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likoan [24]
3 years ago
14

Find the center and radius of the attached circle that goes through the point (-4,-1)

Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0

Answer:

I think the Radius is 3. I'm not really sure, don't quote me on it. K?

Step-by-step explanation:

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Find the complex zeros of <br><img src="https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%7Bx%7D%5E%7B3%20%7D%20%20-%2013%20%7Bx%7D%5
timama [110]

f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3)  - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\

\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i

6 0
3 years ago
Liam buys three identical plastic
liq [111]

The number of rectangular prism container that would be set on the shelf is: 4.

<h3>What is the Volume of a Rectangular Prism?</h3>

Volume of rectangular prism = length × width ×height

Given the following:

  • Volume of three containers = 135 in.³
  • Volume of each rectangular prism container = 135/3 = 45 in.³
  • One face = width × height = 4.5 × 2 = 9 in.

Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³

45 = length × 9

length = 5 in.

Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.

The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.

Learn more about rectangular prism on:

brainly.com/question/1015291

7 0
2 years ago
Ms. Nickel wants to divide her class of 23 students into 4 equal teams . Is this reasonable ?
algol [13]
No, 23 can't be divided four times. 
23/4=5.75

4 0
3 years ago
Read 2 more answers
Carson and Jayden kept track of how many miles they ran during one week. Carson ran a total of 43 miles, which was 12 miles more
kozerog [31]

Answer:

31

Step-by-step explanation:

So the answer is 31 because

Carson ran 43

Jayden ran 12 miles less

so subtract 43-12=31

7 0
3 years ago
Read 2 more answers
Manuel bought 9 pounds of apples. He has eaten 1.5 pounds so far and has $15
Artyom0805 [142]

Answer:

  • $2 per pound

Step-by-step explanation:

Let the cost of apples be x

<u>Then we have equation:</u>

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  • x = 15/7.5
  • x = 2

<u>Cost of apple:</u> $2 per pound

8 0
3 years ago
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