Smithville is 30 miles due south of Jonestown, and Brighton is 72 miles due east of Smithville. What is the distance from Jonestown to Brighton in miles?

78 miles

Step-by-step explanation:

Hi, since the distances form a right triangle ( see attachment) we have to apply the Pythagorean theorem:

c2 = a2 +b2

Where c is the hypotenuse (the longest side) and a and b are the other two sides of the triangle.

In this case the hypotenuse is the distance from Jonestown to Brighton (x)

Replacing with the values given:

x2 = 30^2 + 72 ^2

x2 = 900+5184

x2=6084

x = √6084

x = 78 miles

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step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204