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3 years ago

The function g(x) = 8(4x) is reflected across the x-axis to create f(x).

Mathematics

2 answers:

Andre45 [30]3 years ago

6 0

Answer:

$f(x) = -8(4)^x$

Step-by-step explanation:

We have been given the equation of g(x) is $g(x)=8(4)^x$

When we reflect a function f(x) about the x-axis then the equation of function becomes -f(x).

Now, f(x) is created by reflecting across the function g(x) about x axis. Hence, we have

f(x) = -g(x)

$f(x) = -8(4)^x$

Thus, we can fill -8 in the blank provided.

Andrej [43]3 years ago

4 0

to reflect across the x axis , we multiply the function by negative

So the function reflected across the x axis should be

$f(x) = -8 (4)^x$

f(x) = ____-8_____ (4)^x

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Step-by-step explanation:

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Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg

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Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

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Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,

Hypotenuse: 3y

Leg: y+4

Since the triangle A and B are congruent so, the sides of triangles are equal.

$x+4=3y$ (Hypotenuse are equal) ..........[1]

and $x=y+4$ (Legs are equal) ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

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Substitute y in [2],

$x=y+4$

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$x=8$

Therefore, The value of x=8 and y=4

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Hypotenuse: x+4=8+4=12

Leg: x=8

Triangle B,

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Leg: y+4=4+4=8

Both hypotenuses and both legs are equal hence they are congruent.

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