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3 years ago

Hi, could you help answer the questions in the image below?

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

7 0

In the second picture, top left is order 2, top right is order 4, bottom right is order 4, bottom left is order 2 I think but I'm not positive on that one. That's all I know for now, I'm currently in Calculus so my Geometry is a bit rusty.

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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

Read 2 more answers

Solve the quadratic equation. 22 – 9 = 16

Colt1911 [192]

Answer:

22-9=16

so,

22-9

is 16

then you would take

16=16

so, you would have to divide the 2 numbers

then 1 is your answer

Step-by-step explanation:

6 0

3 years ago

two points are given (-1,-4) and (-3,6) use the coordinates of the two points to set up the equation for rate of change the solv

lisabon 2012 [21]

The formula to find the rate of change is y2-y1/x2-x1
6-(-4)/-3-(-1)
=10/-2
=-5

4 0

3 years ago

3x + y = -21<br> x+y=-5<br> solving systems of equations by substitution

katen-ka-za [31]

First : x=-5-y and then put x in the phrase above

7 0

3 years ago

If a restaurant bills totals $85, what amount should be left as a 15$ tips

IgorC [24]

If the total bill is $85, and you want to leave a 15% tip, then you can calculate it as follows:

85 * 15%

= 85 * 15/100

= 85 * 0.15

= 12.75

The amount that should be left as a tip is D. $12.75.

6 0

3 years ago