2 years ago

What does it mean to be a Rigid Motion? Name 3 Rigid Motions that we discussed in Semester A:

1 answer:

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Answer:

A Rigid Motion is a transformation that preserves length (distance preserving) and angle measure (angle preserving). Another name for a rigid motion is an isometry. A direct isometry preserves distance and orientation. Translations and Rotations are direct isometries.

Step-by-step explanation:

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Subtract 2x^2-3xy+4y^2 from 3x^2-5xy-6y^2

Diano4ka-milaya [45]

Answer:

$-x^{2} +2xy+10y^{2}$

Step-by-step explanation:

$2x^2-3xy+4y^2-(3x^2-5xy-6y^2)\\2x^2-3xy+4y^2-3x^2+5xy+6y^2\\-x^{2} +2xy+10y^{2}$

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2 years ago

The area of a rectangle is 14 square units it has side lengths a and b

Travka [436]

The sides could be 1,14 or 2,7

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3 years ago

1)cot a/2 -tan a/2 = 2 cot a<br>2) cot b/2 + tan b/2= 2 cosec b<br> prove

VladimirAG [237]

1)

LHS = cot(a/2) - tan(a/2)

= (1 - tan^2(a/2))/tan(a/2)

= (2-sec^2(a/2))/tan(a/2)

= 2cot(a/2) - cosec(a/2)sec(a/2)

= 2(1+cos(a))/sin(a) - 1/(cos(a/2)sin(a/2))

= 2 (1+cos(a))/sin(a) - 2/sin(a)) (product to sums)

= 2[(1+cos(a) -1)/sin(a)]

=2cot a

= RHS

2.

LHS = cot(b/2) + tan(b/2)

= [1 + tan^2(b/2)]/tan(b/2)

= sec^2(b/2)/tan(b/2)

= 1/sin(b/2)cos(b/2)

using product to sums

= 2/sin(b)

= 2cosec(b)

= RHS

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2 years ago

What is the perimeter of a triangle measuring 3 on each side?

ANTONII [103]

Add them all up.
A triangle has 3 sides, and you said each side is 3. So:
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2 years ago

Read 2 more answers

What is 321 over 100 in simplest form?

STatiana [176]

321 / 100 = 3.21 as you are dividing by 10, and then 10 again

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