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2 years ago

According to Euclid’s second postulate, how far can the line segment shown be extended in either direction?

Mathematics

2 answers:

Vilka [71]2 years ago

8 0

Answer:

b. not at all

Step-by-step explanation:

• a line goes on forevee in every direction

• a ray continues forever in one direction only

• a segment has a set length and will not extend

PilotLPTM [1.2K]2 years ago

6 0

Answer:

the answer is B. not at all

Step-by-step explanation:

i took on the test... it looked by the same!

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A group of three friends cycle from Llanfyllin to Vyrnwy at 12 km/h.

garik1379 [7]

The average speed for the journey from Llanfyllin to Bala is 14 km/h

Average speed is the ratio of total distance travelled to total time taken. Also, average speed can be given as the average of the different speeds.

Let d₁ represent the distance from Llanfyllin to Vyrnwy and t represent the time taken, since the speed is 12 km/h, hence:

12 = d₁/t

d₁ = 12t

Let d₂ represent the distance from Vyrnwy to bala and t represent the time taken. Since they spent the same time, since the speed is 16 km/h, hence:

16 = d₂/t

d₂ = 16t

Average speed = total distance/total time

Average speed = (d₁ + d₂) / (t + t)

Average speed = (12t + 16t) / 2t

Average speed = 28t / 2t

Average speed = 14 km/h

Hence their average speed for the journey from Llanfyllin to Bala is 14 km/h.

Find out more at: brainly.com/question/23774048

6 0

1 year ago

The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section

LUCKY_DIMON [66]

Answer:

y2 = C1xe^(4x)

Step-by-step explanation:

Given that y1 = e^(4x) is a solution to the differential equation

y'' - 8y' + 16y = 0

We want to find the second solution y2 of the equation using the method of reduction of order.

Let

y2 = uy1

Because y2 is a solution to the differential equation, it satisfies

y2'' - 8y2' + 16y2 = 0

y2 = ue^(4x)

y2' = u'e^(4x) + 4ue^(4x)

y2'' = u''e^(4x) + 4u'e^(4x) + 4u'e^(4x) + 16ue^(4x)

= u''e^(4x) + 8u'e^(4x) + 16ue^(4x)

Using these,

y2'' - 8y2' + 16y2 =

[u''e^(4x) + 8u'e^(4x) + 16ue^(4x)] - 8[u'e^(4x) + 4ue^(4x)] + 16ue^(4x) = 0

u''e^(4x) = 0

Let w = u', then w' = u''

w'e^(4x) = 0

w' = 0

Integrating this, we have

w = C1

But w = u'

u' = C1

Integrating again, we have

u = C1x

But y2 = ue^(4x)

y2 = C1xe^(4x)

And this is the second solution

5 0

2 years ago

Solve the following linear program using the graphical solution procedure: Max 5A + 5B s.t. 1A lessthanorequalto 100 1B lessthan

earnstyle [38]

<h2>Answer:</h2>

The optimal solution to the given linear programming problem exist at (100,50)

and the optimal solution is: 5A+5B= 750

<h2>Step-by-step explanation:</h2>

We are given a system of linear programming problem as follows:

Max 5A + 5B

s.t. A ≤ 100---------------(1)

B ≤ 80-------------(2)

2A+4B ≤400-------------(3)

which is given by:

A+2B ≤ 200

and A,B≥0

This means that the solution to this LPP will lie in the first quadrant.

( Since, both the variables A and B are greater than or equal to zero)

Now, we consider that A is represented by the x axis and B by y-axis.

We know that the optimal solution always exist at the boundary point.

Hence, by plotting these inequalities in the graph we get the boundary points as:

(0,0) , (0,80) , (100,0) , (100,50) and (40,80)

Now, we will check at which boundary point the optimal function is maximized .

Point Value of optimal function( 5A+5B)

(0,0) 0

(0,80) 400

(100,0) 500

(100,50) 750

(40,80) 600

The maximum value is obtained at (100,50).

and the value of the optimal solution is: 750

5 0

2 years ago

A state becomes good if its people are good justify this statement

nadezda [96]

Step-by-step explanation:

Yes, the statement is true "A state becomes good if its people are good". Government is one of the most important body for the good future of any country. The difference between a good and bad country occurs due to its government and governance. Similarly, citizens plays a vital role for the difference between good and bad state. The literacy rate of a state should be high for the sake of becoming good state. A state becomes good if its people are good, as they are representative of the state.

5 0

1 year ago

Read 2 more answers

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

wolverine [178]

<u>ANSWER</u>

$9\: < x \leqslant0$