Translation: what information does the periodic table give you? , using a copy of the periodic table

Translation: what information does the periodic table give you? , using a copy of the periodic table list all the information that can be extracted from it in relation to an element.

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[tex]Translation: what information does the periodic table give you? , using a copy of the periodic tabl[/tex]

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  1.   [tex]\overline{RQ}\cong\overline{KL}[/tex]

    Step-by-step explanation:

    ASA is short for Angle-Side-Angle. To use this congruence postulate, you need to have two angles and the side between them shown to be congruent. In the left triangle, the two angles are R and Q, so the side between them is RQ. In the right triangle, the corresponding angles are K and L, so the side between them is KL. That is, you must have ...

      RQ ≅ KL

    in order to use ASA to show the triangles congruent.

    ____

    It is all about matching patterns. We have explained this pattern-matching process several times now.

  2. 1) Factors of [tex]c^2+6c+9[/tex]are [tex](c+3)(c+3)[/tex]

    2) Factors of [tex]16x^2+48xy+36y^2[/tex] are  [tex](4x+6y)^2[/tex]

    3)  Factors of [tex]25a^2-70a + 49[/tex] are [tex](5a-7)^2[/tex]

    4) Factors of [tex]16ax + 4x^2 +16a^2[/tex] are [tex](2x+4a)^2[/tex]

    5) Factors of [tex]25a^2 +9b^2 + 30ab[/tex] are [tex](5a+3b)^2[/tex]

    6) Factors of [tex]2x^2 - 16x + 32[/tex] are[tex]2(x-4)^2[/tex]

    7) Factors of [tex]5c^2 +30c + 45[/tex] are [tex]5(c+3)^2[/tex]

    8) Factors of [tex]128x^2 +96xy + 18y^2[/tex] are  [tex]2(8x+3y)^2[/tex]

    9) Factors of [tex]450a^2 +242c^2 + 660ac[/tex] are  [tex]2(15a+11c)^2\\[/tex]

    10) Factors of [tex]a^8 - 12a^4 + 36[/tex] are  [tex](a^4-6)^2[/tex]

    11) Factors of[tex]9x^2 - y^2[/tex] are  [tex](3x-y)(2x+y)[/tex]

    12) Factors of [tex]16a^2 - 4b^2[/tex] are  [tex](4a+2b)(4a-2b)[/tex]

    13) Factors of  [tex]1-4y^2[/tex] are  [tex](1-2y)(1+2y)[/tex]

    14) Factors of [tex]a^2 - c^2[/tex] are  [tex](a-c)(a+c)[/tex]

    15) Factors of [tex]x^6-36[/tex] are  [tex](x^3-6)(x^3+6)\\[/tex]

    16) Factors of [tex]a^2b^2 - d^2[/tex] are  [tex](ab-d)(ab+d)[/tex]

    17) Factors of  [tex]9x^4y^2 - z^6[/tex] are  [tex](3x^2y-z^3)(3x^2y+z^3)[/tex]

    18) Factors of [tex]36x^2y^6 - 16[/tex] are  [tex](6xy^3-4)(6xy^3+4)[/tex]

    19) Factors of [tex]0.09y^2 - 0.81[/tex] are  [tex](0.03y-0.9)(0.03y+0.9)[/tex]

    20)Factors of [tex]1-100x^2[/tex] are  [tex](1-10x)(1+10x)[/tex]

    21) Factors of [tex]36a^2 - b^2[/tex] are  [tex](6a-b)(6a+b)[/tex]

    22) Factors of [tex]9x^2-16[/tex]are [tex](3x-8)(3x+8)[/tex]

    Step-by-step explanation:

    1) [tex]c^2+6c+9[/tex]

    [tex]c^2+6c+9\\=c^2+3c+3c+9\\=c(c+3)+3(c+3)\\=(c+3)(c+3)[/tex]

    2) [tex]16x^2+48xy+36y^2[/tex]

    [tex]=16x^2 +48xy + 36y^2\\=(4x)^2+2(4x)(6y)+(6y)^2\\=(4x+6y)^2[/tex]

    3) [tex]25a^2-70a + 49[/tex]

    [tex]25a^2 - 70a + 49\\=(5a)^2-2(5a)(7)+(7)^2\\=(5a-7)^2[/tex]

    4) [tex]16ax + 4x^2 +16a^2[/tex]

    [tex]4x^2+16ax+16a^2\\=(2x)^2+2(2x)(4a)+(4a)^2\\=(2x+4a)^2[/tex]

    5) [tex]25a^2 +9b^2 + 30ab[/tex]

    [tex]25a^2 +9b^2 + 30ab\\=25a^2+30ab+9b^2\\=(5a)^2+2(5a)(3b)+(3b)^2\\=(5a+3b)^2[/tex]

    6) [tex]2x^2 - 16x + 32[/tex]

    [tex]2x^2 - 16x + 32\\Taking\,\,2\,\,common:\\=2(x^2-8x+16)\\=2((x)^2-2(x)(4)+(4)^2)\\=2(x-4)^2[/tex]

    7) [tex]5c^2 +30c + 45[/tex]

    [tex]Taking\,\,5\,\,common:5(c^2+6c+9)\\=5((c)^2+2(c)(3)+(3)^2)\\=5(c+3)^2[/tex]

    8) [tex]128x^2 +96xy + 18y^2[/tex]

    [tex]128x^2 +96xy + 18y^2\\Taking\,\,2\,\,common:\\=2(64x^2+48xy+9y^2)\\=2((8x)^2+2(8x)(3y)+(3y)^2)\\=2(8x+3y)^2[/tex]

    9) [tex]450a^2 +242c^2 + 660ac[/tex]

    [tex]450a^2 +242c^2 + 660ac\\Taking\,\,2\,\,common:\\=2(225a^2+121c^2+330ac)\\=2((15a)^2+(11c)^2+2(15a)(11c))\\=2(15a+11c)^2\\[/tex]

    10)[tex]a^8 - 12a^4 + 36[/tex]

    [tex]a^8 - 12a^4 + 36\\=(a^4)^2-2(a^4)(6)+(6)^2\\=(a^4-6)^2[/tex]

    11) [tex]9x^2 - y^2[/tex]

    [tex]9x^2 - y^2\\=(3x)^2-(y)^2\\=(3x-y)(2x+y)[/tex]

    12) [tex]16a^2 - 4b^2[/tex]

    [tex]16a^2 - 4b^2\\=(4a)^2-(2b)^2\\=(4a+2b)(4a-2b)[/tex]

    13) [tex]1-4y^2[/tex]

    [tex]1-4y^2\\=(1)^2-(2y)^2\\=(1-2y)(1+2y)[/tex]

    14) [tex]a^2 - c^2[/tex]

    [tex]a^2 - c^2\\=(a)^2-(c)^2\\=(a-c)(a+c)[/tex]

    15) [tex]x^6-36[/tex]

    [tex]x^6-36\\=(x^3)^2-(6)^2\\=(x^3-6)(x^3+6)\\[/tex]

    16) [tex]a^2b^2 - d^2[/tex]

    [tex]a^2b^2 - d^2\\=(ab)^2-(d)^2\\=(ab-d)(ab+d)[/tex]

    17) [tex]9x^4y^2 - z^6[/tex]

    [tex]9x^4y^2 - z^6\\=(3x^2y)^2-(z^3)^2\\=(3x^2y-z^3)(3x^2y+z^3)[/tex]

    18) [tex]36x^2y^6 - 16[/tex]

    [tex]36x^2y^6 - 16\\=(6xy^3)^2-(4)^2\\=(6xy^3-4)(6xy^3+4)[/tex]

    19) [tex]0.09y^2 - 0.81[/tex]

    [tex]0.09y^2 - 0.81\\=(0.03y)^2-(0.9)^2\\=(0.03y-0.9)(0.03y+0.9)[/tex]

    20) [tex]1-100x^2[/tex]

    [tex]1-100x^2\\=(1)^2-(10x)^2\\=(1-10x)(1+10x)[/tex]

    21) [tex]36a^2 - b^2[/tex]

    [tex]36a^2 - b^2\\=(6a)^2-(b)^2\\=(6a-b)(6a+b)[/tex]

    22) [tex]9x^2-16[/tex]

    [tex]9x^2-16\\=(3x)^2-(8)^2\\=(3x-8)(3x+8)[/tex]

  3. Step-by-step explanation:

    This is an exercise in using the distributive property, which means we want to multiply what is inside the parenthesis (-4+c) by what is directly outside the parenthesis (-2).

    So, -2*-4 = +8 and -2*c = -2c

    Put the two together and we have 8-2c or written with the variable term first (by one convention) -2c+8

    Please note there are two different mathematical conventions: one is that expressions are written with the terms in order, variables in alphabetical order first, and one that says we try not to lead off with a negative term. Both expressions, 8-2c and -2c+8, are equivalent expressions, each having the same value when given the same value for c.

  4. I believe its D

    Because , He´s kind of rude to the boy but I think its because he´s not used to being with people most of the time  .

    Hoped I helped -

    Sleepy~~

       

  5. C.

    Explanation:

    "Mr. Howard was asleep on the other side of me, snoring on his pine-needle bed." "His mustache was moving like a March gras in the wind."

    It says nothing about A. Actions, B. Dialogue, or D. His thoughts.

    It only describes his appearance.

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