Ok so pythagorean theorem is
a^2+b^2=c^2
plug it in
8^2+15^2=17^2
64+225=289
289=289
yass it works so that means they do make a right triangle
yes, they make a right triangle because they're a pythagorean triple and pythagorean theorem works when you plug the numbers in.
Examples :
(-2)^3 = (-2)(-2)(-2) = - 8
(-3)^4 = (-3)(-3)(-3)(-3) = 81
(-1)^5 = (-1)(-1)(-1)(-1)(-1) = -1
** if the exponent is an even number, the answer will be positive. if the exponent is an odd number, then the answer will be negative
** but keep in mind....if the negative is not included with the base..
-(5^2) = - 25....but (-5^2) = 25
The volume of a cylinder is Pi times the radius^2 times the height
Volume = Pi x 6^2 x 2
Volume = 226.2
When they have no solutions, the lines are parlaell, or they have the same slope but different y intercept
example
3x+2y=2 and
3x+2y=4 are paralell
also
y=3x+2 and
y=3x+4 are also parlell, no solutions
infinite solutions are when they are the same line
they have the same slope and y intercept
to find out, simplify
3x+2y=4 and
6x+4y=8 are smae lien
also
y=3x+2 and
2y=6x+4 aer the same line
1 solution is when it is none of the above things
a normal thing, where the slopes are differnet
example
y=2x+2
y=3x+2
The distributive property: a(b + c) = ab + ac
12(6k + 3) + 4(7 - 5k) = 12(6k) + 12(3) + 4(7) + 4(-5k)
= 72k + 36 + 28 - 20k = 52k + 64
