Find the length of line segment x.

A) 16
B) 17
C) 18
D) 19

x=17

Step-by-step explanation:

you have to use the 2 secants rule

8(8+13) = 7(7+x) distribute in parenthesis

64+ 104 = 49 +7x  isolate variable

64+104-49 = 7x combine like terms

119 =7x divide both sides by 7

17 =x

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐

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