Answer:
a = 8
Step-by-step explanation:
x-1 = 0
x = 1
let x³ + ax² -x -8 be p(x)
hence, p(1) = (1)³ + a(1)² -1 -8 = 0 (since, x-1 is a factor)
= 1 + a - 1-8
= a - 8 = 0
therefore, a = 8
Answer: Juan walks 3 miles in 1 hour.
Step-by-step explanation:
3 mi/ 1 hr is the unit rate because you are supposed to turn it into a fraction and simplify it.
Answer:
Step-by-step explanation:
Given that

To find tangent, normal and binormal vectors at (0,0,1)
i) Tangent vector

At the particular point, r'(t) = (1,1,e)
Tangent vector = 
ii) Normal vector
T'(t) = 
At that point T'(t) = (0,0,e)/e = (0,0,1)
iii) Binormal
B(t) = TX N
= ![\left[\begin{array}{ccc}i&j&k\\1&1&e^t\\0&0&e^t\end{array}\right] \\= e^t(i-j)](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C1%261%26e%5Et%5C%5C0%260%26e%5Et%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D%20e%5Et%28i-j%29)
Given:
Rule of transformation is
.
Point = (-5,6)
To find:
The missing values in the given steps of transformation.
Solution:
Step 1: A: (-5, 6).

Step 2: Substitute x and y into 

Step 3: Do the math:
Point A' is at (-1 ,4 ).
Therefore, the coordinates of the point (-5,6) after the transformation are (-1,4).