Answer:
a)Number of terms =15
Value of sum =
(b)Number of terms =6
Value of sum
Step-by-step explanation:
A.
nth term,
a=5, r=
Simce the bases are the same, the powers are equal.
n-1=14
n=14+1=15
Number of terms =
15
Value of sum =
B.
nth term,
a=,
Simce the bases are the same, the powers are equal.
4+n-1=9
n=9+1-4=6
Number of terms =
6
Value of sum
NOTE: For the sum, we desire an expression that gives the exact value, rather than entering an approximation
Answer: A
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Pabp = AB +BP +AP
Papc = AP +PC +CA
So the sum of perimeters of the two smaller triangles is ...
Pabp +Papc = AB +BP +AP + AP +PC +CA
= (AB +BP +PC +CA) +2AP
= Pabc +2AP
Filling in numbers, we have ...
30 +35 = 45 +2AP
20 = 2AP . . . . subtract 45
10 = AP . . . . . . divide by 2
The length of AP is 10 units.
When we do a 90 degree counterclockwise rotation about the origin, a point moves from ( x,y) to ( -y,x)
Using the point with the blue dot
It is originally at (2,-3)
It will move to (3,2)
(1, -4).
A way I've always done it is to just take the rule and simply add the numbers.
The current coordinates of L are (-1, 2).
-1 + 2 is 1, and 2 - 6 is -4. Easy peasy. :)