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guapka [62]
3 years ago
12

Log 15 (2x − 2) = log 15 (x+9)

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

x=11

Step-by-step explanation:

Given the equation

\log_{15}(2x-2)=\log_{15}(x+9)

Note that

2x-2>0\\ \\2x>2\\ \\x>1

and

x+9>0\\ \\x>-9

Combined, x>1

Solve the equation:

2x-2= x+9\\ \\2x-x=9+2\\ \\x=11

Since 11>1, this is the solution to the equation.

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kolezko [41]

Answer:

56 m

Step-by-step explanation:

The area of a rectangle is found by multiplying length by width. since we already know the length, then we can just divide the total area by the length to find the width.

5432/97 = 56

and to check our work, make sure to multiply length by width.

97 * 56 = 5432

4 0
3 years ago
Read 2 more answers
You have several options to add to your brand new car: leather seats, heated seats, sunroof, tinted windows, and back up camera.
scZoUnD [109]

Answer:

The number of different ways the car can be built is 31 different ways

Step-by-step explanation:

The given options are'

1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera

Therefore, the number of different ways the car can be built, n, is given as follows;

n = ₅C₁  + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅

n = 5 + 10 + 10 + 5 + 1 = 31 different ways

The number of different ways the car can be built = n = 31 different ways

3 0
2 years ago
The expression (x2 + 16x + 64) – (x + 8)(x – 4) can be rewritten as k(x + 8). What is the value of k? k =
9966 [12]

expanding \\  {x}^{2}  + 16x + 64 - ( {x}^{2}  + 4x - 32)  \\ distributing \:  - 1 \\  {x}^{2}  + 16x + 64 -  {x}^{2}  - 4x + 32 \\ 12x + 96 \\ take \: a \: factor \: of \: 12 \\ 12(x + 8) \\ so \: k = 12
5 0
3 years ago
Solve for x -2(4x-3)=30<br> X=-2 <br> X=-3<br> X=-4<br> X=-6
Sergio039 [100]

Answer:

Step-by-step explanation:

x-2(4x-3)=30

x-8x+6=30

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-7x=24

x=-24/7 maybe it is a mistake in the statement of the problem

8 0
3 years ago
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Solve the following problems
rosijanka [135]

Answer:

135°

Step-by-step explanation:

∠AOB = ∠COB = 90°

∠BOK = 45°

90 + 45 = 135°

8 0
2 years ago
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