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Dafna1 [17]
3 years ago
8

What number must you add to complete the square x^2+2x=9

Mathematics
2 answers:
MAVERICK [17]3 years ago
5 0

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x = 9

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1² = 9 + 1²

(x + 1)² = 10

yaroslaw [1]3 years ago
3 0

Answer:x =(-2-√-32)/-2=1+2i√ 2 = 1.0000-2.8284i

x =(-2+√-32)/-2=1-2i√ 2 = 1.0000+2.8284

Step-by-step explanation:

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lara31 [8.8K]

Answer: 12

Step-by-step explanation:

Area of trinagle = b * h /2

8*3= 24/2= 12

7 0
3 years ago
4x+100 6x+216 find x
Lemur [1.5K]

Answer:

4x=100+6x=216=

Step-by-step explanation:

100+216=316 and 4x+6x= 10

316/10 = 31.6

6 0
3 years ago
Find the missing measure <br><br><br> ; Help me understand how to solve this.
blsea [12.9K]
Use Soh Cah Toa. Soh(sin) is the Opposite side divided by the Hypotenuse side so in this case 21/20. Since we need the angle here we would use the inverse of sin. Your equation is Sin(x)=Opposite/Hypotenuse=21/20=1.05
Now solve sin(x)=1.05
Re-arange into
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8 0
3 years ago
I cant figure out the answer pls explain
Kazeer [188]
0.3(x - 2y) + 0.5x - y
0.3x - 0.6y + 0.5x - y
(0.3x + 0.5x) + (-0.6y - y)
0.8x + 1.6y
This means the answer is B.
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6 0
3 years ago
In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
3 years ago
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