Answer:
See below
Step-by-step explanation:
<em>On the graphs we see transformations of exponential functions</em>
<h3>Graphic 1 = Horizontal shift </h3>
- f(x) = 2ˣ is the parent function
- g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
- h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
- p(x) = (1/3)ˣ is the parent function
- r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
- q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units
Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
Answer:
x=-4/7
Step-by-step explanation:
We are given an equation as
6(x+7)+4=-8(x-5)-2
and asked to solve for x
Simplify to get
Distribute 6 over x+7 and on right side -8 over x-5
6x+42+4 = -8x+40-2
Take -8x to left side to become +8x and 46 to right side to become -46
Grouping like terms
14x = 38-46 = -8
Divide by 14
x = -8/14 = -4/7
Since this is an equation, we get a single value for x
and answer is -4/7
Answer:
96 u
Step-by-step explanation:
area of a triangle is base * height all divided by 2. 24*8/2
My answer -
If you light a match, the match catches fire. If something catches fire it is therefore combustible.
P.S
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