MATHEMATICS HIGH SCHOOL

Factorize 16x^2 + 16xy + 4y^2. A) (4x + 2y)^2 B) (4x - 2y)^2 C) 4(x + y)^2 D) 4(x - y)^2

Answers

Answer 1
Answer:

Answer:

A

Step-by-step explanation:

given

16x² + 16xy + 4y²

an expression factorised as a perfect square has the form

(ax + by)²

= a²x² + 2abxy + b²y²

16x² + 16xy + 4y² ← is in this form

with a² = 16 , b² = 4

so a = √(16) = 4 and b = √(4) = 2

then 2ab = 2(4)(2) = 16

Thus

16x² + 16xy + 4y² = (4x + 2y)² ← in factorised form

 

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If angle 1 and angle 7 are vertical angles and angle 1 and angle 2 are supplementary adjacent and the measure of angle 2 is 123 degrees. what is the measure of angle 7?

Answers

Answer:  m∡7 = 57° .
_________________________________

Explanation:
____________________
 m∡7 = m∡1 ;  SInce  these angles are vertical; and vertical angles are congruent.

m∡1 + m∡2 = 180 ; since these angles are supplementary; and by                                            definition; supplementary angles "add up" to 180.

Given: m∡2 = 123 ;  

m∡1 + 123 = 180 ;

Since m∡1 = m∡7 ; and we wish to find: "m∡7" ;  we can rewrite as:
_______________________________
m∡7 + 123 = 180 ; solve for "m∡7" ;
_______________________________
Subtract "123" from EACH SIDE of the equation:
_________________________________________
  m∡7 + 123 - 123 = 180 - 123 ;
_________________________________________
  m∡7 = 57° .
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Answers

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Answers

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Separate 185 into two parts so that one part is 31 more than the other part. Find each part.

Answers

9514 1404 393

Answer:

  108, 77

Step-by-step explanation:

Let x represent the larger part. Then ...

  x + (x -31) = 185

  2x = 216

  x = 108

  x -31 = 77

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looking for x and y

Answers

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I'll choose, -5x+y=-3
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Answers

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