Answer:
see explanation
Step-by-step explanation:
the vertices of S under the translation ![\left[\begin{array}{ccc}0\\-3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C-3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
(f+g)(x) = f(x) + g(x)
(f+g)(x) = [ f(x) ] + [ g(x) ]
(f+g)(x) = [ 3x-2 ] + [ 2x+1 ]
(f+g)(x) = (3x+2x) + (-2+1)
(f+g)(x) = 5x - 1
Answer is choice B
Answer:
the slope of A'B' = 3
A'B' passes through point O
Step-by-step explanation:
A dilation with scale factor 3 gives the effect of stretching the line AB three times longer. As dilation does not change the direction of the line, the slope will stay the same. If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'
Answer:
2:1
Step-by-step explanation:
An anyone,
4/6 : 1/3
We are asked to write this as a unit rate hence:
4/6 ÷ 1/3
4/6 × 3/1
= 2/1
= 2:1
Therefore, 4/6 : 1/3 as a unite rate is 2:1
Answer:
1/6
Step-by-step explanation:
There are 36 possible outcomes.
Of those 36, there are 6 that add up to 7:
1+6, 2+5, 3+4, 4+3, 5+2, 6+1
That means there are 30 outcomes that don't add up to 7.
Of those 30 outcomes, there are 5 that add up to 8:
2+6, 3+5, 4+4, 5+3, 6+2
So the probability is 5/30 = 1/6.
