We have:

and:

so:


It is a finite sum, so it is convergent.
Answer:
A.) (7t³ + 2k^4)(7t³ - 2k^4)
Step-by-step explanation:
Factor the following:
49 t^6 - 4 k^8
49 t^6 - 4 k^8 = (7 t^3)^2 - (2 k^4)^2:
(7 t^3)^2 - (2 k^4)^2
Factor the difference of two squares. (7 t^3)^2 - (2 k^4)^2 = (7 t^3 - 2 k^4) (7 t^3 + 2 k^4):
Answer: (7 t^3 - 2 k^4) (7 t^3 + 2 k^4)
(-1,-2) and (-1,4)
so these have same x values, but different y values, so these are on differnt sidef of circle
distanc between them is 6
6/2=3
radius=3
so move 3 units up from (-1,-2)
(-1,1)
so
if center is (h,k) and radius is r then
(x-h)^2+(y-k)^2=r^2
(-1,1) is center and r=3
(x-(-1))^2+(y-1)^2=3^2
(x+1)^2+(y-1)^2=9
84/60=1.4
210/1.4=150
The answer is 150 cm
Answer:
see below
Step-by-step explanation:
We can determine how much 12 ounces cost by using ratios
5 ounces 12 ounces
-------------- = -------------------
2.35 x
Using cross products
5x = 12*2.35
5x = 28.2
Divide each side by 5
5x/5 = 28.2/5
x =5.64
If she has 10 dollars
5 ounces y ounces
-------------- = -------------------
2.35 10
5*10 = 2.35y
50 = 2.35y
Divide each side by 2.35
50/2.35 = 2.35y/2.35
21.27659574 =y
She can buy 21.3 ounces