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olga55 [171]
2 years ago
15

Determine the graph of the equation 16^2 + 16^2 − 16 + 24 − 61 = 0.

Mathematics
1 answer:
Verizon [17]2 years ago
6 0

Answer:

Enter a problem...

Precalculus Examples

Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0

16

x

2

+

16

y

2

−

16

x

+

24

y

−

3

=

0

Add

3

to both sides of the equation.

16

x

2

+

16

y

2

−

16

x

+

24

y

=

3

Divide both sides of the equation by

16

.

x

2

+

y

2

−

x

+

3

y

2

=

3

16

Complete the square for

x

2

−

x

.

Tap for more steps...

(

x

−

1

2

)

2

−

1

4

Substitute

(

x

−

1

2

)

2

−

1

4

for

x

2

−

x

in the equation

x

2

+

y

2

−

x

+

3

y

2

=

3

16

.

(

x

−

1

2

)

2

−

1

4

+

y

2

+

3

y

2

=

3

16

Move

−

1

4

to the right side of the equation by adding

1

4

to both sides.

(

x

−

1

2

)

2

+

y

2

+

3

y

2

=

3

16

+

1

4

Complete the square for

y

2

+

3

y

2

.

Tap for more steps...

(

y

+

3

4

)

2

−

9

16

Substitute

(

y

+

3

4

)

2

−

9

16

for

y

2

+

3

y

2

in the equation

x

2

+

y

2

−

x

+

3

y

2

=

3

16

.

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

−

9

16

=

3

16

+

1

4

Move

−

9

16

to the right side of the equation by adding

9

16

to both sides.

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

=

3

16

+

1

4

+

9

16

Simplify

3

16

+

1

4

+

9

16

.

Tap for more steps...

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

=

1

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

1

h

=

1

2

k

=

−

3

4

The center of the circle is found at

(

h

,

k

)

.

Center:

(

1

2

,

−

3

4

)

These values represent the important values for graphing and analyzing a circle.

Center:

(

1

2

,

−

3

4

)

Radius:

1

image of graph

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Algebra 1 A Adaptive CR (JL22) 1/Tools Of The Trade
Archy [21]

The simplified expression of (4^3)(\frac{4^4^0x^4}{3^2x^2y^2}) is \frac{4^7x^2}{3^2y^2}

<h3>How to simplify the expression?</h3>

The expression is given as:

(4^3)(\frac{4^4^0x^4}{3^2x^2y^2})

Expressions raise to power 0 is 1.

So, we have:

(4^3)(\frac{4^4x^4}{3^2x^2y^2})

Apply the law of indices to expression with common base

(\frac{4^{4+3}x^{4-2}}{3^2y^2})

Evaluate the sum and difference

(\frac{4^7x^2}{3^2y^2})

Remove the bracket

\frac{4^7x^2}{3^2y^2}

Hence, the simplified expression of (4^3)(\frac{4^4^0x^4}{3^2x^2y^2}) is \frac{4^7x^2}{3^2y^2}

Read more about exponents at:

brainly.com/question/847241

#SPJ1

8 0
1 year ago
Asap! please help i’ll give brainliest
Aleonysh [2.5K]

Answer: 2nd one

Step-by-step explanation: Look at the options. In all of the options, the number of 0's is 3 so you don't have to look for the zero's. Next look at the one's. The first 2 have 2 ones and the next 2 have 3. The number of ones in the data is 2 so you can eliminate the last 2. Then look at the 2's between the top 2. In the first one, there is 2 and in the second one there is only one. In the data table, there is one 2 so the answer has to be the 2nd one. Hope this helps :)

6 0
3 years ago
If a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume​
OlgaM077 [116]

Answer:

8.1 g/cm

Step-by-step explanation:

3 0
3 years ago
Can two different numbers have the same absolute value? If yes, give an example. If no, explain why not
zalisa [80]


If u wanna go by a technical term then yes, it can. The positive and negative side of a number. 4 example, -5. It's absolute value is 5. Positive 5's absolute value is 5 as well.

Now if u don't wanna be technical and don't want to use negative numbers, then no, it cannot.

7 0
3 years ago
Read 2 more answers
Simultaneous Equations <br> 2x+4y=22 <br> 2x+2y=15
Aleks04 [339]

Answer:

x = 4

y = \frac{7}{2}

Step-by-step explanation:

Ummmm

I'm not sure if this is corrrect but this is what I got

So first you solve 2x+4y=22 to find x

and you get x = -2y+11

Then you have to subtitute -2y+11 for x in 2x+2y=15

which you then get y= \frac{7}{2}

After you have to subttitute y= \frac{7}{2}  for y in x = -2y+11

which you get as x=4

Finally you get the answer as:

x = 4

y = \frac{7}{2}

5 0
3 years ago
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