Answer:
The Answer is: y = -5/7x - 4 4/7
Step-by-step explanation:
The given equation:
y = 7/5x + 6
The slope is: 7/5
The slope of a line perpendicular to this line is the negative inverse:
-5/7
Take the given point, (2, -6) and use the point slope form of the equation:
y - y1 = m(x - x1)
y - (-6) = -5/7(x - 2)
y + 6 = -5/7x + 10/7
Subtract 6 from both sides:
y = -5/7x + 10/7 - 6
Find a common denominator:
y = -5/7x + 10/7 - 42/7
y = -5/7x -32/7
y = -5/7x - 4 4/7
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:
90.4 feet (nearest tenth)
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
8 servings
Step-by-step explanation:
At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...
40 g/(5 g/serving) = 8 servings
<span>The correct answer is: both equal in measure :)</span>