Answer:
See attachments
Step-by-step explanation:
Hope this helps.
By Pythagoras' Theorem:
Sum of the squares of the two side = Square of longest side
a² + b² = c²
a)
So let's check 7, 24, 25
Is 7² + 24² = 25² ?
7*7 + 24*24
49 + 576
=625.
Let us perform the other side 25²
25² = 25 * 25 = 625
Therefore the left hand side = Right hand side.
Therefore 7, 24, 25 is a Pythagorean Triple
b)
Let's check 9, 40, 41
Is 9² + 40² = 41² ?
9² + 40²
9*9+ 40*40
81 + 1600
=1681
Let us perform the other side 41²
41² = 41 * 41 = 1681
Therefore the left hand side = Right hand side.
Therefore 9, 40, 41 is a Pythagorean Triple.
To answer this question, try to solve the system of equations. Start by plugging in "
" in for y in the second equation:

<em>*Combine like terms*</em>

<em>*Factor*</em>

<em>*Set each term equal to 0*</em>
x-1=0
<em>*Add 1 to both sides*</em>
x=1
C) There is exactly 1 solution.
Hope this helps!!
$7.50
Step-by-step explanation:
$2.50 x 3 = $7.50
We multiplied it by 3, because 20 x 3 is 60, and Mr. Dennis bought 60 ounces.