Answer:
theres no question to match an answer to, bud..
Step-by-step explanation:
Answer:
y = -1/2 ( x − 4 )^2 + 8
Step-by-step explanation:
First find the vertex form
y = a ( x − h )^ 2 + k where ( h,k) is the vertex
The vertex is ( 4,8)
y = a ( x − 4 )^2 + 8
Now we need to determine a
Pick a point on the graph (0,0)
and substitute this point into the equation
0 = a ( 0 − 4 )^2 + 8
0 = a (16) +8
-8 = 16a
-8/16 =a
-1/2
y = -1/2 ( x − 4 )^2 + 8
Answer:
A= 28.26
C= 18.84
Step-by-step explanation:
A= πr²
A= (3.14) (3²)
A= (3.14) (9)
A= 28.26
C= π·D
C= (3.14) (6)
18.84
Answer:
x = 2
Step-by-step explanation:
(x + 16) ÷ 3 = 3 x
x + 16 = 3 × 3 x
x + 16 = 9 x
16 = 8 x
∴ x = 2
To evaluate
note that:
Use following properties:
1) ![\log_ab^k=k\log_ab;](https://tex.z-dn.net/?f=%5Clog_ab%5Ek%3Dk%5Clog_ab%3B)
2) ![\log_{a^k}b=\dfrac{1}{k}\log_ab.](https://tex.z-dn.net/?f=%5Clog_%7Ba%5Ek%7Db%3D%5Cdfrac%7B1%7D%7Bk%7D%5Clog_ab.)
Then
![\log _{\frac{1}{3}}27=\log_{3^{-1}}3^3=3\log_{3^{-1}}3=3\cdot \dfrac{1}{-1}\log_33=-3\log_33.](https://tex.z-dn.net/?f=%5Clog%20_%7B%5Cfrac%7B1%7D%7B3%7D%7D27%3D%5Clog_%7B3%5E%7B-1%7D%7D3%5E3%3D3%5Clog_%7B3%5E%7B-1%7D%7D3%3D3%5Ccdot%20%5Cdfrac%7B1%7D%7B-1%7D%5Clog_33%3D-3%5Clog_33.)
Since
you have
![\log _{\frac{1}{3}}27=-3.](https://tex.z-dn.net/?f=%5Clog%20_%7B%5Cfrac%7B1%7D%7B3%7D%7D27%3D-3.)