Given: AČICD and AABC - ACED Prove: slope of AĆ x siope of DC = -1
Statements
Reasons
Given
1. ACICD
AABC is similar to ACED
2.
Property of similar triangles
3. slope of AC =
- AB
Definition of slope
CD
slope of
4. slope of ĀČ x slope of CD AB x D Multiplying the slopes
5. slope of AČ x slope of CD =
E x Ee Substitution property of equality
6. slope of AC x slope of CD = -1
Simplifying the right side
The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 22

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step-by-step explanation:

37 = ending with 7

unit's digit in the cube..3

56 = ending with 6

unit's digit in the cube..2

133 = ending with

unit's digit in the cube..7

hope it : ( : )

asnwer is (g o h o f)(x) = 2x - 6/x + 7

step-by-step explanation:

given,

f(x) = x - 3/x

g(x) = x + 3

h(x) = 2x + 1

we need to find : (g o h o f)(x)

we can write (g o h o f)(x) = g[ h{ f(x) } ]

so first we find h{f(x)}

h{f(x)} = f(x) + 3 = (x - 3/x) + 3

h{f(x)} = x - 3/x + 3

now we find g[ h{ f(x) } ].

g[ h{ f(x) } ] = g(x - 3/x + 3)       {plug h{f(x)} = x - 3/x + 3 in g[h{f(x)}] }

g(x - 3/x + 3) = 2 (x - 3/x + 3) + 1

                    = 2x - 6/x + 6 + 1

                    = 2x - 6/x + 7

hence we get (g o h o f)(x) = 2x - 6/x + 7