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Marizza181 [45]
3 years ago
14

How many Pythagorean triples can be created by multiplying the side lenghts in a known triple by a constant? Explain

Mathematics
1 answer:
Rudiy273 years ago
5 0
Answer: There are an infinite amount of Pythagorean Triples that could be created.

A Pythagorean Triple is a set of 3 integers that would form a right triangle. They must satisfy the equation a^2 + b^2 = c^2.

The most basic one is:  3, 4, 5

A triangle with sides of 3, 4, 5 would form a right triangle.

If we multiply each side by 2, we get 6, 8, 10. This would also be a right triangle. 

We could also multiply by 3, or 4, or 5, or 6 .......

We can multiply by any number and still have a right triangle.
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Find the gradient of the line passing through (6,8) and (4,10)
Mariulka [41]

Question:

Find the gradient of the line passing through (6,8) and (4,10).

Answer:

-1 is the right answer.

Step-by-step explanation:

Slope of the line = The gradient of the line

Gradient of the line is known as change in the value of y-axis by change in the value of x-axis

Gradient = ∆y\∆x

Gradient = \frac{y_ 2 - y_1}{x_2 - x_1}  =  \frac{(10 - 8)}{(4 - 6)}  =  \frac{(2)}{(- 2)} =\boxed{- 1}\\

7 0
3 years ago
Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R
Mrac [35]

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5           exactly

The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

6 0
3 years ago
Stan, a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. On Monday he is assigned a route that is
Maurinko [17]
3.50m+75 for the 30 miles, he is being paid 105 plus the daily amount of 75 which equals to 180$.
4 0
3 years ago
In which direction does the head of the molecules of the plasma membrane face?
kiruha [24]

Answer:

toward the outside

Step-by-step explanation:

The plasma membrane is composed of the phospholipid bilayer and cholesterol.The phospholipids have a head and two tails.The head is water loving, hence it is termed as polar/hydrophilic.The tails are nonpolar/ water fearing/hydrophobic.Both inside and outside the cell, water is vital thus the phospholipid line up in two layers where the head points outwards and the tails hidden in the middle.

6 0
3 years ago
Read 2 more answers
Blonde or brunette? Explain why<br><br>(Its for my human interactions course so pls dont report it)
Trava [24]

Answer:

imo i would go with brunette because  i don't really like blondes. most ones ive met are annoying.

Step-by-step explanation:

4 0
3 years ago
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