The first few steps in solving the quadratic equation 9x2 + 49x = 22 − 5x by completing the square are shown.

9x2 + 49x = 22 − 5x

9x2 + 54x = 22

9(x2 + 6x) = 22

Which is the best step to do next to solve the equation by completing the square?

9(x2 + 6x + 3) = 25
9(x2 + 6x + 3) = 49
9(x2 + 6x + 9) = 31
9(x2 + 6x + 9) = 103

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

answer: $1794

step-by-step explanation: