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DENIUS [597]
3 years ago
7

The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.

Mathematics
2 answers:
Svetlanka [38]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

<u>As per the first row of proportional relationship, the proportion is:</u>

  • y = kx
  • 28 = k*20
  • k = 28/20 = 1.4

<u>The function is therefore:</u>

  • y = 1.4x

a) Table is filled in below:

<u>distance (cm)             |         weight (newtons)</u>

20                               |         28

55                               |         55*1.4 = 77

140/1.4 = 100              |          140

1                                  |           1*1.4 = 1.4

---------------------------------------------------------------

b)  The scale should consider the coefficient 1.4, therefore x- axis will have a scale of 100 with intervals of 1 cm and y- axis will have a scale of 140 with intervals of 1.4 newtons

Ira Lisetskai [31]3 years ago
3 0

Answer:

55= 39 2/7

Step-by-step explanation:

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Jordan wants to prove △PQR≅△STU using a sequence of rigid motions. This is Jordan's proof. Translate △PQR to get △P'Q'R' with R'
aleksandr82 [10.1K]

Answer:

A. △P'Q'R' does not equal △P''Q''R''.

B. Reflecting across UT would change the orientation of the figure.

C. The sequence does not include a reflection that exchanges U and S.

D. Rotating about point U is not a rigid motion because it changes the orientation of the figure.

E. Translating point R' to Q' is a non-invertible transformation because it changes the location of P'.

(D) Rotating about U is not a rigid motion because it changes the orientation of the figure. [I think D is an incorrect answer choice.]

Step-by-step explanation:

Proof No.1

Jordan wants to prove △PQR≅△STU using a sequence of rigid motions. This is Jordan's proof. Translate △PQR to get △P'Q'R' with R'=U. Then rotate △P'Q'R' about point U to get △P''Q''R''. Since translation and rotation preserve distance, R''Q''=RQ=UT, and Q''=T. Reflect △P''Q''R'' across UT to get △P'''Q'''R''. Since reflection preserves distance, P'''R'''=PR=US, and P'''=S. A sequence of rigid motions maps △PQR onto △STU, so △PQR≅△STU.

Proof No.2

Jordan wants to prove △PQR≅△STU using a sequence of rigid motions. This is Jordan's proof. Translate △PQR to get △P'Q'R' with R'=U. Then rotate △P'Q'R about point U to get △P''Q''R'' so that R''Q'' and UT coincide. Since translation and rotation preserve distance, R''Q''=RQ=UT, and Q''=T. Reflect △P''Q''R'' across UT to get △P'''Q'''R''. Since reflection preserves distance, P'''R'''=PR=US, and P'''=S. A sequence of rigid motions maps △PQR onto △STU, so △PQR≅△STU.

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Step-by-step explanation:

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