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3 years ago

How is the Pythagorean theorem related to the distance formula?

Mathematics

2 answers:

Eddi Din [679]3 years ago

6 0

Answer:

The distance formula is a formalization of the Pythagorean Theorem using (x,y) . They are the same thing (but the distance formula is for working out the distance between two points and Pythagoras theorem is for working out the missing length in a right-angled triangle) in two different contexts.

Step-by-step explanation:

Mariana [72]3 years ago

3 0

Answer:

Step-by-step explanation:

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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

23 ones x 2 tens= answer

shutvik [7]

23 and 2 tens is 23 and 20 which equals 53

53

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3 years ago

According to the school survey, 12% of the students at rock wood junior high school speak Spanish. There are 36 students at the

exis [7]

Answer:

They surveyed 300 students

Step-by-step explanation:

In order to find this, take the number who said they speak Spanish and then divide that number by the percentage.

36 students / 12% = 300 total students.

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3 years ago

Explain the process for finding the product of two integers

velikii [3]

When you multiply two integers, or in fact any two numbers, you are finding the product of those two numbers;
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4 years ago

Which graph represents the equation y = 3/4x - 3

Gnesinka [82]

The bottom left graph since it is the only one tp go through -3 and go up 3/4

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4 years ago