Answer:
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
Step-by-step explanation:
As can be seen in the Sample Tree attached, the eight elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the three tosses are:
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
Answer:
The gradient of the line segment between the two points is -1
Step-by-step explanation:
The gradient of the line segment between two points is also known as the slope,
We can find this by using the formula; y₂ - y₁ / x₂ - x₁
The points given to us are;(-1,2) and (-2,3).
This implies x₁ = -1 , y₁=2 x₂ = -2 y₂= 3
We can now proceed to insert our values into the formula;
Gradient = y₂ - y₁ / x₂ - x₁
= 3 - 2 / -2-(-1)
= 1 / -2 + 1
=1/-1
Gradient = -1
Therefore the gradient of the line segment between the two points is -1
Answer:
A (-5,2)
Step-by-step explanation:
5x+y=-23
7x-3y=-41
3×(5x+y)=3×(-23)
15x+3y=-69
<u>+</u><u>7x-3y</u><u>=</u><u>-41</u>
<u>22x</u>=<u>-110</u>
22. 22
x=-5
5x+y=-23
5(-5)+y=-23
-25+y=-23
<u>+25</u><u>.</u> <u>+25</u>
y=2
When using elimination you add both equations together so that one variable cancels out the other. In this situation, y can be the variable. You must get the y-variables to cancel out leaving just the x- variables to solve for.
