Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture:
Answer:
arc BC = 84 degrees
Step-by-step explanation:
notice:
need to find n before finding arc BC
(13n -16) + (7n + 12) + 6n = 360
13n + 7n + 6n - 16 + 12 = 360
26n - 4 = 360
26n = 364
n = 364/26 = 14
so arc BC = 6*14 = 84 degrees
Answer:
f(x) = -x -4 or f(x) = (-x)-4
Step-by-step explanation:
Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.
Transformations can be found using this general formula: f(x) = a(bx-h)+k
For this question, we want a translation down as well as a reflection.
The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.
Since we are translating down 4 units, k = -4
Since we are reflecting across the y-axis, b = -1
So, f(x)=(-x)-4
or
f(x)= -x -4
C
If we drew a line of best fit, the gradient would be roughly equal to 1, and the y intercept would be at around -4
