Answer:
The minimum value = -38
Step-by-step explanation:
∵ f(x) = x² - 12x - 2
∵ -12x ÷ 2 = -6x ⇒ -6 × x
∴ (x - 6)² = x² - 12x + 36
∴ Add and subtract 36 in f(x)
∴ f(x) = (x² - 12x + 36) - 36 - 2
∴ f(x) = (x - 6)² - 38 ⇒ completing square
∴ The vertex of the parabola is (6 , -38)
∵ Its minimum point because the coefficient of x² is positive
∴ The minimum value = -38
Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
Answer:
(2,1)
Step-by-step explanation:
Because it rises by 2 and runs by 1
2-5/q=16
-5/q =2=16
(-5)+qx2/q=16
q=-5/14
Answer:
To the line
Step-by-step explanation:
