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12345 [234]
3 years ago
14

Solve by factorising x^2 + 8x + 15 = 0

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

x² + 8x + 15 = 0

x² + 5x + 3x + 15 = 0

x x (x + 5) + 3x + 15 = 0

xx (x + 5) +3 (x + 5) = 0

(x + 5) × (x + 3) = 0 → x + 5 = 0       x + 3 = 0

x = -5

x + 3 = 0

x = -5

x = -3

x1 = -5

x2 = -3

Hope this helped ! :)

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A circle has a radius of 6. An arc in this circle has a central angle of 330
sashaice [31]

Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

3 0
3 years ago
Read 2 more answers
PLEASE ANSWER THESE QUESTIONS!!!!! I WILL MARK YOU AS BRAINLIEST!!!!!! :) :)
Dimas [21]

Answer:

I really don't know how to work this problem sorry. I just wanted to say something so you didn't think that I was Ignoring you

6 0
3 years ago
If the cost of two tires is $130.56 ,how much will cost to buy ten tires?
Nuetrik [128]

Answer:

652.8

Step-by-step explanation:

2 = 1/5 of 10

so multiply 130.56 and 5 to get 652.8

3 0
2 years ago
Bacteria colonies increase by 37% every 2 days. If you start with 55 microorganisms, how large would the colony be after 10 days
ahrayia [7]

The number of microorganisms that I will have after 10 days would be: 245.41 microoganisms.

<h3>How to calculate the number of microorganisms that I will have after 10 days?</h3>

To calculate the number of microorganisms that I will have after 10 days, I must perform the following operations:

We need to find 37% of 55 as shown below:

  • 55 ÷ 100 = 0.55
  • 0.55 x 37% = 20.35
  • 55 + 20.35 = 75.35

So after 2 days I will have 75.35 microorganisms.

  • 75.35 ÷ 100 = 0.75
  • 0.7535 x 37% = 27.87
  • 75.35 + 27.87 = 103.22

On the fourth day I will have: 103.22 microorganisms.

  • 103.22 ÷ 100 = 1.0322
  • 1.0322 x 37% = 38.19
  • 103.22 + 38.19 = 141.41

On the sixth day I will have 141.41 microorganisms.

  • 141.41 ÷ 100 = 1.4141
  • 1.4141 x 37% = 52.32
  • 141.41 + 52.32 = 193,73

On the eighth day I will have 193.73 microorganisms.

  • 193.73 ÷ 100 = 1.9373
  • 1.9373 x 37% = 71.68
  • 193.73 + 71.68 = 265.41

On the tenth day I will have 245.41 microoganisms.

Learn more about percentages in: brainly.com/question/13450942

#SPJ1

3 0
1 year ago
A number is rolled what is the probability of 2, then 2
ra1l [238]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷There is a dice and you have 6 numbers

The probability is 1/36, since it is 1/6 to get a 2 the first time, and 1/6 the next time.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

8 0
3 years ago
Read 2 more answers
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