8x(x - 6)1/2 + 4(x - 6)3/2 = 0
8x(x) - 8x(6)1/2 + 4(x) - 4(6)3/2 = 0
8x² - 48x(1/2) + 4x - 24(3/2) = 0
8x² - 24x + 4x - 36 = 0
8x² - 20x - 36 = 0
x = <u>-(-20) +/- √((-20²) - 4(8)(-36))</u>
2(8)
x = <u>20 +/- √(400 + 1152)</u>
16
x =<u> 20 +/- √1552</u>
16
x = <u>20 +/- √(16 × 97)</u>
16
x = <u>20 +/- √16 √97
</u> 16<u>
</u>x = <u>20 +/- 4 √97
</u> 16
x = <u>20 +/- 4(9.848857802)</u>
16
x = <u>20 +/- 39.39543121</u>
16
x = <u>20 + 39.39543121</u> x = <u>20 - 39.39543121</u>
16 16
x = <u>59.39543121</u> x = <u>-19.39543121</u>
16 16
x = 3.71221445 x = -1.212214451
<u />
Answer:
C
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant.
Using the distance formula
= | y - 5 |
Squaring both sides
(x - 4)² + (y - 1)² = (y - 5)² ← distribute the factors in y
(x - 4)² + y² - 2y + 1 = y² - 10y + 25 ( subtract y² - 10y + 25 from both sides )
(x - 4)² + 8y - 24 = 0 ( subtract (x - 4)² from both sides )
8y - 24 = - (x - 4)² ← add 24 to both sides )
8y = - (x - 4)² + 24 ( divide both sides by 8 )
y = - (x - 4)² + 3
Hence
f(x) = - (x - 4)² + 3 → C
Answer:
x = 11/3
Step-by-step explanation:
x - 2/3 = 3
³⁾x = ³⁾3 + 2/3
3x = 9 + 2
3x = 11
x = 11/3
20.7123152 thats the answer i looked it up