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3 years ago

Which expression is equivalent to 2/3x - 1/2y - 4/5

Mathematics

2 answers:

kipiarov [429]3 years ago

5 0

Answer:

Option B

Step-by-step explanation:

To find expression is equivalent to $\frac{2}{3}x-\frac{1}{2}y-\frac{4}{5}$ we will go through all the options.

Option A.

$\frac{1}{3}x-\frac{1}{4}^y-\frac{4}{5}+\frac{1}{3}x+\frac{1}{4}y$

$=x(\frac{1}{3}+ \frac{1}{3})- y(\frac{1}{4}- \frac{1}{4})-\frac{4}{5}$

$=\frac{2}{3}x-\frac{4}{5}$

Option B.

$\frac{1}{3}x-\frac{1}{4}y-\frac{4}{5}+\frac{1}{3}x-\frac{1}{4}y$

$=x(\frac{1}{3}+ \frac{1}{3})-y(\frac{1}{4}+ \frac{1}{4})\frac{-4}{5}$

$=\frac{2}{3}- \frac{1}{2}y-\frac{4}{5}$

Option C.

$\frac{1}{3}x- \frac{1}{4}y- \frac{1}{5}- \frac{1}{3}x- \frac{3}{5} -\frac{1}{4}y$

$x(\frac{1}{3} -\frac{1}{3})-y(\frac{1}{4} +\frac{1}{4})-(\frac{1}{5}+ \frac{3}{5})$

$=-\frac{1}{2}y- \frac{4}{5}$

Option D.

$\frac{1}{3}x-\frac{1}{4}y+ \frac{2}{5}+ \frac{1}{3}x- \frac{2}{5}- \frac{1}{4}y$

$=x(\frac{1}{3}+ \frac{1}{3})-y(\frac{1}{4} +\frac{1}{4})+(\frac{2}{5}- \frac{2}{5})$

$=\frac{2}{3}x- \frac{1}{2}y$

Therefore, Option B is the answer.

Vlad [161]3 years ago

3 0

B) 1/3x + 1/3x=2/3x
-1/4y - 1/4y= -1/2y

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Write a translation rule that maps point D(7, −3) onto point D'(2, 5).

12345 [234]

Answer:

The translation rule is described by $D'(x,y) =(x-5,y+8)$ .

Step-by-step explanation:

According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:

$D'(x,y) = D(x,y) +U(x,y)$ (Eq. 1)

Where:

$D(x,y)$ - Original vector with respect to origin, dimensionless.

$D'(x,y)$ - Translated vector with respect to origin, dimensionless.

$U(x,y)$ - Translation vector with respect to original vector, dimensionless.

From (Eq. 1) we get that translation vector is:

$U(x,y) = D'(x,y)-D(x,y)$

If we know that $D(x,y) = (7,-3)$ and $D'(x,y) =(2,5)$ , then the translation vector is:

$U(x,y) = (2,5)-(7,-3)$

$U(x,y) = (-5,8)$

And we find the translation rule by assuming that $D(x,y) = (x,y)$ and $U(x,y) = (-5,8)$ in (Eq. 1):

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The translation rule is described by $D'(x,y) =(x-5,y+8)$ .

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3 years ago

2x-y=5solve the equation for y

Taya2010 [7]

2x-y=5 Subtract 2x from both sides -y=-2x+5 Multiply everything by -1 y=2x-5 would be your answer

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3 years ago

4 × square root of 3

Oksi-84 [34.3K]

<h3><u>Solution</u><u>:</u></h3>

Please find the photograph for the square root of 3.

Firstly, you have to write 3 as 3. 00 00 00.
Then we should find out the root of the perfect square which is less than 3. Here, 1 is the required perfect square root because 1 × 1 = 1 only which is less than 3.
Now 3 - 1 = 2 and we are placing 2 zeros after it so that it will be 200. Now we have to add 1 with the divisor 1 which will be 2. Then we have to select a number to be placed beside this 2 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 200. We see that if we place 7 after 2 and multiply 27 with 7, we get 189 which is less than 200.
Now 200 - 189 = 11 and we are placing 2 zeros after it so that it will be 1100. Now we have to add 7 with the divisor 27 which will be 34. Then we have to select a number to be placed beside this 34 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 1100. We see that if we place 3 after 34 and multiply 3 with 343, we get 1029 which is less than 1100.
Now 1100 - 1029 = 71 and we are placing 2 zeros after it so that it will be 7100. Now we have to add 3 with the divisor 343 which will be 346. Then we have to select a number to be placed beside this 346 in such a way that if we multiply this combined number with the new number, then we will get a number which is less than 7100. We see that if we place 2 after 346 and multiply 2 with 3462, we get 6924 which is less than 7100.
So, we will get the quotient as 1.732 (corrected to three places of decimal).

4√3

= 4 × 1.732

= 6.928

<h3><u>Answer:</u></h3>

Hope it helps

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2 years ago

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elena-s [515]

Answer:

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Step-by-step explanation:

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We approximate to the nearest tenth to get:

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