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dangina [55]
2 years ago
14

Clara simplifies (8b

Mathematics
1 answer:
xeze [42]2 years ago
5 0

Answer:

8b estaSIMPLIFIC ADA

Step-by-step explanation:

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i don't understand how to make it into a graphing form? how do you find the center and radius? (I'm confused because it has a 4x
Vilka [71]

Answer: \bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}

               Center = (2, 3)          radius = \bold{\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

(x-h)² + (y-k)² = r²    where

  • (h, k) is the vertex
  • r is the radius

1) Group the x's and y's together and move the number to the right side

   4x² - 16x         + 4y² - 24y               = -51        

2) Factor out the 4 from the x² and y²

    4(x² - 4x          ) + 4(y² - 6y            ) = -51

3) Complete the square (divide the x and y value by 2 and square it)

    4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)

  = 4(x - 2)² + 4(y - 3)² = -51 +  16  +  36

  = 4(x - 2)² + 4(y - 3)² = 1

4) Divide both sides by 4

   (x-2)^2+(y-3)^2=\dfrac{1}{4}

  • (h, k) = (2, 3)
  • r=\dfrac{1}{2}

6 0
3 years ago
Paul is 20 years old. He is four times older than his sister.
attashe74 [19]

Answer: Paul will be 30 years old

Step-by-step explanation:Let the age of her sister be x, then from the given data

=> 4x = 20

=> x = 5 years

The age of her sister is 5 years

In the second case, paul is twice as old as his sister

=> Age of paul = 2(x)

=> Age of paul = 10 years

Paul will be 10 years old when he is twice as old as his sister

3 0
1 year ago
Read 2 more answers
The perimeter of triangle ABC is 32 find the lengths of AC and AB​
Nutka1998 [239]

The lengths of AC and AB​ are each 10.6 units.

<u>Step-by-step explanation</u>:

Perimeter of a triangle = Sum of all the three sides of a triangle

  • Perimeter = 3a
  • where, a is the length of the each sides of a triangle.

⇒ 32 = 3a

⇒ a = 32/3

⇒ a = 10.6

6 0
3 years ago
Add the following complex numbers:<br> (6 - 21) + (11 +61)
umka2103 [35]

Answer:

ugh I think its red

Step-by-step explanation:

I'm kidding its 57

5 0
2 years ago
Read 2 more answers
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n &gt; 1? 5,–1, –7, –13, –19, ...
o-na [289]

Answer:

5

Step-by-step explanation:


3 0
3 years ago
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