Write in 0 and 0 at the top: this indicates that if there are zero pennies, the height of the tower is 0. This is the point (0,0). Another point is (4, 28): a tower of 28 pennies is 4 cm tall.
Find the slope of the line connecting (0,0) and (4,28).
4cm - 0 cm
m = ----------------- = (1/7) (cm/penny)
28 - 0
The equation we need, relating # of pennies to height of tower, is
t = (1/7) (cm/penny)x, where x is the # of pennies.
Thus, if x = 1, then t=1/7 cm
And, if x =15, then t = 15/7 cm
And so on.
Answer:
9, 40 and 41
Step-by-step explanation:
All right triangle have lengths that follow the Pythagorean Theorem (a²+b² = c²). Right triangles have one angle equal to 90°. The two shorter sides form the right angle and the side opposite the right angle is called the hypotenuse.
Using the lengths given, we can use guess and check to see what sum of two sides squared would equal a third side, or just plug them into the equation: a²+b² = c² and see what lengths fit this equation.
I recommend starting with squares you are familiar with:
9² + 40²= 81 + 1600 = 1681
Now, take the √1681 to find the length of 'c', or the hypotenuse:
√1681 = 41
Since these three lengths fit the Pythagorean Theoreom, the would form a right triangle.
The first one is -4 and the second one is 6.
