Vector a = (2, 1, 2)
Vector b = (1, 2, 4)
Vector p = (k, k, k)
Vector a to vector b = vector b - vector a = (1, 2, 4) - (2, 1, 2) = (1 - 2, 2 - 1, 4 - 2) = (-1, 1, 2)
Vector a to vector p = vector p - vector a = (k, k, k) - (2, 1, 2) = (k - 2, k - 1, k - 2)
Vector a to b is perpendicular to vector a to p if the dot product of vector a to vector b and vector a to vector p is equal to zero.
i.e. (-1, 1, 2) . (k - 2, k - 1, k - 2) = 0
-1(k - 2) + (k - 1) + 2(k - 2) = 0
-k + 2 + k - 1 + 2k - 4 = 0
2k -3 = 0
2k = 3
k = 3/2
In y = mx + b form, the slope is represented by m and the y intercept is represented by b
y = mx + b
y = -7x + 2
The x’s must all be different. So if any x’s repeat it is not a function
Step-by-step explanation:
u should:
7t = t + 48 » 7t - t = 48 » 6t = 48 » t = 8
and another one is:
2u + t + 13 = 10t + u - 44» 2u + 8 + 13 = 80 + u - 44»
» 2u + 21 = u + 36 » 2u - u = 36 - 21 » u = 15
Linear
Step-by-step explanation:
because a linear changes at a constant rate and an exponential changes by a common ratio
