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Gekata [30.6K]
3 years ago
14

Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values

of x and y. Then evaluate the simplified expression. The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is .
Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0
<span><span><span><span>4x = 16</span><span>log 4x = log 16</span> </span><span>Take the common logarithm of both sides. (Remember, when no base is written, that means the base is 10.) What can you do with that new equation?</span></span><span> <span><span>log 4x = log 16</span>x<span> log 4 = log 16</span></span>Use the power property of logarithms to simplify the logarithm on the left side of the equation.</span><span> <span>x<span> log 4 = log 16</span></span><span>Remember that log 4 is a number. You can divide both sides of the equation by log 4 to get x by itself.</span></span><span>Answer<span>Use a calculator to evaluate the logarithms and the quotient.</span></span></span>
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What is the slope of a line perpendicular to the line whose equation is 3x+6y=-183x+6y=−18. Fully reduce your answer.
schepotkina [342]

Answer:

2

Step-by-step explanation:

The given equation of line is

3x+6y=-18

We need to find the slope of a line which is perpendicular to the given line.

The given equation can be rewritten as

3x+6y+18=0      ...(i)

If a line is defined as ax+bx+c=0, then the slope of the line is  

m=-\dfrac{a}{b}

In equation (i), a=3, b=6 and c=18. So, slope of the line is

m_1=-\dfrac{3}{6}=-\dfrac{1}{2}

Let m_2 be the slope of perpendicular line.

We know that product of two perpendicular line is -1.

m_1\cdot m_2=-1

(-\dfrac{1}{2})\cdot m_2=-1

Multiply both sides by -2.

m_2=2

Therefore, the slope of perpendicular line is 2.

6 0
3 years ago
Choose the solutions to the quadratic equation
WITCHER [35]
29 I think but iam not sure if it’s right
4 0
2 years ago
Describe the possible side lengths of the 3rd side of the triangle given the lengths of the 2 other sides?
Sindrei [870]
Heya !

Using a theoram about triangles ,

Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,

Also , the length of third side always greater than absolute difference of the other two sides ,

Let the third side be x ,

So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1

Hence , x ∈ [ 2 , 17 ] inch.

Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...

As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,

For right angled triangle , we have 2 cases ,

Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.

Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.

Hope it helps you ! :)
8 0
3 years ago
Read 2 more answers
HELP WILL MARK BRAINLIEST!!!!!!!
zlopas [31]

Answer and Step-by-step explanation:

4 hours on Monday, so subtract 4 from 16.

We get 12.

So now it says twice as many on Saturday as on Thursday

So two numbers that add up to 12, but one number is twice the other number, would be 4.

4 times 2 is 8, and 4 + 8 is 12. 12 + 4 = 16

8 is the answer.

Kyle works 8 hours on Saturday.

Since 8 is twice the amount of 4, and 8 + 4 + 4 equals 16.

<em><u>#teamtrees #PWA (Plant And Water)</u></em>

4 0
2 years ago
Divide the question thank you​
telo118 [61]

Answer: x-6

Step-by-step explanation:

3 0
2 years ago
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