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Jobisdone [24]
3 years ago
11

Given the center and radius of a circle, write the equation of the circle.

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calc</u>

Circle Center Formula: (x - h)² + (y - k)² = r²

  • <em>(h, k)</em> is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>(h, k)</em> = (-2, 1)

<em>r</em> = 5

<u>Step 2: Find Equation</u>

  1. Substitute in variables [Circle Center Formula]:                                             (x - -2)² + (y - 1)² = 5²
  2. Simplify:                                                                                                             (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

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Dale currently has $599 in his savings account. Prior to getting paid, he had $230 in his savings account. How much was Dale’s p
nlexa [21]
Hi!

So really focus on the fact that he started at $230, and then added an amount of money which we'll call x, which made his total equal $599. 

Take the parts I put in bold, and write the equation.
$230 + x = $599

Now we need to find x. 

Whatever we do to the equation, we do it to both sides. 
Our goal is to isolate x on one side. 

Subtract 230 from both sides. 
$230 - $230 + x = $599 - $230
x = $369

The answer is A. $230 + x = $599 x = $369

Hope this helps! :)
-Peredhel
8 0
3 years ago
Simplify the following expression by combining like terms and factoring. 2(x-6)+4(2x+1)+3
Shkiper50 [21]

Answer:

5(2x - 1)

Step-by-step explanation:

Given

2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis

= 2x - 12 + 8x + 4 + 3 ← collect like terms

= (2x + 8x) + (- 12 + 4 + 3)

= 10x + (- 5)

= 10x - 5 ← factor out 5 from each term

= 5(2x - 1) ← in factored form

4 0
3 years ago
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question: graph of 2x cubed plus x squared minus
Zina [86]

Answer:

7

Step-by-step explanation:

f(x) = 2x^3 + x^2 − 3x + 1

f'(x) = 6x^2 + 2x − 3

The slope at -2:

f'(-2) = 6(-2)^2 + 2(-2) − 3

f'(-2) = 24 + -4 − 3

f'(-2) = 17

-----

The slope at 0:

f'(0) = 6(0)^2 + 2(0) − 3

f'(0) =  − 3

The average rate of change is (17+(-3))/2, or 14/2, or 7

                           

6 0
2 years ago
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20pts!!! PLS HELP!!!
vodka [1.7K]

Answer:

(x - 1) x (5x + 4)

Step-by-step explanation:

5 x 2 – 4 = 6

5 x 4 – 4 = 16  

6 x 2 – 11x – 4 = 56    

5 x 2 – x – 4 = (x - 1) x (5x + 4)

5 0
3 years ago
The measure of angle RTP is 50 degrees. Find the measure of angle TPS.<br> 140<br> 65<br> 40
mr Goodwill [35]

Answer:

<h2>40</h2>

Step-by-step explanation:

90 degree angle

90 - 50 = 40

4 0
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