The answer is c less than
Answer:
Image point → (-4, 0)
Step-by-step explanation:
Coordinate of a point → (0, 1)
Rule for the transformation has been given as,
D₄ o R₉₀
First use R₉₀ → Rotation of the point by 90° counterclockwise
Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,
(x, y) → (-y, x)
(0, 1) → (-1, 0)
Further use D₄ → Dilation of the point by a scale factor of 4 about the origin
If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,
(x, y) → (kx, ky)
By applying this rule,
(-1, 0) → (-4, 0)
Therefore, image point will be → (-4, 0)
<u>Option A)</u> when y=6 and w= 2, <u>Option B)</u> when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
The given inequality is w<x<y and x>2.
<u>step 1</u>: let us <u>assume that x=3</u>, since it is given that x>2.
<u>step 2</u>: substitute the value of x=3 and each options in the inequality
<u>step 3</u>: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).
option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).
option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).
option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).
option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).
12/15 = 400/500
500 people took the survey.
1 x 12
2 x 6
3x4
I think that's it. Maybe it's no solution?