Christopher wants to build a road named Stargazer Boulevard that will be parallel to Moonbeam drive. On the road, he will build a dinner located at 7 blocks north of the community garden. Determine the equation of the line that represents Stargazer Blvd.

9514 1404 393

  y = -4/5x +23

Step-by-step explanation:

The slope of Moonbeam Drive is ...

  m = rise/run = -16/20 = -4/5

The y-intercept of Moonbeam Drive is +16. Moving it 7 blocks north will put it at +23.

The equation of parallel Stargazer Boulevard will be ...

  y = -4/5x +23

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)