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AURORKA [14]
3 years ago
8

Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16).

Mathematics
2 answers:
tester [92]3 years ago
7 0

Answer:

The answer is -10

Step-by-step explanation:


Amanda [17]3 years ago
4 0
Since you subtract 16 from the y value, P is (-2, 6), and the y value comes second (meaning that it's 6), we get 6-16=-10
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G is the centroid of triangle ABC.
AleksAgata [21]

Answer:

  • x = 37
  • DG = 22
  • AG = 44
  • AD = 66

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

  (x+7) = 2(x -15)

  x + 7 = 2x - 30 . . . . eliminate parentheses

  37 = x  . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Of course, AD = AG +GD = 44 +22 = 66

7 0
3 years ago
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The coordinates of A, B, and C in the diagram are A (p, 4), B (6, 1 ), and C (9, q). Which equation correctly relates p and q? ↔
aivan3 [116]

Answer:

  D.  p + q = 7

Step-by-step explanation:

The slope of AB is ...

  mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)

The slope of BC is ...

  mBC = (q -1)/(9 -6) = (q -1)/3

We want the product of these slopes to be -1:

  mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)

  -(q-1)/(6 -p) = -1 . . . . cancel factors of 3

  q -1 = 6 -p . . . . . multiply by -(6 -p)

  q + p = 7 . . . . . matches choice D

8 0
3 years ago
george completed 3/5th of work in 9 days with the help of paul he completes remaining work in 4 days.In how many days paul alone
IRINA_888 [86]
If George completed 3/5 of work in 9 days, it means that he needs 3 days to finish 1/5th of the work.

The remaining part is 2/5 because 1-3/5=2/5. 2/5 is also 6/15

From this, how much did George do? in the first 3 days he did 1/5th and then one more day was left, during which he did 1/5/3=1/15th.

So he did in total 1/15+1/5=1/15+3/15=4/15.
this means that Paul did the rest of 6/15, so Paul did 6/15-4/15=2/15.

So we know that he does 2/15 in 4 days, which means that every two days he can do 1/15 of the work

so he would need 15 times 2 days to finish the work - 30 days!
6 0
3 years ago
Mr. Cromleigh and his mom stayed at a hotel while in Vegas. If the room was 12ft by 8ft by 9ft, what is the volume of the room?
Komok [63]

Answer:

864 ft³

Step-by-step explanation:

Volume = Length * Width * Height

Substitute

Volume = 12 * 8 * 9

Volume = 864 ft³

Hope this helps :)

7 0
3 years ago
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Mr West has a picture that is 4 inches wide and 7
Pepsi [2]

Answer:

Step-by-step explanation:

The ratio of new length 7 to the initial length 19 is 2.7

Therefore new width will be 2.7×4 which will be 10.9 or about 11 inches

6 0
3 years ago
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