I cant figure it out match each of the following with the equation below. Write the letter of the appropriate equation in the column beside each item

---Lines that are parallel to each other will have the same slope

---Lines that are perpendicular to each other will have opposite reciprocal slopes

A line parallel to y = 1/3x + 2 --- C

x = 3y + 21

3y = x - 21

y = 1/3x - 7

A line perpendicular to x = 3 --- A

This is a vertical line, with an undefined slope. A perpendicular line will have a 0 slope.

A line perpendicular to 9x - 3y = 18 --- B

9x - 3y = 18

-3y = -9x + 18

y = 3x - 6

The opposite reciprocal of 3 is -1/3.

A line parallel to -4x + 8y = 9 --- D

-4x + 8y = 9

8y = 4x + 9

y = 1/2x + 9/8

A line that is parallel will have the same slope (1/2).

x - 2y = -2

-2y = -x - 2

y = 1/2x + 1

Hope this helps!

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)