# True or false log(x+y)-logy=logx

2 months ago

## Solution 1

Guest #6877800
2 months ago
Log(x + y) - logx = logx

By laws of logarithm, logA - logB = log(A/B)

log(x + y) - logx = log((x +y)/x)

log((x +y)/x) is not equal to log x.

So the statement:

log(x + y) - logx = logx  is    False.

Hope this helps.

## Solution 2

Guest #6877801
2 months ago
False. That is not how properties of logs works. log(xy)=logx+logy, not log(x+y)=logx+logy.

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A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional$0.20 for each mile traveled. The rule c =0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 2.7 mile ride?
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Solution 1

The Mr. Grant has to pay $819.48 more. Step-by-step explanation: Given : Mr. Grant's credit card bill was$2,684.72. If he has already paid off $1,865.24 of the amount due. We have to find the amount left to pay. Since, Total credit card bill of Mr. Grant was$2,684.72

And he paid amount $1,865.24 Total amount left = Total amount - Total paid amount Total amount left =$2,684.72  -  $1,865.24 Total amount left =$819.48

Thus, The Mr. Grant has to pay \$819.48 more.

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Question
What is true of the function g(x) = –2x2 + 5? g(x) is the multiplication of g and x. –2x2 +5 is the input of the function. The variable x represents the independent variable. The variable g represents the input of the function.
Solution 1

3. The variable x represents the independent variable.

Step-by-step explanation:

We are given the function, .

So, according to the options, we have,

1. As g(x) represents a function. So, g(x) is not the multiplication of g and x.

2. As the value is the output value. So, it is not the input value.

3. The variable x is an independent variable.

4. As, the variable g is the output value. So, it is not the input value of the function.

Hence, the true statement for the given function is,

3. The variable x represents the independent variable.

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Question
A right angled triangle has sides 3 cm and 8cm respectively less than its hypotenuse. Find the lenght of hypotenuse to nearest milimeter
Solution 1

Length of the hypotenuse  of a right angled triangle is equals to 85millimeter (nearest mm).

### What is right angled triangle?

" A right angled triangle is a polygon with three sides , three vertices and three angles enclosed in it, with one of the angle equals to 90°."

Formula used

Pythagoras theorem

(Hypotenuse)² = (side one)² + ( side two )²

Value used

1cm = 10mm

According to the question,

Given,

In a right angled triangle

Side one  = 3cm

Side two = 8cm

Substitute the value in the formula we get,

(Hypotenuse)² = (3)² + (8)²

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= 85.44mm

≈ 85 mm( nearest mm)

Hence, Length of the hypotenuse  of a right angled triangle is equals to 85millimeter (nearest mm).

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Solution 2
3cm= 30mm
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c^2 = a^2 + b^2
= 30^2 + 80^2
= 7300
c= square root of 7300
= 85.44003745
= 85mm

Hope this helps!

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