The slope is 6 because x/y or rise/run and in x equal +1 which is positive 1 and y equal +6 which is positive 6... then you divide y by x which will be 6 divided 1 or 6/1 and that’s how it’s 6 :)
Answer:13.5 inches
Step-by-step explanation:
Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base
So our equation for volume becomes
V = c*h*r^2
where 'h' is altitude and 'r' is radius of base and 'c' is constant
Putting the value of V,h,r,
we get,
154 = c*12*3.5*3.5
c = 22/21
Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,
77 = 22/21*h*7/3*7/3
or, h= 13.5
Hope it helps!!!
Answer: 8.7
Step-by-step explanation:
sqare root of 75 is 8.66 so the closest is 8.7
Answer:
2n^2 + n + 4.
Step-by-step explanation:
7, 14, 25, 40, 59
The differences are 7, 11, 15, 19 which is arithmetic sequence so the given sequence is quadratic.
Compile a table:
n 1 2 3 4 5
term 7 14 25 40 59
Diff: 7 11 15 19
Diff: 4 4 4 - this indicates that first part is 2n^2.
2n^2 2 8 18 32 50
term-2n^2 5 6 7 8 9
- the nth term for the last sequence is 5+ (n - 1)d =
= 5 + (n - 1)* 1
= n + 4.
So nth term for the original sequence is 2n^2 + n + 4.
we are given

To find x-intercept means we have to find zeros
and for finding zeros , we will use quadratic formula
and we have it has two x-intercepts
so, it's discriminant must be greater than 0
so, we will find discriminant

now, we can compare with


and then we can find a , b and c

now, we can find D


It has two x-intercepts
so,

now, we can solve for m


............Answer