Answer:
Step-by-step explanation:
events are 1+1+4=6
1+2+3=6
1+3+2=6
1+4+1=6
2+1+3=6
2+2+2=6
2+3+1=6
3+1+2=6
3+2+1=6
4+1+1=6
total number of ways=10
Answer:
angle bisector theorem
Step-by-step explanation:
the angle bisector theorem tells us that if an angle is cut by a bisector than it willl be equally cut and congruent
Step-by-step explanation:
so, we find the slope-intercept form :
y = ax + b
"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).
we have the slope : -6
and the given point (0, -10) gives us already the y-value when x = 0 : -10
therefore, the equation is
y = -6x - 10
Answer:
B
Step-by-step explanation:
Given 2 quantities that vary directly, then the graph must pass through the origin.
Nikiya's graph is the only one to do this ⇒ B
Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
