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3 years ago

The question that follows this graph is:

Mathematics

1 answer:

azamat3 years ago

6 0

Answer:

S'(5,-1), M'(1,-3)

Step-by-step explanation:

So, if the rotation is clockwise, the formula is (x,y)--->(-x,-y).

The original points are, (-1,3) and (-5,1).

Using the formula,

(-1,3) ----> (1,-3)

(-5,1) ----> (5,-1)

For the question in the image, the reflection over the x-axis is..

S'(-5,1) ---> (-5,-1)

M'(1,-3) ---> (-1,-3)

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The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

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2 years ago

(ILL GIVE BRAINLIEST!!)<br><br><br> What is friction and when does it occur?

docker41 [41]

Answer:

Friction is a force that opposes motion between any surfaces that are touching. Friction occurs because no surface is perfectly smooth. Rougher surfaces have more friction between them. ... Friction produces heat because it causes the molecules on rubbing surfaces to move faster and have more energy

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3 years ago

Read 2 more answers

(6 x 10^2) ÷ (3x 10^-5)

RideAnS [48]

The answer is 20000000

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3 years ago

Shannon burns 46 calories each hour while sleeping. When she plays basketball, she burns 11 times as many calories as she does w

OLga [1]

Answer: 1012 calories

Step-by-step explanation:

Shannon burns 46 calories each hour while sleeping.

When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:

= 11 × 46

= 506 calories

She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:

= 2 × 506 calories

= 1012 calories

The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories

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3 years ago

Answer for bar graph of 182,000

Aneli [31]

Just split it in half and get 91,000 and put it on each side of the bar graph. 91,000 plus 91,000 equels 182,000

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3 years ago