Answer:
(a) reduction
(b) 1/2
Step-by-step explanation:
The image figure A'B'C'D' is smaller than the original figure ABCD, so the dilation is a <em>reduction</em>.
Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.
_____
Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.
The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.
Answer:
Step-by-step explanation:
I suspect that you actually meant C = 2π r, the formula for the circumference of a circle.
But if your C=2vpi r is correct, then dividing both sides of this equation by 2v*pi yields the desired equation:
C
r = ---------------
2v*pi
Answer:
Where's the question, please?
To find the x intercept you substitute 0 for y and vice versa (to find y sub 0 for x)
determining x intercept
y = 0
5x-4y=6
5x-4(0)=6
5x=6
--- ---
5 5
x = 6/5 or 1.2
When y is equal to 0, x is 6/5.
(6/5,0) or (1.2,0)
Determining y intercept
x = 0
5x-4y=6
5(0)-4y=6
-4y=6
---- ---
-4 -4
y = 6/-4 or 3/-2 or -1.5
when x is equal to 0, y is 3/-2. (0,3/-2 or 0,-1.5)
