Answer:
Step-by-step explanation:
nth term = a +(n-1)d
a3 = 116 ; a + 2d = 116 ---------(i)
a7 = 180; a + 6d = 180 -------(ii)
multiply (ii) by -1. so a will be eliminated
a + 2d = 116 ---------(i)
(ii)*-1 <u>-a - 6d = -180</u> -------(ii) { Now add the two equations}
- 4d = -64
d = -64/-4
d = 16
Plug in the value of d in equation (i),
a + 2*16 = 116
a + 32 = 116
a = 116 - 32
a = 84
12th term = 84 + 11* 16 = 84 + 176 = 260
Answer: 3234 cubic units
Step-by-step explanation:
Volume of cylinder: πr²h
The diameter of the cylinder is 14 units so the radius is 7 units.
Now we'll substitute.
π = 22/7
h = 21
πr²h
π × 7² × 21
22/7 × 49 × 21 = 3,234
The volume is 3,234 cubic units.
The answer is 59,280 . To find you multiply 40 x 39 x 30 which 59,280
Answer:
vertex (-3,5) and another pt (-2,4)
Step-by-step explanation:
It is in vertex form so the vertex is (-3,5)...
Now just plug in a value for x say like -2...
f(-2)=-(-2+3)^2+5
f(-2)=-(1)^2+5
f(-2)=-1+5
f(-2)=4
So another point is (-2,4)
