Answer:
The value of X is -2/3
Step-by-step explanation:
edge2021
Answer:
Step-by-step explanation:
The intersection point (centroid) divides the medians in ratio 2:1. it does mean that the long segment value is the short segment value multiplied by two. let's call the centroid point G.
BG=DG*2=4*2=8
CG=EG*2=2*2=4
AG=FG*2 =>FG=AG/2=6/2=3
Answer:
k=6
Step-by-step explanation:
We are given a graph of the function f(x) and g(x) such that both the graphs are parabola and the graph of g(x) is a shift of graph of f(x) some units to the left.
The vertex of the graph of f(x) is at x=4
whereas the vertex of the graph of the function g(x) is at x= -2.
This means that the graph of g(x) is a shift of the graph of f(x) 6 units to the left.
This means that:
g(x)=f(x+6)
( Since the translation of a function f(x) k units either to the left or to the right is denoted by:
f(x+k)
when k>0 the shift is to the left and if k<0 the shift is to the right.)
This means that the value of k is 6
Answer:
angle DGC and angle CGB are adjacent angles
Answer:
y = 0.8425 or y = -0.8425
Step-by-step explanation:
All points in the Cartesian coordinate system have an x and y coordinate, defined by two perpendicular measurements.
If the point is on the unit circle, then the radius of the circle is defined to be 1 unit, and the corresponding right triangle follows the Pythagorean Theorem.

For a unit circle:

Substituting the known value for x, and simplifying...


Subtracting 0.29019769 from both sides to begin to isolate "y"...


Applying the square root property...


So, (to 4 decimal places), the y coordinate could be either 0.8425 or -0.8425.
With only the given information, either result is a valid answer.