Let
The origin of coordinates the tree
r1 = vector position of the child 1.
r2 = vector position of the child 2
Child 1:
r1 = (12i + 12j)
Child 2:
r2 = (-18i + 11j)
The scalar product will be given by:
r1.r2 = ((12) * (- 18)) + ((12) * (11)) = - 84
The scalar product of their net displacements from the tree is -84m ^ 2
Answer:
<em>Answer: D</em>
Step-by-step explanation:
<u>Arithmetic Sequences
</u>
The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
![a_n=a_1+(n-1)r](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29r)
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the arithmetic sequence:
10, 12, 14, 16, ...
Where a1=10 and
r = 12 - 10 = 2
Thus the general term is:
![a_n=10+(n-1)2](https://tex.z-dn.net/?f=a_n%3D10%2B%28n-1%292)
Operating:
![a_n=10+2n-2](https://tex.z-dn.net/?f=a_n%3D10%2B2n-2)
![a_n=8+2n](https://tex.z-dn.net/?f=a_n%3D8%2B2n)
Answer: D
Answer: -2(10xy+4y-13)
Step-by-step explanation: Factor the polnomial.
Hope this helps you out.
Do you mean how many different words can be made from using only 3 letters from the word "question"? Are they supposed to be the same 3 letters?
ton, son, not, sue, sit
Answer:
A
Step-by-step explanation:
To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is
A
y = (
)² =
≠
← not on line
B
y = (- 1)² = 1 ← lies on line
C
y = 4² = 16 ← lies on line
D
y = (
)² =
← lies on line