Could a line through the origin perpendicular to a line through the origin with slope 1 / 2 pass through the point
(−1,4)? explain how you know.

  no

Step-by-step explanation:

The perpendicular line will have slope ...

  m = -1/(1/2) = -2

Since it goes through the origin, its equation is ...

  y = -2x

For x = -1, this is ...

  y = 2(-1) = -2

The line will go through the point (-1, 2), but not (-1, 4). (See attached)

18.8 cubic inches.

step-by-step explanation:

volume of a cone = πr²h

r = 1.5 inches

h = 8 inches

pi = 3.14

volume of our cone = × 3.14 × 1.5² × 8 = 18.84 square inches

or equals to 18.8 square inches rounded up to nearest tenth.

w

step-by-step explanation: