D if you take 6/25 = 24/100 then change to a decimal and get 0.24
A(−2, 6) ⇒⇒⇒ <span>A′(1, 6)
</span>B(2, 6) ⇒⇒⇒ <span>B′(5, 6)
</span>C(2, 4) ⇒⇒⇒ <span>C′(5, 4)
</span>D(−2, 4) ⇒⇒⇒ D′(1, 4)
By comparing the coordinates of points and its images we can deduce the rule of the transformation which is :
(x , y ) ⇒⇒⇒ ( x + 3 , y )
So, the <span>rectangle is transformed 3 units to the right.</span>
The equation given in the question is
2x - 3y = 6
Dividing both sides of the equation by 3, we get
2/3 x - y = 2
y = 2/3 x - 2
Then, from the above equation we can tell that the slope of the line in the graph is 2/3. The slope of a line perpendicular to this slope will be - 3/2. The line also contains the points (-2,-3).
Then, the equation of the perpendicular line will be
y = mx + b
- 3 = (- 3/2)(- 2) + b
- 3 = 3 + b
b = - 6
Then
y = (-3/2)x - 6
y + 6 = (- 3/2)x
2y + 12 = - 3x
3x + 2y = - 12
<span>262.68139 is the answer</span>
