Find point c on the line y x so that the line segment ac is perpendicular to the line segment ab

-1 and c = 4. So quadratic function is y = 2x^2 - x + 4. Next question is: suppose that the 3rd point is written as (3, t). Find all values for t that will change the quadratic function y =ax^2 + bx + c into a linear function.

s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink? 5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k? 9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole. 22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real? 24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places. 7, 24 and 25 A._________________ (smaller value) B._________________ (larger value)

2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places. A._______________________ (Smaller Value) B. _______________________ (Larger Value) 3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole. 4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k? 5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink? 6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?

is Imagine that in the voting for a certain​ award, 7 points are awarded for first​ place, 4 points for​ second, 3 points for​ third, 2 points for​ fourth, and 1 point for fifth. Suppose there were five candidates​ (A, B,​ C, D, and​ E) and 47 voters. When the points were​ tallied, A had 155 ​points, B had 173 ​points, C had 170 ​points, and D had 154 points. Find how many points E had and give the ranking of the candidates.​ (Hint: Each of the 47 ballots hands out a fixed number of points. Figure out how​ many, and take it from​ there.)