Since in A and B we have the same y value, 2-(-5)=7 and that's one side. For A to C (we connect A to C since they are both the ones on the left), we use the distance formula to get sqrt((-5-1)^2+(6-(-2))^2=sqrt(36+64)=sqrt(100)=10. Since there are 2 equal pairs of sides in a parallelogram, we get 7*2+10*2=34
Answer:
1,2,4,5,8,10,20,25,40,50,10,125,200,250,500,1000
Step-by-step explanation:
prime factorization is
1000=2*2*2*5*5*5
Answer:
Total Paperback books = 8x , where x is any positive number
Step-by-step explanation:
Let
The total books are = 13x ; where x is any positive number
As given,
The ratio of hardback books to total books is 5 to 13.
⇒Hardback books =
× Total books
⇒Hardback books =
× 13x = 5x
So, Paperback books = Total books - Hardback books
= 13x - 5x
= 8x
⇒Total Paperback books = 8x
Answer:
686.7 N
Step-by-step explanation:
mass the person is 70 kg , which is constant for the entire universe.Although weight of the person is depends upon the gravity of the planet on which he resides
W= mg
m= mass W= wight and g= Acceleration due to gravity of the planet which 9.81 m/sec^2 on earth.
therefore weight W = 70×9.81 = 686.7 N
Hence the weight of the father will be 686.7 N
Answer:
A (0,3)
Step-by-step explanation:
The given trapezoid has vertices:
(0,6), (7,12), (7,9) and (0,12).
We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.
Note that the mapping for such a dilation is:

This implies that:




Therefore correct choice is (0,3)