Answer:
EF is the best vector described to intersect both point s
Answer:
20
Step-by-step explanation:
Answer: as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.
let for greater than m mileage company A will
charge less than company B.
charge for company A for m mileage= $93
charge for company B for m mileage= $65 + $0.70*m
so,
93 ≤ 65+0.70*m
93-65 ≤ 65+0.70*m -65
28 ≤ 0.70*m
28*10 ≤ 7 *m
280 ≤ 7m
280/7 ≤ 7m/7
40 ≤ m
Ans: greater than 40 mileage Company A will charge less than Company B
Step-by-step explanation:
Part A: The equation of the ship's path is 
Part B: The two ships sails perpendicular to each other.
Explanation:
Part A: It is given that
and point (2, 5)
Substituting these in the slope intercept form, we have,


Thus, the equation of the ship's path in slope intercept form is 
Part B: The equation of the second ship is 
Let us bring the equation in the form of slope intercept form.

Thus, from the above equation the slope is 
To determine the two ships sailing perpendicular to each other, we have

where
and 

Since, both sides of the equation are equal, these two ships sails perpendicular to each other.
1) Parallel lines have equal slopes.
We need to find the slope of the given line by solving for y.
5x - 15y = 30
-15y = -5x + 30
y = (1/3)x - 2
The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.
2) Line 1 has slope 2/3.
Line 2 has slope 2/3.
3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.
4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.
y - 0 = (2/5)(x - 5)
y = 2/5 x - 2
5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.
Slope of perpendicular line is 1/3.