Hello from MrBillDoesMath!
Answer:
Choice A, 18x - 6y = 20
Discussion:
Given line
-9x + 3y = 12 (M)
Choice A:
18x - 6y = 20 => divide both sides by -2
-9x + 3y = -10 (N)
The left hand sides of (M) and (N) are equal implying that right hand sides are equal which further implies 12 = -10. Contradiction! so the system M and N has no solution.
Thank you,
MrB
Answer:
length = x + 5
Step-by-step explanation:
Given
area = x² + 8x + 15 and area = length × width
We require to factorise x² + 8x + 15
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)
The factors are + 5 and + 3, since
5 × 3 = 15 and 5 + 3 = 8, thus
x² + 8x + 15 = (x + 5)(x + 3)
x + 3 is the width, thus x + 5 is the length
Diagonals bisect each other



Option B
There are 4 quarts in on gallon (hence "quart"). So from here it is simple multiplacation. 4 x 7 = 28. So you get 28 quarts of peas.