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Sunny_sXe [5.5K]
3 years ago
9

List the first 10 triangular numbers

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0
Answer:

0, 1, 3, 6, 10, 15, 21, 28, 36, 45
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Can someone explain (with steps) how to rationalize the following expression?
insens350 [35]
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
6 0
3 years ago
Does the relation {(-2,2), (-7,1), (-3,9), (-8,4), (-9,5), (-6,8)) represent
Gelneren [198K]

Answer:

Yes

Step-by-step explanation:

This does represent a function because every x-value only goes to one y-value.

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If you use the scientific notation to simplify these bigger numbers it will make it easier
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Angle ABC is formed by segments AB and BC on the following coordinate grid: A coordinate grid is shown from positive 6 to negati
Nadusha1986 [10]

Answer:

B) m∠ A'B'C' = m∠ABC

Step-by-step explanation:

A rotation does not change angle measure or side length.  It preserves congruence.

This means that the image angle, A'B'C', will be congruent to the pre-image angle, ABC.

5 0
3 years ago
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What is 0 divided by 0
Masteriza [31]

Answer:

undefined. No one knows the answer. ¯\_(ツ)_/¯¯

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