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3 years ago

If log x = 2 log a + log b, then x equals

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

Answer:

x = a^2 b

Step-by-step explanation:

log x = 2 log a + log b

We know that

c log d = log d^c

log x = log a^2 + log b

We know that log c* log d = log cd

log x = log a^2 b

Since they are both logs

x = a^2 b

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Alondiscoperis building two circuior gardens. The smaller garden hos a sodius of 2 meters. The larger garden has an area that is

Vesnalui [34]

Answer:

4 $\pi$ * 7 = 28 $\pi$

28 $\pi$ - 4 $\pi$ = 24 $\pi$ = 75.36

75 square meters

Step-by-step explanation:

7 0

2 years ago

Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?

Sliva [168]

Answer:

$y-18=-2(x+2)^2$

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

$y-k=a(x-h)^2$

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

It's been given the vertex of the parabola as (-2,18):

$y-18=a(x+2)^2$

Now substitute the point (-5,0) and find the value of a:

$0-18=a(-5+2)^2$

Operating:

$-18=a(-3)^2$

$-18=9a$

Solving for a:

$a = -18 / 9$

a = -2

Thus, the equation of the quadratic function is:

$\mathbf{y-18=-2(x+2)^2}$

7 0

2 years ago

I need help I don’t know how to do this

IgorLugansk [536]

Answer:

PL and LM

Step-by-step explanation:

The definition of perpendicular is two lines that create a 90 degree angle. There are a lot of those in a rectangular prism. One of them is PL and LM, because they intersect to create a right angle.

7 0

1 year ago

What actions did colonists take to protest the Townshend Acts?

brilliants [131]

Answer:

The Townshend Acts would use the revenue raised by the duties to pay the salaries of colonial governors and judges, ensuring the loyalty of America's governmental officials to the British Crown. However, these policies prompted colonists to take action by boycotting British goods.

-Hope this helps :)

8 0

3 years ago

Simplify.<br><br> 5 • 2 • (–4) + 6 ÷ 2

Natasha2012 [34]

Answer:

- 37

Step-by-step explanation:

5 • 2 • ( - 4 ) + 6 ÷ 2

= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]

= 10 • ( - 4 ) + 3

= - 40 + 3

= - 37

4 0

2 years ago