All categories

2 years ago

Solve by completing the square.

Mathematics

2 answers:

IRINA_888 [86]2 years ago

7 0

Answer:

-23.18, -0.82

Step-by-step explanation:

h² + 24h + 19 = 0
h²+2h*12+12²-125=0
(h+12)²-√125²=0
(h+12+11.18)(h+12-11.18)=0
(h+23.18)(h+0.82)=0
h+23.18=0 ⇒ h= -23.18
h+0.82=0 ⇒ h= -0.82

Colt1911 [192]2 years ago

7 0

Answer:

-23.18, -.82

Step-by-step explanation:

h^2 + 24h + 19 = 0

Subtract 19 from each side

h^2 +24h = -19

Take the coefficient of h

Divide by 2

24/2 =12

Square it

12^2 =144

Add this to both sides

h^2 +24h+144 = -19+144

(h+12)^2 =125

Take the square root of each side

sqrt((h+12)^2) =±sqrt(125)

h+12 = ±sqrt(125)

Subtract 12 from each side

h+12-12 = -12 ±sqrt(125)

h =-12 ±sqrt(125)

h = -12 - sqrt(125) = -23.18033989

h = -12 + sqrt(125) = -.819660113

To the nearest hundredth

-23.18, -.82

You might be interested in

What is the gcf of 30x^2 and 66x^5?

pantera1 [17]

Answer:

$6x^2$

Step-by-step explanation:

Express as product of prime factors.

$30x^2=2\times 3\times 5\times x^2$

$66x^5=2\times 3\times 11\times x^5$

The greatest common factor is the product of the least powers of the common factors.

The GCF is

$2\times 3\times x^2=6x^2$

4 0

3 years ago

PLEASE HELP IM BEING TIMED

Zigmanuir [339]

Step-by-step explanation:

You have miscopied the second equation as it contains a third variable B when there isn't a B in the answers.

Please correct it for assistance

7 0

2 years ago

Which equation would best help solve the following problem?

forsale [732]

Your answer is <span>–4.9t^2 + 15t + 1 = 0

Hope this helps.

</span>

6 0

3 years ago

How many weeks does it take to earn a million dollars if you are paid $30 per hour and work 35 hours a week for 50 weeks a year?

Alik [6]

Answer:

1000

Step-by-step explanation:

3 0

2 years ago

Convert 0.86 into a fraction

balandron [24]

0.86= 86/100 this is because the 6 is in the hundredths place so the denominator is going to be 100<span />

5 0

2 years ago

Read 2 more answers