80 kilometers is equal to 80,000 meters. This is greater than 1000 meters.
The transformations that would prove that circles A and C are similar are:
- A. Reflect A over the line y=x
- C. Dilate A by 3/2
<h3>How to prove that circle A and circle C are similar?</h3>
The circles are given as:
Circle A and B
Assume the following parameters:
- The center of circle A is (2,3) with a radius of 2
- The center of circle B is (3,2) with a radius of 3
To start with;
The circle A must be reflected across the line y = x with the following transformation rule:
(x,y) -> (y,x)
So, we have:
(2,3) -> (3,2)
Next, the radius of A must be dilated by 3/2 as follows:
New Radius = 3/2 * 2 = 3
After the transformations, we have the following parameters:
- The center of circle A is (3,2) with a radius of 3
- The center of circle B is (3,2) with a radius of 3
Notice that both circles now have the same center and radius.
Hence, both circles are similar
Read more about similar circles at:
brainly.com/question/9177979
Ok, you're dealing with a 1 dimensional number line.
To find the distance between these two points what you want to do is go from -3428 to 0, then from 0 to 286.
The distance between -3428 and 0 is 3428. The distance from 0 to 286 is 286.
Add up both these differences:
3428 + 286 = 3714
So the answer is in fact D, 3714.
Answer:
The numbers are 6 and 4
Step-by-step explanation:
Let x = integer
The second is x-2
Product of x*(x-2) is 24
x(x-2) = 24
Distribute
x^2 -2x =24
Subtract 24 from each side
x^2 -2x -24 =24-24
x^2 -2x-24 =0
Factor
What two number multiply together to give 24 and add to -2
-6*4= -24
-6+4 = -2
(x-6) (x+4) =0
Using the zero product property
x-6 =0 x+4 = 0
x=6 x=-4
The question states the number is positive
x=6
The second number is x-2 = 4
The numbers are 6 and 4
Answer:
225
Step-by-step explanation:
Mary = 3x (3 times Carey)
Carey = x
Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)
3x + x + x/2 = 405
4x + x/2 = 405
8x/2 + x/2 (treat these as fractions) = 405
9x/2 = 405
9x = 810 (cross multiply)
x = 90
Mary = 3(90) 270
Carey = 90
Barry = 90/2 45
Mary - Barry
270 - 45 = 225
Hope this helps! :)
