Sequence: 3, 6, 11, 18, 27, … Part A: What explicit expression can be used to find the nth term of this sequence?

A.
3n + 2(n – 1)

B.
n2 + 2

C.
3n2 – 6

D.
3n + 12

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. the original photo was 800 pixels wide by 600 pixels high. the new photo will be 1,260 pixels wide. what will the new height be?

What is the y-intercept of the line with the equation 3x + 4y = 12?