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:
No
Step-by-step explanation:
By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.
Thus,
where where a and b are the legs and c is the hypotenuse.
Let a=6ft, b=21ft and c=23ft, then




which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.
Answer:
2.2
Step-by-step explanation:
2.189 to 2 significant figures is 2.2
Answer:
√(3x)-2y+7
here √(3x) means, √3×√x
√x = x^(1/2)
now, now the exponent is 1/2, which means it's not a polynomial
Riaz : Ali
3 : 2
Add the two values; so 3 + 2 is 5
Then 100/5 = 20
So: 20 x 3 = 60
and 20 x 2 = 40
Riaz = 60%
Ali = 40%
Then write 60% and 40% as a fraction:
60% = 3/5 (3 over 5)
40% = 2/5 (2 over 5)
The answers are in bold :)
(btw sorry in advance if you spot a mistake in my answer)