Which expression is equivalent to -4(5x - 9) + 6(2x + 5)?

-4(5x - 9) + 6(2x + 5)

multiplication of:

(-).(-) = +

(-).(+) = -

(+).(-) = -

(+).(+) = +

-4(5x) -4(- 9) + 6(2x + 5)

(-)(+)4(5x) (-)(-)4(9) (+)(+) 6(2x) (+)(+)6( 5)

-20x  + 36 + 12x + 30

-20x  + 12x + 36 + 30

-8x + 66

Step-by-step explanation:

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

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.