Pentagon abcde and pentagon a'b'c'd'e' are shown on the coordinate plane below: pentagon abcde and pentagon a prime b prime c prime d prime e prime on the coordinate plane with ordered pairs at a negative 5, negative 2, at b negative 7, negative 3, at c negative 6, negative 6, at d negative 3, negative 5, at e negative 3, negative 3, at a prime 3, 6, at b prime 5, 5, at c prime 4, 2, at d prime 1, 3, at e prime 1, 5 which two transformations are applied to pentagon abcde to create a'b'c'd'e'? translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the y-axis translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the x-axis translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis

The correct answer is:

Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis

Explanation:

A translation using the rule (x, y) →(x + 2, y + 8) adds 2 to the x-coordinate and 8 to the y-coordinate.  This takes our points and maps them the following way:

A(-5, -2)→(-3, 6)

B(-7, -3)→(-5, 5)

C(-6, -6)→(-4, 2)

D(-3, -5)→(-1, 3)

E(-3, -3)→(-1, 5)

The difference between each of these points and the image points is that the x-coordinates are negated.  To do this, we would reflect the points through the y-axis.

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step-by-step explanation:

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b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: