Simplify as far as possible.
7

5

3

5

Answers

Answer 1
Answer:

Answer:

4 sqrt(5)

Step-by-step explanation:

7 sqrt(5) - 3 sqrt(5)

These are like terms so we can subtract

4 sqrt(5)

Answer 2
Answer:

Final answer:

To simplify a radical expression 7√5 - 3√5, subtract the coefficients and keep the radicand the same. The simplified expression is 4√5.

Explanation:

To simplify the given expression, we need to combine the terms involving square roots. We can notice that the terms have the same radicand, which is 5. So, we can combine them by subtracting the coefficients. The simplified expression is:



7√5 - 3√5 = (7 - 3)√5 = 4√5

Learn more about Simplifying a Radical Expression here:

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What is a logarithmic function?

Answers


THE LOGURITHMIC FUNCTION IS THE UNVERSE OF EXPONETIAL FUNCTION IN MATH

2(8n2 + 9n) +
+ 9n) + 3(4n- 7n)

Answers

Answer:

n = 0 or n = -9/16

Step-by-step explanation:

Solve for n:

2 (8 n^2 + 9 n) - 9 n = 0

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

16 n^2 + 9 n = 0

Hint: | Factor the left hand side.

Factor n from the left hand side:

n (16 n + 9) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

n = 0 or 16 n + 9 = 0

Hint: | Look at the second equation: Isolate terms with n to the left hand side.

Subtract 9 from both sides:

n = 0 or 16 n = -9

Hint: | Solve for n.

Divide both sides by 16:

Answer: n = 0 or n = -9/16

Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

Answers

The sum of the interior angles of the polygon = (n - 2) x 180 .

(n - 2) x 180 = (n x 150)

180n - 360 = 150n

Add 360 to each side:

180n = 150n + 360

Subtract 150n from each side:

30n = 360

Divide each side by 30 :

n = 12

A = 12, b = ?, c = 15a = ?, b = 7, c = 25
a = 8, b = 15, c = ?
a = 24, b = ?, c = 26

Answers

1: b=9
2: a= 24
3: c=17
4: b=10

Use a^2 + b^2 = c^2 to answer.
1: 12^2 (144) + b = 15^2 (225)
225-144 = 81
Square root 81 = 9
2: a + 49 = 625
625-49=576
Square root 576 = 24
3: 64 + 225 = 289
Square root 289 = 17
4: 576 + b = 676
676-576 = 100
Square root 100 = 10

What is 1,000,000 written as a power of ten?

Answers

1,000,000 is written as 10^6. Other wise it would be too low or too high.

Emil's backpack weighs six and three eights pounds. He removes a book that weighs three fourth pound. Then he removes a book that weighs one half pound .How much does Emil's back pack weigh now

Answers

Answer:

Emil's back pack weigh now 5(1)/(8)\ pounds.

Step-by-step explanation:

Given:

Total Weight of backpack = 6(3)/(8)\ pounds

6(3)/(8)\ pounds can be Rewritten as (51)/(8)\ pounds

Weight of backpack =  (51)/(8)\ pounds

Weight of Book 1 = (3)/(4)\ pound

Weight of Book 2 = (1)/(2)\ pound

We need to find weight of back pack after removing books.

Solution:

Now we can say that;

weight of back pack after removing books can be calculated by Subtracting Weight of Book 1 and Weight of Book 2 from Total Weight of backpack.

framing in equation form we get;

weight of back pack after removing books = (51)/(8)-(3)/(4)-(1)/(2)

Now to solve the equation we will first make the denominator common using LCM.

weight of back pack after removing books =(51*1)/(8*1)-(3*2)/(4*2)-(1*4)/(2*4)=(51)/(8)-(6)/(8)-(4)/(8)

Now the denominators are common so we will solve the numerator.

weight of back pack after removing books = (51-6-4)/(8)=(41)/(8)\ pounds \ \ OR \ \ 5(1)/(8)\ pounds

Hence Emil's back pack weigh now 5(1)/(8)\ pounds.