Log (base 8) 2 +log (base 8) 4x^2 =1

Answers

Answer 1

Answer: Log (base8) 2 = 1/3

Log (base 8) (4x^2) + Log (base 8) 4 + 2Log (base 8) x = 2/3 + 2 Log (base 8) x

1/3 + 2/3 + 2 Log (base 8) x = 1

2 Log (base 8) x = 0

Log (base 8) x = 0

x = 8^0

x = 1.

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What's the missing side length on the triangle if side a=√33 and side b=4

Can you tell me what 6+3.9 is

Answers

Answer:

9.9

Step-by-step explanation:

6 + 3.9 = 9.9

you add the two whole numbers together and get 9

then you need to add whatever is behind the decimal point which is 9

add them together and you get 9.9

Help!!! Geometric series.

Answers

Not just any geometric series, but an infinite one. The rare taming of infinity.

Since the ratio r=2/5 is strictly between -1 and 1 the infinite geometric series converges. The first term is also a=2/5 so the sum is

$S = (a)/(1-r) = (2/5)/(1 - 2/5) = \frac 2 3$

Answer: 2/3

That formula isn't too hard to derive. We have

$S = a + ar + ar^2 + ar^3 + ...$

$rS = ar + ar^2 + ar^3 + ...$

$S-rS = a$

$S = (a)/(1-r)$

(2a^2 +a + 3) (a - 1)

Answers

Answer: 2a^3-a^2+2a-3

Step-by-step explanation:

(2a^2+a+3) (a-1)

2a^3-2a^2+a^2-a+3a-3

2a^3-a^2+2a-3

Note: If you need extra help with this topic, I suggest you should search up "how to multiply a trinomial by a binomial" on Google. It will help you a lot!

The movie started at 6:32 p.m. and ended at 9:48 p.m. How long did the movie last?

Answers

first, add hours until the difference is less than an hour. You can add 3 hours on to make it 9:32 p.m. Then, add minutes on until it's the exact time. from 9:32 to 9:48, you can add 16 minutes, so the total time in the movie was 3 hours, 16 minutes.

Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse. Be sure to create and name the appropriate geometric figures.

Answers

For the answer to the question above asking to prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle,
A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²) is the longest side and is opposite the right angle.

⇒ α² + β² = c²

"In any right triangle ( 90° angle) , the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."

For example: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.
c2 = a2+ b2
c2 = 32+ 42
c2 = 9+16
c2 = 15
c = sqrt25
c=5

S=2pirh for h i need help please

Answers

Answer:

x+33

Step-by-step explanation:

add x to 33 and you will get the answer

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7Solve the equation x^2 - 8x + 15 = 0.

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