the equation 2x-4-1+x would be the answer
Because 2x+x = 3x and -4-1 = 5, the result would be 3x-5
Answer:
Step-by-step explanation:
Given:
u = 1, 0, -4
In unit vector notation,
u = i + 0j - 4k
Now, to get all unit vectors that are orthogonal to vector u, remember that two vectors are orthogonal if their dot product is zero.
If v = v₁ i + v₂ j + v₃ k is one of those vectors that are orthogonal to u, then
u. v = 0 [<em>substitute for the values of u and v</em>]
=> (i + 0j - 4k) . (v₁ i + v₂ j + v₃ k) = 0 [<em>simplify</em>]
=> v₁ + 0 - 4v₃ = 0
=> v₁ = 4v₃
Plug in the value of v₁ = 4v₃ into vector v as follows
v = 4v₃ i + v₂ j + v₃ k -------------(i)
Equation (i) is the generalized form of all vectors that will be orthogonal to vector u
Now,
Get the generalized unit vector by dividing the equation (i) by the magnitude of the generalized vector form. i.e

Where;
|v| = 
|v| = 
= 
This is the general form of all unit vectors that are orthogonal to vector u
where v₂ and v₃ are non-zero arbitrary real numbers.
Answer: 
Step-by-step explanation:
Given
Vertex of the parabola 
Focus of the parabola 
As the x coordinate of vertex and focus is same and focus lie below the vertex, therefore the parabola is the type of

distance between Vertex and focus is 1 unit

Parabola becomes

Answer:
x=1.875 y=-0.875
Step-by-step explanation:
10x-3y=3 10x-3y=3
3(2x+y)=(9)3 +<u>6x+3y=27</u>
1/16(16x)=(30)1/16 = x=1.875
10x-3y=3 10x-3y=3
-5(2x+y)=(9)-5 -<u>10x-5y=4 </u>
1/-8(-8y)=(7)1/-8 = y=-0.875