 in simplest form

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0
90y - 10x - 10

First, find the greatest common factor (GCF)
10 is the largest number that divides evenly into 90y, -10x, and -10.
The GCF is 10.

Second, factor out the GCF.
Put the GCF as the first term
In parentheses, divide each term by the GCF
10 (\frac{90y}{10}  +  \frac{-10x}{10} -  \frac{10}{10} )

Third, simplify each term in the parentheses. / Your problem should look like: 10(9y - x - 1)

Answer: 10(9y - x - 1)

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Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]
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Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\

f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)

4 0
3 years ago
The difference of a number and five divided by 10​
Hunter-Best [27]

Answer:

(n-5) ÷ 10

Step-by-step explanation:

7 0
3 years ago
Which pair shows equivalent expressions?
Dmitry_Shevchenko [17]

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

2(\frac{2}{5}x + 2)

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2

So, 2(\frac{2}{5}x + 2) =\frac{4}{5}x+4

Answer:Option (b)

2(\frac{2}{5}x+4)

Applying distributive property, a(b+c)=ab+ac

2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4

2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4

2(\frac{2}{5}x+4) =\frac{4}{5} x+8

So, Option (B) is correct.

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3 years ago
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Express the measurement 4.29478416 kg with 8, 6, 4, and 2 significant figures
ira [324]

Significant figures refers to digits within a number which must be included in other depict correct quantity of the figure.

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To round a number to a certain number of significant figures,

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