Answer:
B
Step-by-step explanation:
Answer:
(-1, 7) and (-6, -14) are solutions
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
325 meters in 28 seconds is 11.6 meters per second hope this helps.
9514 1404 393
Answer:
a9 = -8 +9(9 -1)
Step-by-step explanation:
The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . first term a1, common difference d
For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...
an = -8 +9(n -1) . . . . formula for the n-th term
__
Then the formula for the 9th term is ...
a9 = -8 +9(9 -1)
