Answer:
DE=11 UNITS
Step-by-step explanation:
Given AC=CD
And AC=2AB as B is the mid point of AC
Hence 2(3x+4)=11x-17
6x+8=11x-17
11x-6x=17+8
5x=25
x=5
Hence AC=11(5)-17= 55-17=38
AC =CD = 38
CE = 49
Hence DE = CE-CD= 49-38 = 11
units
The function is (c) (f.g)(x) = 24x^2 - 36x - 24; domain of all set of real numbers
<h3>How to determine the composite functions?</h3>
The given parameters are:
f(x) = 3x - 6; g(x) = 8x +4
The composite function is calculated as:
(f.g)(x) = f(x) * g(x)
This gives
(f.g)(x) = (3x - 6) * (8x + 4)
Expand
(f.g)(x) = 24x^2 + 12x - 48x - 24
Evaluate the difference
(f.g)(x) = 24x^2 - 36x - 24
The above function is a quadratic function;
Quadratic functions have a domain of all set of real numbers
Hence, the function is (c) (f.g)(x) = 24x^2 - 36x - 24; domain of all set of real numbers
Read more about composite functions at:
brainly.com/question/10687170
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If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;
Where x is the length of the string in feet.
<span>Vertical angles are equal</span>
6x - 10 = 5x + 15
6x - 5x = 15 + 10
x = 25