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3 years ago

Lily says that 4x7,000 has the same product as 7x4,000.Is she correct? Explain using the associative property of multiplication

Mathematics

2 answers:

BabaBlast [244]3 years ago

8 0

Its the same numbers just different orders

stiks02 [169]3 years ago

4 0

Lily should be correct because 4x7 will give you the same product no matter which way you do it. The zeros don't matter either. You could have 1,000,000 zeros but you're 4x7 or 7x4 will stay the same.

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${x}^{2} - x - 12 = (x + 3)(x - 4)$

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Step-by-step explanation:

F [First terms] - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT

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2 years ago

(3cosx-4sinx) + (3sinx+4cosx) = 5

Ksenya-84 [330]

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49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)

sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º

The solutions when 0≤x≤360º are: 36.87º and 306.87º.

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