Answer:
A. 6
Step-by-step explanation:
f(x) = x² − 12x + 7
To complete the square, we first factor the leading coefficient to make it 1 (which it already is).
Then, we take half the second coefficient, square it, and then add to both sides. So (-12/2)² = (-6)² = 36.
f(x) + 36 = x² − 12x + 36 + 7
Then we factor the perfect square:
f(x) + 36 = (x − 6)² + 7
Then solve for f(x) by subtracting and simplifying:
f(x) = (x − 6)² + 7 − 36
f(x) = (x − 6)² − 29
So the value of a is 6.
Hello from MrBillDoesMath!
Answer:
1283.3
Discussion:
Volume of figure =
volume of cone + volume of cylinder =
(1/3) Pi r^2 h + Pi r^2 h =
(1/3) Pi (7)^2* 7 + Pi (7)^2 * 6 =
Pi * 7^2 ( (1/3) *7 + 6) = => using PI is approx 22/7
(22/7) * 7^2 ( 7/3 + 6) =
(22/7)* 49 (25/3) = 1283.3
Thank you,
MrB
Hello :
<span>g(n) = n2 − 16n + 69
=( n²-16n+64)-64 +69.....(</span><span> completing the square)
</span>g(n) = (n-8)² +5...... (<span>the vertex form)
the vertex is : (8,5)
</span><span>the axis of symmetry is the line : n = 1</span>
Answer:
34%
Step-by-step explanation:
Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.
$120 and the ratio is 3:2
$200 6:4 and half
