A + ar = b + r
a(1 + r) = b + r
a = (b + r) / (1 + r)
Its c
Answer:
a) k = 5; (-10, -35)
Step-by-step explanation:
Given:
Co-ordinates:
Pre-Image = (-12,3)
After dilation
Image = (-60,15)
The dilation about the origin can be given as :
Pre-Image
where
represents the scalar factor.
We can find value of
for the given co-ordinates by finding the ratio of
or
co-ordinates of the image and pre-image.

For the given co-ordinates.
Pre-Image = (-12,3)
Image = (-60,15)
The value of 
or 
As we get
for both ratios i.e of
and
co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.
To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.
Pre-Image
Image
Pre-Image
Image
(Answer)
1/2 = 0.5
Proof:
1/4 + 1/4 = 2/4 = 1/2 = 0.25 + 0.25 = 0.50
Answer:
b). 16.
Step-by-step explanation:
x^2 = 4
We can write this as
x^2 + 0x - 4 = 0
The discriminant (b^2 - 4ac) =
0^2 - 4 * 1* -4
= 16.