Answer:
D. Segment YZ is located at Y(0,1) and Z(−2,1) and is one-third the size of segment Y'Z'
Step-by-step explanation:
When you dilate a point by a factor of x from the origin, you multiply its coordinates by the same factor.
Thus, if the coordinates of the original point are (1,2) and the scale factor is 3, those of its image are (3,6).
If Y'Z' has endpoints at Y'(0,3) and Z'(-6,3) and was dilated by a factor of 3, the coordinates of the endpoints of the pre-image were ⅓ those of the image.
The figure below shows the segments YZ and Y'Z'.
Answer:
60th caller.
the 12th caller would hit a number divisible by 20 at 60.
12,24,35,48,60
D because it does not have shaded, it’s not shaded so it does not include 2, and 3 and up people need to join the club still for it to be official
Start by setting up a factor tree for each number.
Factor in anyway that you'd like.
At the end, circle all prime numbers.
Remember, prime numbers are numbers
with only 2 factors, 1 and the number itself.
Now write these factors in least to greatest
multiplying them separate rows.
Circle factors they have in common.
Since 3 pairs of two's match up, multiply by 2 three times to get 8.
So the GCF is 8.
Answer:
x = 10
Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)
Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)
This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions
Hope this helps :)
