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serious [3.7K]
3 years ago
9

Which figures can be precisely defined by using only undefined terms? Check all that apply. angle arc circle line segment parall

el lines
Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0
Angle, parallel lines figures which can be precisely defined by using only undefined terms angles and parallel lines.
NARA [144]3 years ago
3 0

Answer:

circle, line segment, and parallel lines

Step-by-step explanation:

A circle is the set of all points a given distance from a fixed point called a center.  This only uses the undefined term "point."

A line segment is a portion of a line with two distinct endpoints.  This uses the undefined terms "line" and "point."

Parallel lines are lines that never intersect.  This uses the undefined term "line."

An angle is two rays joined at a common point called the vertex.  While this does use the undefined term "point," it also uses the defined term "ray."  This is not one of our options.

An arc is a portion of the circumference of a circle.  This uses the term "circle," so it is not one of our options.

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Identify all the sets to which the number 3.1214122144 belongs
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The set of numbers that 3.1214122144 belongs to is called the Irrational numbers. We know this because this number it is not an integer, since it has a fractional part and also is not a whole number. Rational numbers can be decimals but they are terminating decimals. This number is irrational because <span>is a non ending decimal number.</span>
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4 years ago
Help!! algebra two!! <br> c-h :)
kotegsom [21]

Answer:

c. (2x + 3y)² = (2x)² + 2(2x)(3y) + (<u>3y</u>)²

d. (w - 1)(1 + w + w²) = <u> </u><u>w³</u> - 1

e. a² - 16 = (a + <u>4</u>)(a - <u>4</u>)

f. (2x + 5y)(2x - 5y) = <u>4x²</u> - <u>25y²</u>

g. (2²¹ - 1)(2²¹ + 1) = <u>2⁴²</u> - 1

h. [(x - y) - 3][(x - y) + 3] = (<u>x - y</u>)² - 9

Step-by-step explanation:

c. Although this expression, when squared, is really <em>4x</em><em>²</em><em> </em><em>+</em><em> </em><em>12xy</em><em> </em><em>+</em><em> </em><em>9y</em><em>²,</em><em> </em>they just splitted it up into several more terms. In this last blank should be a 9y², but instead, they took the square root of the term, which is <em>3y,</em><em> </em>and set the square outside of the parentheses.

*I bet that was what made it confusing, but have no fear. The mathematics tutor is here.

d. This is similar to the Quadratic Equation [<em>y</em><em> </em><em>=</em><em> </em><em>Ax</em><em>²</em><em> </em><em>+</em><em> </em><em>Bx</em><em> </em><em>+</em><em> </em><em>C</em>] where you can, what I like to call... FOIL it, however, you have an extended amount of terms. Although you still have to FOIL it, it is just a unique procedure. This time, you have to one-by-one, take each term in the first set of parentheses [-1 and w] and multiply them by the second all three terms in the second set of parentheses.

e. This is a piece of cake because we know BOTH square roots of 16 and we are multiplying what are called conjugates.

f. Again, we are multiplying conjugates, so we just multiply the first and last two terms in each set of parentheses.

g. Again, we are multiplying conjugates EXCEPT now, we have exponents in each set of parentheses. Whenever you multiply terms, you add the exponents and your base remains the same, which is what you see in the above answer.

h. For the final exercise, we are multiplying conjugates again, and we obviously can see what fills that blank because there are TWO IDENTICAL EXPRESSIONS that are being multiplied, which in this case are being "squared", and that expression is <em>x</em><em> </em><em>-</em><em> </em><em>y</em><em>.</em><em> </em>It appears twice, so that is a giveaway.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**Conjugates are IDENTICAL expressions with OPPOSITE operation symbols. Whenever you multiply conjugates, just add the first and last two terms in both sets of parentheses because when you FOIL, the midst term will ALWAYS result in zero.

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Step-by-step explanation:

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