+0

# Calculate the distance between the points (1,5) and (2,-3). Round your answer to the nearest tenth.

0
79
8

Calculate the distance between the points (1,5) and (2,-3). Round your answer to the nearest tenth.

A. 8.3

B. 65.0

C. 31.4

D. 8.1

The pre-image of triangle ABC is rotated 90 degrees to image A’B’C’ about the origin. If point B is located at (-1,4), then name the coordinates of B’.

A. (-2,1)

B. (-1,-2)

C. (4,1)

D. (1,2)

The pre-image of triangle ABC is rotated 90 degrees to image A’B’C’ about the origin. If point C is located at (-3,4), then name the coordinates of C’.

A. (6,1)

B. (4,3)

C. (-1,-2)

D. (1,2)

What would be the coordinates of the image of (10,-4) rotated clockwise about the origin through a 90-degree angle?

A. (1, 2)

B. (6,1)

C. (-4, -10)

D. (-2,1)

Mar 9, 2020
edited by macabresubwoofer  Mar 9, 2020

#1
+1

D  =   sqrt  [ difference  in x coordinates ^2  +  difference in y coordinates^2 ]

So

D   =  sqrt   [( 1 - 2)^2  +  ( -3 - 5)^2 ]   =   sqrt [ (-1)^2  + (-8)^2  ]

I leave you to calculate  this.....I'll check your answer  if you want   Mar 9, 2020
#2
0

IS IT D ? also could you check the questions i asked earlier and i just posted

macabresubwoofer  Mar 9, 2020
#4
+1

Not D

square ( - 1  )

square (-8 )

Take the sqrt  of the result   CPhill  Mar 9, 2020
#6
0

it is -9

macabresubwoofer  Mar 10, 2020
#7
0

It's 65

The closest to B

macabresubwoofer  Mar 10, 2020
edited by macabresubwoofer  Mar 10, 2020
#8
+2

CORRECT   !!!   CPhill  Mar 10, 2020
#3
+3

The rule  for a 90° clockwise rotation  is

(x, y)  ⇒  (y ,- x)

In other words .....  the original  y  becomes the new x  and  the the original x  becomes  the new y with a sign change

So

(10, - 4) ⇒  ( -4, -10)   Mar 9, 2020
#5
+2

The pre-image of triangle ABC is rotated 90 degrees to image A’B’C’ about the origin. If point B is located at (-1,4), then name the coordinates of B’.

See  the  other  question  for  a  90°  rotation (clockwise  ??? )

If  clockwise....we  have

(-1, 4)  ⇒  ( 4, 1)

The pre-image of triangle ABC is rotated 90 degrees to image A’B’C’ about the origin. If point C is located at (-3,4), then name the coordinates of C’.

(-3, 4) ⇒  (4  ,3)   Mar 9, 2020