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Delicious77 [7]
2 years ago
12

How do you rewrite an equation by completing the square? x^2+10x+21=0

Mathematics
1 answer:
AleksAgata [21]2 years ago
7 0

Answer:

Step-by-step explanation:

x²+10x+21=0

x²+10x+(10/2)²-(10/2)²+21=0

x²+10x+25-25+21=0

(x+5)²-4=0

(x+5)²=4

(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²

(x+y)²=x²+2xy+y²

coefficient of x=2y

y²=[(coefficient of x)/2]²=(2y/2)²=y²

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<img src="https://tex.z-dn.net/?f=%28-5x%5E3%29%5E3%2F%2810x%5E5%29%5E2" id="TexFormula1" title="(-5x^3)^3/(10x^5)^2" alt="(-5x^
marta [7]

Answer:

-\frac{5}{4x}

Step-by-step explanation:

<h2>\left(-5x^3\right)^3\div \left(10x^5\right)^2</h2><h2>\frac{-5^3x^9}{\left(10x^5\right)^2}</h2><h2>\frac{-5^3x^9}{10^2x^{10}}</h2><h2>\frac{-5^3x^9}{5^2\cdot \:2^2x^{10}}</h2><h2>\frac{-5x^9}{2^2x^{10}}</h2><h2>\frac{-5}{2^2x}</h2>

-\frac{5}{4x}

- hope it helps! -

<h2 />

3 0
2 years ago
Find the unit rate. 21 3/4 meters in 2 1/2 hours
anyanavicka [17]
(21 3/4) / (2 1/2) =
(87/4) / (5/2) =
87/4 * 2/5 =
174/20 reduces to 8 7/10 (or 8.7)meters per hr
6 0
3 years ago
If I have 24 jolly ranchers and 64 starbursts what is the largest amount of bags I can fill? How many starbursts will be I’m eac
Rus_ich [418]

Answer:

Largest amount of bags that can be filled: 11

Starbursts in each bag: 3

Step-by-step explanation:

Find the greastest common factor between these two (which is 8) and divide the sum of the jolly ranchers and starbursts-which will be 88-by the greatest common factor. This will leave you with 11 bags that can be filled with 8 candies. To find the starbursts, divide 24 by 8 (3.)

5 0
3 years ago
WILL GIVE BRAINLIEST find the equation of the axis of symmetry for the parabola y= -x^2-5x
timama [110]

Answer:

The axis of symmetry is -\frac{5}{2}.

  1. Check the degree of your polynomial
  2. Plug your numbers into the axis of symmetry formula
  3. Write down the equation of the axis of symmetry

Please Mark Brainliest If This Helped!

6 0
2 years ago
Which is the correct expansion of (3x + 2y)5?
Kisachek [45]

Answer:

15x +10y

Step-by-step explanation:

Just multiply 5x and 2y times 5 and don't combine them since they are different terms.

5 0
2 years ago
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