Vertex form of f (x) = 1/2x squared

How do I solve 5x-12=6x+12

A surveyor stands 75 feet from a building. He measures the angle of elevation to the top of the building at 67.5°. How tall is the building?

A grocer bought two bags of dried fruit. One bag contained 4,950 ounces of fruit and the other bag contained 2,730 ounces of fruit. He repacked the fruit equally into 8 smaller packets. What was the weight of the fruit in each packet?

How long could Apostle Paul walk in 4.5 hours if he walked an average of 4.3 kilometers per hour

Which operation should you perform last in the expression 32 + 2?

Ryan has a checking account balance of - $25. Write an absolute value statement to show how much money Ryan owes the bank.

Two friends shop for fresh fruit. jackson buys a watermelon for $7.65 and 5 pounds of cherries. tim buys a pineapple for $2.45 and 4 pounds of cherries. use the variable p to represent the price, in dollars, per pound of cherries.

John refills each machine. He puts 3/4 to machine A, B, C. The three machines took 18,324 tokens. How many tokens did each machine take

A college student receives an interest-free loan of $9,400 from a relative. The student will repay $200 per month until the loan is paid off. (a) Express the amount P (in dollars) remaining to be paid in terms of time t (in months).

A tile floor is made of square tiles. Each tile is 1.5 feet on each side. If the floor has 54 blocks in it what is the total area of the floor?