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gayaneshka [121]
3 years ago
6

Which figures are polygons? Figure A has 6 sides all made of line segments. figure b is a regular hexagon. it has 6 sides made a

ll of segments. Figure c is shaped iike a long semicircle. the bottom is a segment. The top part is curved. Figure D has 7 sides which are all segments.
Mathematics
2 answers:
Kryger [21]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Naddika [18.5K]3 years ago
4 0
<span>A polygon is a closed figure made by joining line segments, where each line segment intersect exactry two other line segments.

A polygon is said to be a regular polygon if the sides are all of the same length.

Thus, the figures that are polygon are:

</span><span>Figure A which has 6 sides all made of line segments.

Figure B which is a regular hexagon, having 6 sides made all of segments.

</span><span>Figure D has 7 sides which are all segments.</span>
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Determine if each of the following sets is a subspace of Pn, for an appropriate value of n.
snow_tiger [21]

Answer:

1) W₁ is a subspace of Pₙ (R)

2) W₂ is not a subspace of Pₙ (R)

4) W₃ is a subspace of Pₙ (R)

Step-by-step explanation:

Given that;

1.Let W₁ be the set of all polynomials of the form p(t) = at², where a is in R

2.Let W₂ be the set of all polynomials of the form p(t) = t² + a, where a is in R

3.Let W₃ be the set of all polynomials of the form p(t) = at² + at, where a is in R

so

1)

let W₁ = { at² ║ a∈ R }

let ∝ = a₁t² and β = a₂t²  ∈W₁

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t²) + c₂(a₂t²)

= c₁a₁t² + c²a₂t²

= (c₁a₁ + c²a₂)t² ∈ W₁

Therefore c₁∝ + c₂β ∈ W₁ for all ∝, β ∈ W₁  and scalars c₁, c₂

Thus, W₁ is a subspace of Pₙ (R)

2)

let W₂ = { t² + a ║ a∈ R }

the zero polynomial 0t² + 0 ∉ W₂

because the coefficient of t² is 0 but not 1

Thus W₂ is not a subspace of Pₙ (R)

3)

let W₃ = { at² + a ║ a∈ R }

let ∝ = a₁t² +a₁t  and β = a₂t² + a₂t ∈ W₃

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t² +a₁t) + c₂(a₂t² + a₂t)

= c₁a₁t² +c₁a₁t + c₂a₂t² + c₂a₂t

= (c₁a₁ +c₂a₂)t² + (c₁a₁t + c₂a₂)t ∈ W₃

Therefore c₁∝ + c₂β ∈ W₃ for all ∝, β ∈ W₃ and scalars c₁, c₂

Thus, W₃ is a subspace of Pₙ (R)

8 0
3 years ago
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oksano4ka [1.4K]

Answer:

Step-by-step explanation:

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3 years ago
Rachel needs to save $1.015 to buy a new scooter. If she saves $35 each
fiasKO [112]

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

35M = 1015

where M is the number of months that Rachel has saved up money.

Dividing both sides by 35, we get the answer:

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7 0
2 years ago
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Sedbober [7]

the answer is -35/66

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hope you understand now

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Use the given values of n and p to find the minimum usual value μ − 2σ and the
aivan3 [116]
The answer to this question is 39.28; 65.12
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