The line will flip across the y-axis.
He equation of a parabola is x = -4(y-1)^2. What is the equation of the directrix?
<span>You may write the equation as </span>
<span>(y-1)^2 = (1) (x+4) </span>
<span>(y-k)^2 = 4p(x-h), where (h,k) is the vertex </span>
<span>4p=1 </span>
<span>p=1/4 </span>
<span>k=1 </span>
<span>h=-4 </span>
<span>The directrix is a vertical line x= h-p </span>
<span>x = -4-1/4 </span>
<span>x=-17/4 </span>
<span>------------------------------- </span>
<span>What is the focal length of the parabola with equation y - 4 = 1/8x^2 </span>
<span>(x-0)^2 = 8(y-4) </span>
<span>The vertex is (0,4) </span>
<span>4p=8 </span>
<span>p=2 (focal length) -- distance between vertex and the focus </span>
<span>------------------------------- </span>
<span>(y-0)^2 = (4/3) (x-7) </span>
<span>vertex = (7,0) </span>
<span>4p=4/3 </span>
<span>p=1/3 </span>
<span>focus : (h+p,k) </span>
<span>(7+1/3, 0)</span>
Answer:
The correct answer is E. Neither the frequency nor the wavelength is affected. Explanation: The wave frequency does not affect the speed of that wave. An increase in frequency of a wave causes a decrease in wavelength while the wave speed remains the constant. The speed of the waves is significantly higher at higher tensions.
Step-by-step explanation:
The sum of the internal angles in a simple pentagon is 540°.
105 + 135 + 92 + 87 = 419
540 - 419 = 121
The angle is 121
Answer: (A) and (B) are the same
Step-by-step explanation:
for (A)
x-=x+4
x=x-(x+4)
x=x-x-4
x=4
for (B)
x=x+4-x
x=4
for (C)
x=x-(x+4)
x=x-x-4
x=-4
so (A) and (B) are the same because the value of their x is +4
