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2 years ago

15

What line forms when a plane and a cylinder intersect?

2 answers:

Bad White [126]2 years ago

7 0

Answer:

C. Curved line

Explanation:

if this is for pennfoster.. this is your answer. "where the plane intersects the sphere in this figure, a curved line forms" <--- straight from the reading section

jek_recluse [69]2 years ago

4 0

Hello!!

Parallel lines form when a plane and a cylinder intersects.

Many angles are also produces. And then, the produced angles will together form certain pairs of corresponding angles.

Good luck :)

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Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(–2, 0);

UNO [17]

The line is called the directrix. Here we have a vertical directrix, so a parabola sideways from usual.

Geometry is best done with squared distances. The squared distance from an arbitrary point (x,y) to the vertical line x=2 is $(x-2)^2.$

We equate that to the squared distance of (x,y) to the focus (-2,0):

$(x-2)^2 = (x - -2)^2 + (y - 0)^2$

$x^2 -4x + 4=x^2 +4x +4 + y^2$

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2 years ago

In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,

aivan3 [116]

Answer:

Case 1:

$AB = 30$

$BC = 50$

Case 2:

$AB = 15.9$

$BC = 36.7$

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

$AB^2 = AN^2 + BN^2$

This gives:

$AB^2 = 24^2 + 18^2$

$AB^2 = 576 + 324$

$AB^2 = 900$

Take square roots of both sides

$AB = \sqrt{900$

$AB = 30$

To calculate BC, we consider ANC, where:

$AC^2 = AN^2 + NC^2$

$40^2 = 24^2 + NC^2$

$1600 = 576 + NC^2$

Collect like terms

$NC^2 = 1600 - 576$

$NC^2 = 1024$

Take square roots

$NC = \sqrt{1024$

$NC = 32$

So:

$BC = NC + BN$

$BC = 32 + 18$

$BC = 50$

Case 2:

Using Pythagoras theorem in ANB, we have:

$AN^2 = AB^2 + BN^2$

This gives:

$24^2 = AB^2 + 18^2$

$576 = AB^2 + 324$

Collect like terms

$AB^2 = 576 - 324$

$AB^2 = 252$

Take square roots of both sides

$AB = \sqrt{252$

$AB = 15.9$

To calculate BC, we consider ABC, where:

$AC^2 = AB^2 + BC^2$

$40^2 = 252 + BC^2$

$1600 = 252 + BC^2$

Collect like terms

$BC^2 = 1600 - 252$

$BC^2 = 1348$

Take square roots

$BC = \sqrt{1348$

$BC = 36.7$

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

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