To find the hypotenuse of a right triangle, you must use a^2 + b^2 = c^2
* keep in mind the hypotenuse MUST be larger than the legs.
The Pythagorean Theorem comes from making 2 squares from the lengths of each leg (that is why it is a^2 and b^2). The hypotenuse must be equal to the area of the two squares created.
<u>Let's take this problem step-by-step</u>:
<u>Let's first set up some variables</u>:
- c: # of children
- a: # of adults
<u>Let's examine the information given:</u>
- Elevator can hold a maximum of 1500 pounds
⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒<em> therefore</em>: 
- Elevator can fit no more than 14 people
⇒ <em>therefore</em>: 
<u>Let's graph the equations</u>:

⇒ look at the image attached
<u>The point at which the two graphs intersect:</u>
⇒ <em>is the solution that represents the amount of children and adults and </em>
<em> their combine weight</em>
<em />
<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>
<em> ⇒ the </em><em>solution is 8 children and 6 adults</em>
<em></em>
<u>Answer: 8 children and 6 adults</u>
<u></u>
Hope that helped!
<em />
Charmaine= x
William=x+3
3 times Charmaine = 3x
2times William = 2x+6
5x+6=76
5x=76-6
5x=70
X=14
Charmaine is 14
William is 3 years older so is 17
Check:
17x2= 34
14x3=42
34+42=76
So Charmaine is 14
William is 17
Answer:
A. -3
Step-by-step explanation:
(4) - (-2) = 6
(-1) - (1) = -2
6/-2
/2
-3