#18. C. 1&3
This is be cause when you simplify to y=.. for 4y=3x and 8y=6x, they both turn out to be y=3/4x. The constant of proportionality is 3/4 because both equations simplify to have that as a constant.
#19. D
Kathy can add less than or equal to 7 books to her suitcase.
To cross off the first two choices(A&B), you input a number above 7 and then multiply it by 1 3/4 . Add it to 37 1/2 and it will be more than 50, meaning it will not fit since the suitcase can’t have more than 50 pounds in it.
To cross off C, you would multiply 1 3/4 by 7 and get 12.25. Add 12.25 to 37 1/2 and you will get 49.75 . This result would mean that you can have less than 7 books or just 7 books, leaving the answer to be D.
A right triangle can also be an isosceles triangle.
L = S + 80
180 - L - S = S + 10 simplify: L = 180 - 2S - 10
L = 170 - 2S = S + 80
3S = 90
S = 30 L = 110 3rd angle = 40
Answer:
x³ - 9x² + 27x - 27
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side ) , thus
V = (x - 3)³
= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL
= (x - 3)(x² - 6x + 9) ← distribute
= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms
= x³ - 9x² + 27x - 27
