A10-foot ladder leans against a wall. it hits the wall 9 feet up. how far is the base of the ladder from the wall? apply the pythagorean theorem to this problem

A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall? Apply the Pythagorean Theorem to this problem

triangle

side S1 = 9 feet

hypotenuse H = 10 feet

side S2 - X = ?

the Pythagorean Theorem

H x H = S1 x S1 + S2 x S2 = S1 x S1 + X x X

X x X = H x H - S1 x S1 = 10 x 10 - 9 x 9 = 100 - 91 = 9

X x X = 9

X = 3

How far is the base of the ladder from the wall? 3 feet

check:

H x H = S1 x S1 + X x X

10 x 10 = 9 x 9 + 3 x 3

100 = 91 +9 = 100

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

this is false ^.^ lol