MATHEMATICS HIGH SCHOOL

(2√5 + 3√7)^2 show your work and justify each step.

Thank you!

Answers

Answer 1
Answer: (2 √(5) + 3 √(7) )^2 \n \n (2 √(5) ) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) ^2 \n \n 2^2 √(5) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 √(5) ^2 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + (3 √(7) )^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 3^2 √(7) ^2 \n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 9 √(7) ^2\n \n 4 * 5 + 2 * 2 √(5) * 3 √(7) + 9 * 7 \n \n 20 + 2 * 2 √(5) * 3 √(7) + 9 * 7 \n \n 20 + 2 * 2 * 3 √(5 * 7) + 9 * 7 \n \n 20 + 2 * 2 * 3 √(35) + 9 * 7 \n \n 20 + 12 √(35) + 9 * 7 \n \n 20 + 12 √(35) + 63 \n \n 83 + 12 √(35) \n \n

The answer is: 83 + 12√35.
Answer 2
Answer: (2√(5) + 3√(7))²
(2√(5) + 3√(7))(2√(5) + 3√(7))
2√(5)(2√(5) + 3√(7)) + 3√(7)(2√(5) + 3√(7))
2√(5)(2√(5)) + 2√(5)(3√(7)) + 3√(7)(2√(5)) + 3√(7)(3√(7))
4√(25) + 6√(35) + 6√(35) + 9√(49)
4(5) + 12√(35) + 9(7)
20 + 12√(35) + 63
20 + 63 + 12√(35)
83 + 12√(35)

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The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is the best prediction of the population in the year 2014

Answers

In the year 2009 there were 3500 birds on an island. If the bird population is declining 2.2% per year it means that in the year 2014 we will have 3500*(1-0.022^(5))=3500*0.978 x^(5)= 3131.57 birds. 
The best prediction is that in the year 2014 the bird population will be 3132.

Answer:

The answer above me is correct including their math work!

1/3 :4= x/6
Please solve!

Answers

Answer:

1/2

Step-by-step explanation:

1/3÷4=x/6

First divide 1/3÷4 to get 1/12

then multiply both sides by 12 to get 2x=1

Hence, x=1/2

1. Determine the value of x for
which r | s.
(2x + 6)
42°

Answers

Answer:

The answer for x would be x=19

Step-by-step explanation:

19×2= 38

38+6= 42

Variable y varies directly with variable x, and y = 16 when x = 12. Enter the constant of variation in lowest terms.

y = blank/ blank x

Answers

y=kx
find k
y=16
x=12
16=k12
divide 12
16/12=k
4/3=k

y=4/3x

blanks is 4/3

Fast as possible, 100 point
Write an expression for the Product of (x+5)(x-3)

Answers

Answer:

I think this could be the answer- x^ +2x-15

Are two lines that lie in parallel planes always parallel?

Answers

Of course not.

-- Take a washable marker, and give your little sister another washable marker.

-- Stand back-to-back in your bedroom, you facing the front wall, and her facing the back wall.

-- When you say 'GO', both of you draw a straight line on the wall.
   Then look at the lines.

-- The front and back walls are parallel planes, but it would be
amazing if the two lines are parallel.  One could even be a
horizontal line and the other a vertical one . . . definitely not parallel. 
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