9514 1404 393
Answer:
54 = 2 × 3³
36 = 2² × 3²
Step-by-step explanation:
The term "factors" can mean different things in this context. Usually, it means "prime factors." Exponents are used to indicate the number of times a factor is repeated. The prime factors of these numbers are ...
54 = 2 × 3³
36 = 2² × 3²
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Sometimes, we use the word "factors" to mean "positive integer divisors." The number of divisors is the product of the exponents of the prime factors, each increased by 1. That is, 54 has (2·4) = 8 divisors; 36 has (3·3) = 9 divisors. The odd number of divisors is one indication that the number is a perfect square.
The divisors of these numbers are ...
54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54
36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36
9 7/10 divided by 3/5 =
97/10 divided by 3/5 =
97/10 * 5/3 =
97/6 = 16 1/6
Answer:
I think its b
Step-by-step explanation:
because 4×4 is 16
Answer:
New image will have (2,1) , (-2,0) and (-2,-2) as new vertex.
Below is the graph.
Step-by-step explanation:
Given the triangle with points (4,7) , (-8,4) and (-8,-2) having dilation center at (1,-2) .
We have to dilate using a factor of 1/3 and graph the new image.
Let us find all the three points,
Formula,
New point = [old point - dilation center]* scale factor + dilation center
So,
For (4,7)
![[(4,7)- (1,-2)]*\frac{1}{3} + (1,-2)](https://tex.z-dn.net/?f=%5B%284%2C7%29-%20%281%2C-2%29%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%20%281%2C-2%29)
![[3,9]*\frac{1}{3} +(1,-2)](https://tex.z-dn.net/?f=%5B3%2C9%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%281%2C-2%29)
![[1,3]+(1,-2)= (2,1)](https://tex.z-dn.net/?f=%5B1%2C3%5D%2B%281%2C-2%29%3D%20%282%2C1%29)
For (-8,4)
![[(-8,4)- (1,-2)]*\frac{1}{3} + (1,-2)](https://tex.z-dn.net/?f=%5B%28-8%2C4%29-%20%281%2C-2%29%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%20%281%2C-2%29)
![[-9,6]*\frac{1}{3} +(1,-2)](https://tex.z-dn.net/?f=%5B-9%2C6%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%281%2C-2%29)
![[-3,2]+(1,-2)= (-2,0)](https://tex.z-dn.net/?f=%5B-3%2C2%5D%2B%281%2C-2%29%3D%20%28-2%2C0%29)
For (-8,-2)
![[(-8,-2)- (1,-2)]*\frac{1}{3} + (1,-2)](https://tex.z-dn.net/?f=%5B%28-8%2C-2%29-%20%281%2C-2%29%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%20%281%2C-2%29)
![[-9,0]*\frac{1}{3} +(1,-2)](https://tex.z-dn.net/?f=%5B-9%2C0%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%281%2C-2%29)
![[-3,0]+(1,-2)= (-2,-2)](https://tex.z-dn.net/?f=%5B-3%2C0%5D%2B%281%2C-2%29%3D%20%28-2%2C-2%29)
Therefore these (2,1) , (-2,0) and (-2,-2) are the new vertices after dilation.
