answer:Squaring both sides, we have x - 2 = 64. Adding 2 to both sides, we have x = boxed{66}. The answer is: 66

answer:The equation of a line with slope 3 passing through the point (10,15) is y-15=3(x-10), which simplifies to y=3x-15. Similarly, the equation of a line with slope 5 passing through the point (10,15) is y-15=5(x-10), which simplifies to y=5x-35. To find the x-intercepts of these lines, we set y=0 in each equation and solve for x: For the first line, 0=3x-15, so x=5. For the second line, 0=5x-35, so x=7. The distance between these x-intercepts is 7-5=boxed{2}. The answer is: 2

answer:The combined points of Max and Dulce is 5 + 3 = 8 points. Val has twice the combined points, so Val has 8 x 2 = 16 points. Their team has a total of 5 + 3 + 16 = 24 points. Their opponents' team has 40 points. Their team is behind by 40 - 24 = 16 points. 16 The answer is: 16

answer:To solve this problem, we need to determine the value of x, which represents the difference between the two numbers. We know that the sum of the two numbers is 30, and the larger number is 17. Let's set up an equation based on the given information: Larger number + Smaller number = Sum of the two numbers 17 + Smaller number = 30 To find the value of the smaller number, we subtract 17 from both sides of the equation: Smaller number = 30 - 17 Smaller number = 13 Now, we can calculate the difference between the two numbers: Difference = Larger number - Smaller number Difference = 17 - 13 Difference = 4 Therefore, the value of the unknown variable x is 4. The answer is: 4