The standard form of a line is in the form
A, B and C are integers, and A is positive. Let's start with multiplying the whole equation by 3 to get rid of denominators:
Subtract 3y from both sides:
Which of course is equivalent to
Which is the standard form, given the coefficients A=1, B=-3, C=6.
Answer:
i got A
Step-by-step explanation:
The value of the composite function f(g(x)) is 2x^2 + 15
<h3>How to evaluate the composite function f(g(x))?</h3>
The functions are given as:
f(x) = 2x + 1
g(x) = x^2 + 7
We have the function f(x) to be
f(x) = 2x + 1
Substitute g(x) for x in the equation f(x) = 2x + 1
So, we have
f(g(x)) = 2g(x) + 1
Substitute g(x) = x^2 + 7 in the equation f(g(x)) = 2x + 1
f(g(x)) = 2(x^2 + 7) + 1
Open the brackets
f(g(x)) = 2x^2 + 14 + 1
Evaluate the sum
f(g(x)) = 2x^2 + 15
Hence, the value of the composite function f(g(x)) is 2x^2 + 15
Read more about composite function at
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<u>Complete question</u>
if f(x) = 2x + 1 and g(x) = x^2 + 7
which of the following is equal to f(g(x))
The height of the tree is 60 meters.
Explanation:
Let the height of the tree be x. The tree casts a shadow of 
meters and the distance from the top of the tree to the end of the shadow is 
meters.
The sides of the triangle are attached in the image below:
Using pythagoras theorem,
Expanding, we get,
Solving the equation using the quadratic formula 
, we get,
Simplifying, we have,
Thus,
and 
where the value 
is not possible because substituting the value in results in negative solution. Which is not possible.
Hence, the value of x is 60.
Thus, The height of the tree is 60 meters.
Answer: 25
Step-by-step explanation:
(4)(4)+(3)(3)
