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3 years ago

2 (-X + 3) + x Ⓘ ⓡⓔⓐⓛⓛⓨ ⓓⓞⓝ'ⓣ ⓤⓝⓓⓔⓡⓢⓣⓐⓝⓓ

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

Answer:

-x +6

Step-by-step explanation:

We assume you want to simplify this.

Use the distributive property to eliminate the parentheses. That property tells you that the factor outside parentheses (2) will multiply both of the terms inside parentheses. It's as though you had a bag (parentheses) with two objects inside. Two such bags will have two of each of those objects.

2(-x +3) +x

= 2(-x) +2(3) +x

= -2x +6 +x

Now, the like terms -2x and +x can be combined.

= x(-2 +1) +6

= x(-1) +6

= -x +6 . . . . . the simplified expression

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Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
11*2= 22 11*3=33

22+5 = 27 33-6= 27

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2 years ago

Which of the following is not an undefined term? point, ray, line, plane

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Step-by-step explanation:

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

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What is 10 + 10 + 10 + 10 + 10

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50 easy

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Answer: 405 yd squared

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V = (bh)/2

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67.5 x 12 = 810

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1 year ago