A visitor is staying in a tent that is 7 kilometers east of the closest point on a shoreline to an island. The island is 3 kilometers due south of the shoreline. The visitor plans to travel from the tent to the island by running and swimming. If the visitor runs at a rate of 6 kmph and swims at a rate of 5 kmph, how far should the visitor run to minimize the time it takes to reach the island?

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the infinity sign

step-by-step explanation:

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²