Discriminant of 9x^2+12x+4=0

Answers

Answer 1

Answer: $the\ discriminant\ of\ ax^2+bx+c=0:\ \ \ \ \Delta=b^2-4\cdot b\cdot c \n---------------------------\n9x^2+12x+4=0\ \ \ \Rightarrow\ \ \ \Delta=12^2-4\cdot9\cdot4=144-144=0\n\n\Delta=0\ \ \ \Rightarrow\ \ \ x_0=- (b)/(2a) =- (12)/(2\cdot9) =- (2\cdot2\cdot3)/(2\cdot3\cdot3)= - (2)/(3) \n\nAns.\ The\ discriminant\ is\ \Delta=0$

Answer 2

Answer: $9x^2+12x+4=0\n\n(3x)^2+2\cdot3x\cdot2+2^2=0\n\n(3x+2)^2=0\iff3x+2=0\n\n3x=-2\ \ \ /:3\n\nx=-(2)/(3)\n\n-------------------------------\n\n(a+b)^2=a^2+2ab+b^2$

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What is the period and frequency of a 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope?

Answers

The mass of the pendulum does not affect the period and frequency
The period can be determined using the formula:
T = 2π √(L/g)

where L is the length of the rope
and g is the acceleration due to gravity = 9.8 m/s2

Plugging in the values:
T = 2π √(5/9.8)
T = 10π/7 = 4.49 s

And for the frequency:
f = 1/T
f = 1/4.49
f = 0.22 Hz

Answer:

Period = 4.5 seconds

Frequency = 0.22 hertz.

Step-by-step explanation:

Given : 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope.

To find : What is the period and frequency.

Solution :

The formula to find time when length is given,

$T=2\pi\sqrt{(L)/(g)}$

where,T is the time period , L is the length and g is the acceleration due to gravity

L= 5 m and g=9.8 m/s

Substitute in the formula,

$T=2\pi\sqrt{(5)/(9.8)}$

$T=2\pi√(0.510)$

$T=2* 3.14* 0.714$

$T=4.483$

The time period is approx 4.5 seconds.

$\text{Frequency}=\frac{1}{\text{Period}}$

$\text{Frequency}=(1)/(4.5)$

$\text{Frequency}=0.22\text{hertz}$

Therefore,Period = 4.5 seconds

Frequency is 0.22 hertz.

An airliner travels 15 miles in 2 minutes.what is its speed in miles per hour

Answers

(15 miles / 2 minutes) times (60 minutes / 1 hour) = 15 x 60 / 2 = 450 miles per hour.

Remember:

1 mile per minute = 60 miles per hour

So:

$(15 \ miles)/(2 \ min)=(15)/(2)*60=450 \ miles \ per \ hour$

you are drawing a map. two cities on the map are 7 inches apart. you know the actual distance between them is 1,750 miles. what is the scale factor for the map.

Answers

Hello betzy166817!

The correct answer is: 250 miles per inch.

You can multiply the number of inches on the map by 250 to find the number of miles.

#LearnWithBrainly

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The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?A. 7x – 15
B. 10x – 15
C. 10x – 8
D. 7x – 8

Answers

The area of a rectangle is the product of its length and its width. It is expressed as:

Area = l x w

We use this equation, to solve this problem.

Area = l x w
Area = (2x – 3) x 5
Area = 10x - 15

Therefore, the correct answer is option B.

5(2x - 3)

5 * 2x = 10x
5 * -3 = - 15

10x - 15

(3-i)+(1-2i) =
O 4 - 3i
O 4 +3i
O 4+i

Answers

Answer:

4+i

Step-by-step explanation:

Answer:

Step-by-step explanation:

Evaluate if x=13.2 and y=4.3 -x-2y

Answers

Lets substitute for each variable, then solve:-

x = 13.2
y = 4.3

x = 13.2
-13.2 - 2y

y = 4.3
-x - 2 · 4.3

Lets solve:-

-13.2 - 2 × 4.3
-13.2 - (2 × 4.3)
-13.2 - 8.6
-21.8

So, when x = 13.2 and y = 4.3, -x - 2y = -21.8

Hope I helped ya!! xD

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