Sample Response: The absolute value of a real number is the distance from 0 on the number line. The absolute value of a complex number is the distance from the origin in the complex plane. Both are distances, and therefore both are positive values. You need to use the distance formula or the Pythagorean theorem to calculate the absolute value of a complex number. Compare your response to the sample response. Which of these did your response include? Check all of the boxes that apply.

The real number is on the number line, but the complex number is in the complex plane.

Both are distances.

Both are positive values.

The distance formula or the Pythagorean theorem is used to calculate the absolute value of a complex number.

rounding to the nearest thousandth would be 452,000

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

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