Log33 + log327 simplify if possible

Answers

Answer 1
Answer: log360 is your answer.
Good luck on what ever your on!!!!!!!!

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If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L'?

Answers

The coordinate of point L' after translation is L'(6, -8)

Translation of coordinates

Given the coordinates of JKLM as J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)

Using the translation rule

(x, y) → (x + 8, y − 3)

The coordinate of point L' after translaton will be;

L' = (-2+8, -5-3)
L' = (6, -8)

Hence the coordinate of point L' after translation is L'(6, -8)

Learn more on translation here: brainly.com/question/12861087

Another answer: According to the figure, the coordinates of JKLM are, J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5) JKLM is translated to J'K'L'M' by means of the rule (x+8, y-3), we should know that (x, y) are coordinates of the pre image, to find the coordinates of each image we have (x', y') such that x' =x+8, and y' =y-3. Therefore, the coordinates of L' can be found by L'(-2+8, -5-3)=(6, -8) the final answer is L'(6, -8).

A hiker walked 12.8 miles from 9:00 am to noon. He walked an additional 17.2 miles from 1:00 pm. What is his average rate for the entire walk, miles per hour?

Answers

(12.8+17.2)/((12-9)+(6-1))
30/(3+5)
30/8
15/4
3.75mph
It's been awhile since I've done this type of math but I hope I got it right.



3 miles per hour. Theres 4 hours between 9 am and 12 and another 6 from 1to 6.so ten hours. then 12.8 plus 17.8 thats 30 then 30 divided by ten is 3 miles per hour. Your welcome :)

Write log3 6 as a logarithm of base 2.1) (log2)3/(log2)6
2) (log2)6/(log2)3
3) (log3)2/(log6)2
4) (log6)2/ (log3)2 ...?

Answers

The answer is 2) (log2)6/(log2)3.

Use the change-of-base formula: log_a(x)= (log_b(x))/(log_b(a))

So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:
log_3(6)= (log_2(6))/(log_2(3))

The correct expression for log3 6 as a logarithm of base 2 is option 1) (log₂ 3) / (log₂ 6).

To express log₃ 6 as a logarithm of base 2, we can use the change of base formula. The change of base formula states that logb x = (logc x) / (logc b), where c is any positive value other than 1.

Applying the change of base formula to log3 6:

log₃ 6 = (log₂ 6) / (log₂ 3)

Therefore, the correct expression for log3 6 as a logarithm of base 2 is option 1) (log₂ 3) / (log₂ 6).

To calculate it properly, we need to find the decimal approximation of this expression:

Using the appropriate logarithmic functions, we have:

(log₂ 3) / (log₂ 6) ≈ 1.58496 / 2.58496 ≈ 0.6124

Thus, log₃ 6 as a logarithm of base 2 is approximately 0.6124.

To know more about logarithm:

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Jorge lives 6/8 mile from school and 2/8 mile from a ballpark how much farther does Jorge live from school than from the balloark

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he live 1/2 mile father from school than the ballpark

What is the solution of the equation 3x − 7 = 4x?
-7
-1
1
7

Answers

The solution of this equation is -7.
3x - 7 = 4x
3x - 7 - 4x = 0
3x - 4x - 7 = 0
-x - 7 = 0
-x = 7
x = -7
3x-7=4x
3x-4x=7
-x=7   |*(-1)
 x=-7
Answer: -7

The midpoint of AB is M(7,-5). If the coordinates of A are (6, - 7), what are thecoordinates of B?

Answers

Final answer:

To find the coordinates of B, we use the formula for finding the midpoint of a line segment. By plugging in given values and arranging the equation, we get B(8, -3).

Explanation:

To find the coordinates of B, you'd use the formula for the midpoint of a line segment. The midpoint is calculated as follows - ((x1+x2)/2, (y1+y2)/2). Here, the coordinates of the midpoint M(7,-5) and A(6, -7) are given.

Plugging these in the formula:
7=(6 + x2)/2
-5=(-7+ y2)/2

By cross multiplying and arranging the equations, we can find the value of x2 and y2 - these will be the coordinates of point B.

Solving the equations gives B(8, -3) as a result.

Learn more about Midpoint Formula here:

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Answer:(8,-3)

Step-by-step explanation:

X2=8 Y2=-3