Answer:
C
Step-by-step explanation:
1 yard=3 feet.
1 foot= 12 inches.
So,
1 yard=36 inches.
36×8=288
C IS CORRECT
Answer:
your slope is 1
Step-by-step explanation:
You would use the formula y2-y1/x2-x1=m you would do -12-(-9)/-6-(-9)
which would give you 3/3 which simplifies to 1.
Answer:
x ≥ -1
Step-by-step explanation:
The domain is all the possible x-values of the function.
Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.
So x is greater than or equal to -1.
x ≥ -1
X^2-10x+25 = (x-5)^2 or (x-5)(x-5)
Answer:
So the way to express a vector(
) as a product of its length and direction is
![v = |v| u = \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })](https://tex.z-dn.net/?f=v%20%20%3D%20%20%20%20%7Cv%7C%20u%20%3D%20%20%5Csqrt%7B12%7D%20%28%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D%20%2C%20-%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D%2C%20-%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D%29)
Step-by-step explanation:
Generally a vector is expressed as a product of its length and direction using the formula below
![v = |v|\cdot u](https://tex.z-dn.net/?f=v%20%20%3D%20%20%7Cv%7C%5Ccdot%20u)
Here v is the vector
|v| is its magnitude (length)
u is its unit vector (direction)
Now let take an example
Let
![v = 2i - 2j - 2k](https://tex.z-dn.net/?f=v%20%3D%20%202i%20-%202j%20-%202k)
The magnitude is mathematically evaluated as
![|v| = \sqrt{ 2^2 + (-2)^2 + (-2)^2 }](https://tex.z-dn.net/?f=%7Cv%7C%20%3D%20%20%5Csqrt%7B%202%5E2%20%20%2B%20%28-2%29%5E2%20%2B%20%20%28-2%29%5E2%20%7D)
![|v| = \sqrt{12}](https://tex.z-dn.net/?f=%7Cv%7C%20%3D%20%20%5Csqrt%7B12%7D)
The unit vector is mathematically represented as
![u = \frac{v}{|v|}](https://tex.z-dn.net/?f=u%20%20%3D%20%20%5Cfrac%7Bv%7D%7B%7Cv%7C%7D)
![u = \frac{ }{\sqrt{12} }](https://tex.z-dn.net/?f=u%20%20%3D%20%20%5Cfrac%7B%20%3C2%20%2C%20-2%20%2C%20-2%3E%7D%7B%5Csqrt%7B12%7D%20%7D)
![u = \frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} }](https://tex.z-dn.net/?f=u%20%3D%20%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D%20%2C%20-%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D%2C%20-%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D)
So
![v = |v| u = \sqrt{12} (\frac{2}{ \sqrt{12} } , -\frac{2}{ \sqrt{12} }, - \frac{2}{ \sqrt{12} })](https://tex.z-dn.net/?f=v%20%20%3D%20%20%20%20%7Cv%7C%20u%20%3D%20%20%5Csqrt%7B12%7D%20%28%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D%20%2C%20-%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D%2C%20-%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7B12%7D%20%7D%29)