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Aleksandr-060686 [28]
3 years ago
15

(1). Simplify.

Mathematics
2 answers:
Brut [27]3 years ago
7 0

22 \div (9 + 2) = 2
22/11
=2
Akimi4 [234]3 years ago
7 0

Answer:

1) 22\div (9+2)=2

2) 8+3\cdot 42=134

3) Option A - (12+6)\div(3+3)

4) Option D -  (75-5)\times 1+4

Step-by-step explanation:

1) Simplify 22\div (9+2)

Solution :

Add the terms in bracket,

22\div (9+2)=22\div 11

Divide,

22\div (9+2)=2

2) Evaluate 8+3\cdot 42

Solution :

Solve the dot product,

8+3\cdot 42=8+126

Add the terms,

8+3\cdot 42=134

3) Which expression has a value of 3?

Solution : Solve each expression,

A. (12+6)\div(3+3)

(12+6)\div(3+3)=18\div 6=3

B.  (12+6)\div3+3

(12+6)\div3+3=18\div 3+3=6+3=9

C. 12+6\div(3+3)

12+6\div(3+3)=12+6\div 6=12+1=13

D. 12+(6\div3+3)

12+(6\div3+3)=12+(2+3)=12+5=17

Option A is correct.

4) Which expression has a value of 74?

Solution : Solve each expression,

A. (75-5)\times(1+4)

(75-5)\times(1+4)=70\times 5=350

B. 75-5\times(1+4)

75-5\times(1+4)=75-5\times 5=75-25=50

C. 75-(5\times1+4)

75-(5\times1+4)=75-(5+4)=75-9=66

D. (75-5)\times 1+4

(75-5)\times 1+4=70\times 1+4=70+4=74

Option D is correct.

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For this question we need to know the following identities:

1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1

Lets solve the bottom most part first:

1-\frac{1}{1-sec^2x} \\\\

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now break the LCM

\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1

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Answer:

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Step-by-step explanation:

Distance Between Two Points

Given two points (x1,y2) (x2,y2), the distance between them is given by the formula

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We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as

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