Please help thank you.

Mathematics

1 answer:

tia_tia [17]3 years ago

5 0

Question 1:

The answer is the second choice.

Parallelograms that are not rectangles do not have congruent diagonals; however, all rectangles do have congruent diagonals.

A rhombus has perpendicular diagonals but is not a rectangle, so the first choice is wrong

A rhombus has all congruent sides but is not a rectangle, so the third choice is wrong.

The last choice only applies to certain quadrilaterals, none of which are rectangles.

Question 2:

The first choice is the answer.

A rectangle has congruent diagonals, but is not a square. We can eliminate the second choice.

A rhombus has all congruent sides, but it is not a square.

The last choice only applies to certain quadrilaterals, none of which are squares.

Have an awesome day! :)

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identify the amplitude and period of the function then graph the function and describe the graph of G as a transformation of the

mrs_skeptik [129]

Given the function:

$g(x)=cos4x$

Let's find the amplitude and period of the function.

Apply the general cosine function:

$f(x)=Acos(bx+c)+d$

Where A is the amplitude.

Comparing both functions, we have:

A = 1

b = 4

Hence, we have:

Amplitude, A = 1

To find the period, we have:

$\frac{2\pi}{b}=\frac{2\pi}{4}=\frac{\pi}{2}$

Therefore, the period is = π/2

The graph of the function is shown below:

The parent function of the given function is:

$f(x)=cosx$

Let's describe the transformation..

Apply the transformation rules for function.

We have:

The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.

ANSWER:

Amplitude = 1

Period = π/2

Transformation = horizontal compression.