How to factor 9x^4-6x^2y^4+y^89x4−6x2y4+y8
1 answer:
Answer:
Step-by-step explanation:
We'll assume the correct expression to be factored is
One must try to find out if the expression is a perfect square. To test it, we'll take the square root of the first and the last term. If they are exact, we'll procceed with the next step
Since both are exact, we'll test if the middle term is twice the product of both square roots:
We confirm the middle term equals the above expression. All tests confirm the original expression is
The required factoring is
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Answer:
x ≈ 2.3 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos55° = =
( multiply both sides by 4 )
4 × cos55° = x , thus
x ≈ 2.3 cm ( to 1 dec. place )
Answer:
The answers to your three problem question are shown
1) the value of p is
p = -1
2) The coordinates of the focus are
Focus = (-1,0)
3) The equation of the directrix is
Directrix
x = 1
Step-by-step explanation:
The general equation for this parabola is
y^2 = 4px
Problem 1
Find the value of p.
We are told that the equation of the problem is
y^2 = -4x
And the general formula is
y^2 = 4px
From there, we can deduce that
p = -1, because
y^2 = 4(-1)x = -4x
This means that p = -1
Problem 2
Find the focus
To find the focus we can see the equations attached below for the focus, vertex and directrix.
In these case, the equations still apply, even though the variable is inverted, we just need to adjust it
y^2 = -4x =>
x = (-1/4)*y^2
x = a*y^2 + b*y +c
Focus
((4ac -b^2 + 1)/4a, -b/2a)
But, b = 0 and c = 0
=>
(1/4a,0) = (1/4(-1/4),0) = (-1,0)
Focus = (-1,0)
Problem 3
Find the directrix
The equation is
x = c - (b^2 + 1).4a
But, b = 0 and c = 0
x = -4*a
x = -4* (-1/4) = 1
x = 1
Directrix
x = 1
