This requires us to find the number of permutations of 6 different bands taken 2 at a time:
Answer:
x = 6 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+ x^2 = 12^2
36 + x^2 = 144
Subtract 36 from each side
x^2 = 144-36
x^2 =108
Take the square root of each side
sqrt(x^2) = sqrt(108)
x = sqrt(36*3)
x = 6 sqrt(3)
Slope point form :
To put in slope point form, label any of the points as either X1,y1 and X and y, then plug in those values into the following equation form.
Y - y1 = m(X-X1)
But before, we must solve for the m value or slope.
M = y2-y1/x2-X1
M = 5/2 - -1/2 / -1/2 - 3/2.
M = 5/2 + 1/2 / -(1/2+3/2)
M = 6/2 / -(4/2)
M = 3/-2
Now we can place it in slope point and also in standard form of a line.
Y-y1 = m(X -X1)
Y - -1/2 = -3/2(X - 3/2)
Y + 1/2 = -3/2(X - 3/2)
This is in slope point form.
Y + 1/2 = -3/2x + 9/4
Y + 1/2 - 1/2 = -3/2x + 9/4 - 1/2
1/2 = 2/4
Y = -3/2x + 7/4
-3/2x = -6/4x
Y = -6/4x + 7/4
Y • 4 = 4( -6/4 X + 7/4)
4y = -6x + 7
4y + 6x = -6x + 6x +7
6x + 4y = 7
This is in standard form. If you have any questions of the steps just ask.
Statement #3: The product of two irrational numbers is not always irrational.
If you multiply √3 and 1/√3, both irrational numbers that are inverses of each other, you end up getting 1, which is rational.
Given:
Total length of tape in roll = 16.8 meters
Length of each piece = 1.125 meters
Number of pieces = 8
To find:
The remaining tape.
Solution:
We have,
Length of 1 piece = 1.125 meters
Length of 8 piece = 8 × 1.125 meters
= 9 meters
Total length of tape in roll = 16.8 meters
Remaining tape = Total length of tape in roll - Length of 8 piece
= 16.8 - 9 meters
= 7.8 meters
Therefore, the length of remaining tape is 7.8 meters.