MATHEMATICS HIGH SCHOOL

Solve Equation
log (x-9) = 1 - log x

Answers

Answer 1
Answer: \log (x-9) = 1 - \log x \n D:x-9>0 \wedge x>0\n D: x>9 \wedge x>0\n D:x>9\n \log(x-9)+\log x=1\n \log x(x-9)=1\n 10^1=x^2-9x\n x^2-9x-10=0\n x^2+x-10x-10=0\n x(x+1)-10(x+1)=0\n (x-10)(x+1)=0\n x=10 \vee x=-1\n -1\not \in D \Rightarrow x=10

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What is the disadvantages of using a credit card

Answers

Bad credit is a disadvantage especially when you have to pay back the money used from the credit card

Carol and Jan leave from the same place and travel on the same road going the same direction. Carol walks at a rate of 2 miles per hour. Carol left 5 hours earlier than Jan, but Jan rides a bike at a rate of 6 miles per hour. How far did the travel when Jan caught up to Carol?

Answers

Let, the time when Jan cough up to Carol = x

We know, Distance = Speed * Time.

So, Equation would be: 2x + 5*2 = 6x

2x + 10 = 6x

6x - 2x = 10

4x = 10

x = 10/4 = 2.5

Distance traveled in that time = 2.5 * 6 = 15 miles

In short, Your Answer would be: 15 miles

Hope this helps!

What is the positive solution of x2 – 36 = 5x?

Answers

The equation x^2 - 36 = 5x is a quadratic equation and can be solved thus: x^2 - 36 = 5x x^2 - 5x - 36 = 0 x^2 + 4x - 9x - 36 = 0 x(x + 4) - 9(x + 4) = 0 (x - 9)(x + 4) = 0 x - 9 = 0 or x + 4 = 0 x = 9 or x = -4 Therefore, the positive solution of x^2 - 36 = 5x? is 9.

short answer is 9 for anyone who wants it.

Yes the full answer is -4, 9 but the question asks for the POSITIVE SOLUTION so the answer is just 9

What does a polygon look like? A polygon has 6 sides

Answers

Hi there!


If you're talking about the polygon, called the hexagon, which has 6 sides, the attached file is what one looks like. :)


Hope this helps!

Message me if you need anything else, I'd be happy to answer any of your questions! :D

PLEASE HURRY, ITS TIMED >>>>...

Answers

Answer: the answer is A

Step-by-step explanation:
M and O is collinear. N is not because it is in the middle of that intersection

How many different ways can a director select 4 actors from a group of 20 actors?

Answers

Number of ways = 20C4
Number of ways =  (20 x 19 x 18 x 17) ÷ (4 x 3 x 2 x 1)
Number of ways =  116280  ÷ 24 
Number of ways =  4845.

Answer: 4845
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