Bob and John are 450 feet when they start running towards each other. Bob runs at a speed of 11 get per second, and John runs at a speed of 14 feet per second how too will they meet

18 seconds

Step-by-step explanation:

Distance between both runners = 450 feets

Bob's speed = 11 ft/s

John's speed = 14 ft/s

Let The time it takes to meet = x

Recall :

Distance = speed * time

Bob's distance + John's distance = 450 feets

11x + 14x = 450

25x = 450

x = 450 / 25

x = 18 seconds

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

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