A spotlight on the ground is shining on a wall 10 meters away. A woman who is 2 meters tall moves toward the spotlight at a speed of 0.5 meters/sec. How fast is the length of her shadow on the wall increasing when she is 6 meters from the spotlight?

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Select the correct answer from each drop-down menu. a system of equations and its solution are given below. system a complete the sentences to explain what steps were followed to obtain the system of equations below. system b to get system b, the equation in system a was replaced by the sum of that equation and times the equation. the solution to system b the same as the solution to system a.]

Which shows a reasonable estimation for 124% of 42 using the distributive property?