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german
3 years ago
10

The distance d, in meters, that a wolf runs in s seconds is represented by the equation d = 15s. What is the constant of proport

ionality (unit rate) of d to s
Mathematics
2 answers:
konstantin123 [22]3 years ago
8 0

Answer:

d/s = 15

Step-by-step explanation:

To find the constant of proportionality (unit rate) of d to s, we just need to use the equation d = 15s and divide the two sides of the equation by s, so we will have:

d = 15s

d/s = 15s/s

d/s = 15

So this is the value of the constant, and what is means is the velocity of the wolf: the amount of distance it will travel for each second.

If the constant is equal to 15 meters per second, it means that for each second the wolf travels using this constant, it will travel 15 meters.

irina1246 [14]3 years ago
6 0

Answer:

The constant of proportionality is 15.

Step-by-step explanation:

The constant of proportionality is the number at wich the two variables relate. In this case for every second running the wolf will travel a distance of 15 m, this means that if two seconds have passed the wolf will have travelled a distance of 30m and so on. So we can assume that the constant for this question is 15.

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2 years ago
In circle A, ∠BAE ≅ ∠DAE. What is the length of BE? 14 units 17 units 27 units 34 units
zhannawk [14.2K]

Answer:

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

∠BAE ≅ ∠DAE

Line segments A B, A E, and A D are radii

Lines are drawn from point B to point E and from point E to point D to form secants B E and E D

The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

  including angles between them are equal, then the two

  triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

∴ 2 x = 34

- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

∵ BE = 3 x - 24

∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

3 0
3 years ago
Read 2 more answers
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