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3 years ago

Are 2(6.1x+25.3y+2.1x-3.9y) and 4(4.1x+ 10.7) equivalent

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

Multiply the number outside the parentheses by each term inside the parentheses

=2(6.1x+25.3y+2.1x-3.9y)
=(2*6.1x)+(2*25.3y)+(2*2.1x)+(2*-3.9y)
=12.2x + 50.6y + 4.2x - 7.8y
combine like terms
= 16.4x + 42.8y

=4(4.1x+ 10.7)
=(4*4.1x) + (4*10.7y)
=16.4x + 42.8y

ANSWER: Yes, the two expressions are equivalent.

Hope this helps! :)

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3 years ago

Let A = {1,2,3,..., 8, 9, 10} B = {4, 7, 10}

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The answers to the questions are

(i) B - A = Ф / null set

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A set contains different elements which are mathematical objects of any kind such as numbers, points, spaces, lines e.t.c.

Different types of set are -singleton setsfinite and infinite setsempty or null sets equal sets unequal sets equivalent sets overlapping sets disjoint sets subsets super sets power sets universal sets

According to question,

i ] B - A = 0/null set

ii ] A - B = [ 1,2,3,5,6,8,9 ]

iii ] (A-B) n (B-A) = 0/ null set

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Hence, the answers to the questions are

(i) B - A = Ф / null set

(ii) A - B = {1, 2, 3, 5, 6, 8, 9}

(iii) (A - B) ∩ (B - A) = Ф / null set

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To understand more about Set Theory refer - brainly.com/question/13458417#SPJ9

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1 year ago

ABC is a dilation image of DEF. What is the scale factor?

GrogVix [38]

The complete question in the attached figure

we know that
length side AB=8 units
length side DE=4 units

[ABC]=[DEF]*[scale factor]
then
[scale factor ]=[ABC]/[DEF]---------> 8/4--------> 2

the answer is
the scale factor for a dilation image of DEF to obtain ABC is 2

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3 years ago