Answer:
9.6 cm
Step-by-step explanation:
You would multiply by
![\frac{9+\sqrt{14}}{9+\sqrt{14}}](https://tex.z-dn.net/?f=%5Cfrac%7B9%2B%5Csqrt%7B14%7D%7D%7B9%2B%5Csqrt%7B14%7D%7D)
.
When you rationalize the denominator, you multiply by the conjugate of the denominator. The conjugate is the same numbers and radicals, but with the sign of the radical switched.
Given: ladder = 17 m and base = 8 m
The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.
Let’s say you did not know that this was a standard 8–15–17 right triangle.
This is how you can figure it out:
hypotenuse(h)2
2
= side21
1
2
+ side22
2
2
Let side1
1
= base and side2
2
= wall
172
2
= 82
2
+ wall2
2
wall = 172−82‾‾‾‾‾‾‾‾√
17
2
−
8
2
wall = 289−64‾‾‾‾‾‾‾‾‾√
289
−
64
wall = 225‾‾‾‾√
225
wall = 15 feet
>>>>>>>>>>15 feet
Answer:
48
Step-by-step explanation:
Reverse solve for a perfect Square
(b/2a)^2=36
(b/2(4))^2=36
(b/8)^2=36
b/8=6
b=48
48 makes the trinomial a perfect square trinomial.