Answer:
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Step-by-step explanation:
Answer:
The solution to the system of equations is:
The graph is attached below.
Step-by-step explanation:
Given the system of equations


Let us solve the system of equations using the elimination method

Arrange equation variables for elimination

Multiply y + 2x = 5 by 2: 2y + 4x = 10

subtracting the equations




solve 6x = 18 for x

Divide both sides by 6

simplify

For 2y - 2x = -8 plug in x = 3


Add 6 to both sides

Simplify

Divide both sides by 2

Simplify

Therefore, the solution to the system of equations is:
The graph is attached below.
Answer:

Step-by-step explanation:
Given
--- Amplitude
--- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:

Substitute values for A and C

By comparison, only option (D) has the above format where

Hence (D) is correct
Answer:
Given:
.
Assuming that
,
while
.
Step-by-step explanation:
By the Pythagorean identity
.
Assuming that
,
.
Rearrange the Pythagorean identity to find an expression for
.
.
Given that
:
.
Hence,
would be:
.