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3 years ago

The circle x2+y2=36 is translated 5 Units left and 4 units up where is the center of the new circle after the translation

1 answer:

6 0

The general equation of a circle is given by:
(x-a)^2+(x-b)^2=r^2
where:
(a,b) is the center
r is the radius

given the equation:
x^2+y^2=36
it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to
(-5,4)
thus the equation will be:
(x+5)^2+(y-4)^2=36

Answer: (x+5)^2+(y-4)^2=36

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Find the value of X and give a reason for the relation ship between the angles.

Ostrovityanka [42]

Answer:

x = 55

Step-by-step explanation:

(x - 14) + 99 + 220 = 360

x - 14 + 99 + 220 = 360

x - 14 + 319 = 360

x + 305 = 360

x = 360 - 305

x = 55

-TheUnknownScientist

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=14r%20-%208r%3D%20126" id="TexFormula1" title="14r - 8r= 126" alt="14r - 8r= 126" align="absmi

LuckyWell [14K]

14r – 8r=126

6r=126

R=21

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7 0

2 years ago

What is the maximum value of the objective function, P, with the given constraints?

maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

$P=20x+35y$

Constraints,

$x+y \leq 12$

$5x+y \leq 20\\x \geq 0\\y \geq 0$

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

$P=20x+35y$

Point (0,0)

$P=20(0)+35(0)=0$

$P=20x+35y$

Point (0,12)

$P=20(0)+35(12)=420$

Point (2,10)

$P=20(2)+35(10)=40+350=390$

Point (4,0)

$P=20(4)+35(0)=80$

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

8 0

3 years ago

I wish to digitally store a very old book written in an ancient Chinese language. What is the minimum number of megabytes (to th

Alisiya [41]

Answer:

The total number number of megabytes required to store the book is

Step-by-step explanation:

The smallest unit of storage on a computer are Bits. That is, a single on/off value.

This is different from a Bytes.

Bytes are often represented by the capital letter B, bits by a lower case b.

Please note: A single typed character (for example, 'x' or '8') is stored in one byte.

1 Byte = 8 bits.

1, 000 Bytes = 1 Kilobyte and

1,024 Kilobytes = 1 Megabyte

Therefore 1,000,000 Bytes = 1 Megabyte

STEP I - Get the Number of Bytes required.

Each symbol = 1 byte

Each Page has 445.8 symbols

The book has 360 pages.

Therefore, total number of symbols =

445.8 x 360

= 160, 488 Bytes

If our answer has to be in Megabytes, recall that 1,000,000 Bytes = 1 Megabyte.

Therefore the minimum number of megabytes required to store the book =

160,400/1,000,000

= 0.1604

In three decimal places our answer therefore is

= 0.160 Megabytes or 0.160MB.

Cheers!

8 0

2 years ago

Can someone help me please I will really appreciate it

Nataliya [291]

I do not understand ???????????????????

5 0

3 years ago

Read 2 more answers