Answer:
Distance = 10.77 unit (Approx.
Step-by-step explanation:
Given:
Coordinate of Jenna's house = (2,4)
Coordinate of Zac's house = (-2,-6)
Find:
Distance
Computation:
Distance = √(X1 - X2)² + (Y1 - Y2)²
Distance = √(2 + 2)² + (4 + 6)²
Distance = √(2 + 2)² + (10)²
Distance = √16 + 100
Distance = √116
Distance = 10.77 unit (Approx.
We can start from the given line's coefficients and translate the line from the origin to the given point.
4(x -(-2)) -(y -3) = 0
4x +8 -y +3 = 0
The equation of the desired line is ...
4x -y = -11
_____
For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
a(x-h) +b(y-k) = 0
which is completely equivalent to
ax +by = ah +bk
If you are rolling a single six sided die numbered 1-6, you find that only 1,2,4, and 5 are factors of 20. Now the theoretical probability of an event is the ratio comparing the number of desired outcomes to the total outcomes possible.
In this case: we have 4 desired outcomes out of a total 6 outcomes possible with a single roll the die.. therefore, the probability you seek is

or approximately 67%.