Write an equation of a line that passes through the point Z (6, – 2) and is perpendicular to the line y=-1/3x + 2

y = 3x - 20

Step-by-step explanation:

First, we have to find the slope of the equation. We can do by taking the opposite reciprocal of the slope of the original line.

The opposite reciprocal of-1/3 is 3/1 or 3.

So, the slope of our equation will be 3. Our equation so far is:

y = 3x + b.

To find b, or the y-intercept of the line, we can simply substitute the given coordinates into the equation. If we replace x with 6 and y with -2 and solve the equation, we can find the value of b.

-2 = 3(6) + b

-2 = 18 + b

-2 - 18 = b

b = -20

So the equation is,

y = 3x -20.

To check our equation, we can again substitute the coordinates into the equation and solve. If both sides are equal, then the equation is correct.

-2 = 6(3) - 20

-2 = 18 - 20

-2 = -2

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.