The bank has 5 Vaults.Each vault contains 5 drawers 5 stacks and $25 what’s in the bank?

The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

3 years ago

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Ruby signed up for a frequent-filer program. She receives 3400frequent-flier miles for the first round trip and 1200 miles for a

vovangra [49]

Answer: 8200 miles

Step-by-step explanation:

Based on the question, since she wants to go for five round trips, her first round trip is fixed at 3400 and she will have 4 more additional trips. This can them be calculated as:

= 3400 + 1200x

x = additional trips = 4

We then put the value of x into the equation

= 3400 + 1200x

= 3400 + 1200(4)

= 3400 + 4800

= 8200

She'll have 8200 mile after 5 round trips

3 0

2 years ago

What is 0.69696969 expressed as the quotient of two integers in simplest form?

timofeeve [1]

When written as the quotient of two integers,

   0.69696969 = <em>69,696,969 / 100,000,000 .</em>

<u>If</u> you had said that the ' 69 ' keeps repeating forever and never ends,
then that decimal would represent the fraction
   23 / 33 .

3 0

3 years ago

A customer bought the following items for her children during a back-to-school sale 2 dresses at $31.50 each 1 purse at $10.98

Ludmilka [50]

Answer:

what is the question? this is a statement...

5 0

3 years ago

Jan plans to spend $100 on a pair of jeans and shirts. She buys 2 shirts for $24 each. What is the most she can spend on the jea

Volgvan

Answer:

52

Step-by-step explanation:

24+24=48

100-48=52

6 0

3 years ago

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