Joseph has 213 coins in a jar. All
1 answer:
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Answer:
Step-by-step explanation:
We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.
This can be represented as a triangle, where x is the unknown side.
|\
| \
x | \ 9
| \
| \
|_____\
4.5
We can use The Pythagorean Theorem to find the value of x. The theorem states that , where a and b are the lengths of the legs and c is the length of the hypotenuse.
However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.
Hope this helped!
The formula we need is this one: 
. Filling in accordingly, we have x+4(x+4+1)=x+1(x+1+11). Simplifying that we get (x+4)(x+5)=(x+1)(x+12). We will FOIL both sides to get 
. Combining like terms gives us this simplification: 0=4x-8. If we factor out the common 4, we have 0 = 4(x-2). By the Zero Product Property, eitheer 4=0 or x-2=0. Well obviously, 4 does not equal zero, so x-2 = 0, and x = 2.