Find an equation for the line that has a x-intercept of 3 and is perpendicular to the graph of -2x+5y=6

or

Step-by-step explanation:

step 1

Find the slope of the given line

we have

isolate the variable y

so

The slope is

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

so

we have

so

----> slope of the perpendicular line

step 3

Find the equation of the line in point slope form

we have

----> x-intercept

substitute

apply distributive property eight sides

or

A jumbo jet maintains a constant airspeed of 500 miles per hour (mi/hr) headed due north. The jet stream is 80 milhr in the northeasterly direction. (a) Express the velocity va of the jet relative to the air and the velocity vw of the jet stream in terms of i and j (b) Find the velocity of the jet relative to the ground (c) Find the actual speed and direction of the jet relative to the ground. (a) Find va. va 500 (Simplify your answer. Type your answer in the form ai bj. Type an exact answer, using radicals as needed.) Find v 40 2i +40 2 (Simpl fy your answer Type your answer in the form ai bi. Type an exact answer, using radicals as needed.) (b) Find the velocity of the jet relative to the ground va 40 2 500 40 2 j (Simplify your answer. Type your answer in the form ai bj. Type an exact answer, using radicals as needed.) (c) Find the actual speed and direction of the jet relative to the ground The jet is travelling at 559.4 mihr relative to the ground, in the direction NT 65 E (Round to one decimal place as needed.)

Step-by-step explanation: