Rewrite the function by completing the square. h(x)=2x2+11x+15h(x)= 2 x^{2} +11 x +15

h(x)=2x

2

+11x+15

  h(x) = 2(x +11/4)^2 -1/8

Step-by-step explanation:

  h(x) = 2(x^2 +(11/2)x) +15

Add the square of half the x-coefficient inside parentheses. Subtract the same amount outside parentheses:

  h(x) = 2(x^2 +(11/2)x +(11/4)^2) +15 -2(11/4)^2

  h(x) = 2(x +11/4)^2 -1/8

side xy = 10

sin(x) = 4/5

cos(x) = 3/5

tan(x) = 4/3

step-by-step explanation: