Answer:
5/3
Step-by-step explanation:
The reciprocal is the fraction upside down.
We will check each options and verify it
(a)

we can plug m=2



so, this is FALSE
(b)

we can plug x=3



so, this is TRUE
(c)

we can plug x=3



so, this is FALSE
(d)

now, we can plug x=2



So, this is FALSE
Answer:
x = 7
Step-by-step explanation:
y = (x – 7)^2 – 3
This equation is in vertex form
y = a(x-h)^2 +k
where (h,k) is the vertex
For a vertical parabola, the line of symmetry is x=h
x = 7
Answer:
A: an = 6n - 9
Step-by-step explanation:
third term in an arithmetic sequence is 9
a3 = a + 2d
a + 2d = 9
the fifth term is 21
a5 = a + 4d
a + 4d = 21
a + 2d = 9 (1)
a + 4d = 21 (2)
Subtract (1) from (2) to eliminate a
4d - 2d = 21 - 9
2d = 12
d = 12/2
d = 6
Substitute d = 6 into (1)
a + 2d = 9 (1)
a + 2(6) = 9
a + 12 = 9
a = 9 - 12
a = -3
nth term of this sequence = a + (n - 1)d
= -3 + (n - 1)6
= -3 + 6n - 6
= 6n - 9
an = 6n - 9
Answer:
39.25 cm
Step-by-step explanation:
The formula for a circle is pi x radius x radius.
So to get the radius, you multiply 10 and 1/2. You should get 5. Then you multiply 5 by 5. You should get 25.
Then you multiply 3.14 and 25. You should get 78.5.
The last step is to divide 2 by 78.5. You should get 39.25