Identify the center and radius. <br><br> (x+13)^2 +(y-8)^2 =10

Help me ! please thamks

Bond [772]

Answer:

The answer will be -13

-15+-13=-28

8 0

4 years ago

By which smallast number must the following number be divided so that the quotient is a perfect cube

jenyasd209 [6]

Answer:

60

Step-by-step explanation:

8640/60 is 144. 144 is a perfect square. 12*12 is 144

8 0

3 years ago

Read 2 more answers

The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am

posledela

Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

$N = N_0 * (\frac{1}{2})^{t/p$

$N_0$ is the starting amount of parent element.

$N$ is the end amount of parent element

$t$ is the time elapsed

$p$ is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days$

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g$

c.

Now we just gotta do some algebra. Use the original function but this time, replace $N(t)$ with 10g and solve algebraically.

$10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}$

Take the log of both sides.

$log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})$

Use the exponent rule for log laws that, $log(b^x) = x*log(b)$

$log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})$

$\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}$

$2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t$

slap that in your calculator and you get

$t = 8.1 days$

7 0

2 years ago

A rectangular parking lot is 120 feet long and 75 feet wide. Diego made another scale drawing of the parking lot at a scale of 1

andrew11 [14]

Answer:

We kindly invite you to read carefully the explanation detailed below for further details.

Step-by-step explanation:

At first we understand that Diego converted length and wide units from feet to inches ( $1\,ft = 12\,in$ ) and then he divided each term by 180, since he was using a reduction scale, so that rectangular parking lot can be represented on paper. That is:

Step 1 - Unit conversion:

$l = 120\,ft$ ( $l$ - Length)

$l = 120\,ft\times \frac{12\,in}{1\,ft}$

$l = 1440\,in$

$w = 75\,ft$ ( $w$ - Width)

$w = 75\,ft\times \frac{12\,in}{1\,ft}$

$w = 900\,in$

Step 2 - Applying scaling:

$l' = \frac{l}{180}$ ( $l'$ - Scaled length)

$l' = \frac{1440\,in}{180}$

$l' = 8\,in$

$w' = \frac{w}{180}$ ( $w'$ - Scaled width)

$w' = \frac{900\,in}{180}$

$w' = 5\,in$

6 0

4 years ago

40 POINTS answer correctly

Alexxx [7]

Since the denominator is the number on the bottom, we need to find a common denominator for a and 5a^2. Since a*5a is 5a^2, we have a common denominator - 5a^2! For the fractions, that means that since a*5a=5a^2, we have to multiply -7 by 5a to get -35a/5a^2-9/5a^2=(-35a-9)/5a^2

7 0

3 years ago

Read 2 more answers

Identify the center and radius. (x+13)^2 +(y-8)^2 =10