the perimeter of a right angled triangle is 12cm and the hypotunos is 5 cm find the value of other two sides
2 answers:
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Answer:
y = - 2x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line
m = =
=
= - 2
the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
Given:
Selling price of radio for Masada = 63,000
Loss = 10%
To find:
The amount of money Masada paid for the radio?
Solution:
Let x be the amount of money Masada paid for the radio.
According to the question,
Divide both sides by 0.9.
Therefore, Masada paid 70,000 for the radio.
Answer: 1, 235, 520 different arrangements
Explanation: Since we want to arrange them, we care about the order in which they come in.
Let's firstly think about it in a diagrammatic way before diving into the permutations side of things.
We have 13 swimmers, let's name them from 1 to 13. Now, we want to arrange six of them in a line (hypothetically).
Thus, we can arrange the first six people:
1 2 3 4 5 6
1 2 3 4 6 5
1 2 3 6 5 4
1 2 3 6 4 5
...
In fact, we have 6! ways in arranging six objects into six places, which is 720 different ways.
Now, let's think about it in a bigger spectrum. If we have 13 people and we want to arrange them in 13 blocks, we would have 13! ways in arranging them:
Different permutations:
Ways in arranging 13 people into 13 different lanes is given by:
Now, we want to restrict that into 6 blocks, so we can only have 6 people in it
So, we would have (13 - 6)! ways in arranging them into 6 blocks.
So, our final number of arrangements is:
ways.
This is also the formula for the Permutation function represented by:
, where n is the number of objects (13) and r is the number of positions (6).
Explanation: Since we want to arrange them, we care about the order in which they come in.
Let's firstly think about it in a diagrammatic way before diving into the permutations side of things.
We have 13 swimmers, let's name them from 1 to 13. Now, we want to arrange six of them in a line (hypothetically).
Thus, we can arrange the first six people:
1 2 3 4 5 6
1 2 3 4 6 5
1 2 3 6 5 4
1 2 3 6 4 5
...
In fact, we have 6! ways in arranging six objects into six places, which is 720 different ways.
Now, let's think about it in a bigger spectrum. If we have 13 people and we want to arrange them in 13 blocks, we would have 13! ways in arranging them:
Different permutations:
Ways in arranging 13 people into 13 different lanes is given by:
Now, we want to restrict that into 6 blocks, so we can only have 6 people in it
So, we would have (13 - 6)! ways in arranging them into 6 blocks.
So, our final number of arrangements is:
This is also the formula for the Permutation function represented by: