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3 years ago

In which geometry is there no line parallel to a given line through a point not on the line?

Mathematics

2 answers:

Nonamiya [84]3 years ago

6 0

Answer:

no parallel lines can be drawn

Step-by-step explanation:

tangare [24]3 years ago

4 0

Answer:

Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.

Step-by-step explanation:

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Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region boun

Blababa [14]

Answer:

$a)\: \frac{3}{2} \pi$

$b) \:\frac{47}{5} \pi$

Step-by-step explanation:

$y=3\sqrt x,\:\:y=3,\:\:x=0$

a) about the line y = 3

$3\sqrt x=3$ ⇒ $x = 1$ is the intersection point

So,

$V=\int\limits^1_0\pi(3-3\sqrt x)^2\:dx=\pi\int\limits^1_0(9-18\sqrt x+9x)\:dx=\\\\=\pi(9x-12x^{3/2}+9/2x^2)|^1_0=\pi(9-12+9/2)=\frac{3}{2} \pi$

b) about the line x = 5

$y=3\sqrt x$ ⇒ $x=y^2/9$

So,

$V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi$

8 0

4 years ago

ASAP!!! help its emergent

Bezzdna [24]

Answer:

Step-by-step explanation:

F(x)=(5 t^2+t )x to x+3

=5((x+3)^2-x^2)+(x+3-x)

=5(x^2+6x+9-x^2)+3

=5 (6x+9)+3

=30x+48

F'(x)=30

3 0

3 years ago

Need help please and thank you

kicyunya [14]

The answer to your problem is B. It’s showing how many ants there are to start and X represents the weeks witch the ants are multiplied every week.

3 0

3 years ago

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There are 14 boys and 6 girls in Emily’s class. One student in Emily’s class is chosen each day to hand out calculators to all t

kramer

Same girl can be chosen for both jobs, is the probability with replacement. Multiply the individual probabilities.

(6/20) * (6/20) = 9/100

5 0

3 years ago

Solve using your choice of graphing, substitution, or elimination

antiseptic1488 [7]

Answer:

x = 110, y = 153.

Step-by-step explanation:

4x - 3y = -19 Multiply by 2

3x - 2y= 24 Multiply by 3.

8x - 6y = -38

9x - 6y = 72 SUBTRACT

-x = - 110

x = 110

Substitute for x :

3(110) - 2y = 24

2y =330 - 24

2y = 306

y = 153.

3 0

3 years ago