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alisha [4.7K]
3 years ago
10

Please provide all steps given to find the answer. Thanks!!! Simplify: 5(2x+9)²

Mathematics
2 answers:
guajiro [1.7K]3 years ago
7 0

Answer:

20x^2 + 180x +405

Step-by-step explanation:

5(2x+9)²

5 ( 2x+9) (2x+9)

FOIL

first

2x*2x = 4x^2

outer: 2x*9 = 18x

inner 2x*9 = 18x

last : 9*9 = 81

Add these together :  4x^2 + 18x+18x +81  = 4x^2+36x+81

5( 4x^2+36x+81 )

20x^2 + 180x +405

gulaghasi [49]3 years ago
4 0

Answer:

20x²+180x + 405

Step-by-step explanation:

Follow PEMDAS to know what you do first

square (2x + 9) by foiling

(2x+9) (2x + 9)

= 4x²+ 36x + 81

Multiply by 5

20x²+180x + 405

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Answer:

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7 0
3 years ago
Hello, I need help with this. Giving brainiliest <br><br>9^(a) = (sqrt(3))^(a +2)​
Assoli18 [71]

Answer:

2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

9a=(√3)a+2

9a=1.732051a+2

Solve Exponent.

9a=1.732051a+2

log(9a)=log(1.732051a+2)(Take log of both sides)

a*(log(9))=(a+2)*(log(1.732051))

a=(log(1.732051)/log(9))*(a+2)

a=0.25*(a+2)

a=0.25a+0.5(Simplify both sides of the equation)

a−0.25a=0.25a+0.5−0.25a(Subtract 0.25a from both sides)

0.75a=0.5

0.75a/0.75=0.5/0.75

(Divide both sides by 0.75)

a=0.666667

a=2/3

0.666667=2/3

Hope this helps :)

6 0
2 years ago
Read 2 more answers
(9x2 + 10x + 4) - (9x2 + 5x - 1)
hjlf
Simplify both brackets, this equals 22 + 10x - 17 + 5x
Simplify further and you get 15x + 5
7 0
3 years ago
Read 2 more answers
Given sin y = -4/5, where π &lt; y &lt; 3π/2, and cos x = 12/13, where 0 &lt; x &lt; π/2. Find the exact value of sin (x - y).
konstantin123 [22]

Answer:

Solution given:

sin y = -4/5

p/h=4/5

p=4

h=5

b=√{5²-4²)=3

cos y = b/h=-3/5

again

cos x=12/13

b/h=12/13

b=12

h=13

p=√(13²-12²)=5

sin x=p/h=5/13

now

sin[x-y]=sinxcosy-cosxsiny

=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.

3 0
3 years ago
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