The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3, x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
3 1/2 ÷ 1 1/4
7/2 ÷ 5/4
7/2 · 4/5
28/10
2.8
Julio walks 2.8 miles in one hour.
Hi there
The simple interest formula is
I=prt
I interest changes
P amount of the loan 6000
R interest rate
T time( number of months/12 months)
The interest in 36 months at a 10%
I=6,000×0.1×(36÷12)=1,800
The interest in 48 months at a 12%
6,000×0.12×(48÷12)=2,880
she will save
2,880−1,800=1,080
Good luck!
Answer:
The measure of an interior angle of a regular 12-gon is 150°.
Hence, option 'C' is correct.
Step-by-step explanation:
We need to determine the measure of an interior angle of a regular 12-gon.
- We know that the number of sides in a regular 12-gon = n = 12
Thus,
Using the formula to determine the measure of an interior angle of a regular 12-gon is given by
(n - 2) × 180° = n × interior angle
substitute n = 12
(12 - 2) × 180 = 12 × interior angle
10 × 180 = 12 × interior angle
Interior angle = (10 × 180) / 12
= 1800 / 12
= 150°
Therefore, the measure of an interior angle of a regular 12-gon is 150°.
Hence, option 'C' is correct.
