Hello from MrBillDoesMath!
Answer:
The first choice ( -12, 20)
Discussion:
Using matrix multiplication we find the equations:
1x + 1y = 8 (A)
2x + 3y = 36 (B)
Next, compute
2(A) - B =>
(2x + 2y) - (2x + 3y) = 2*8 - 36 =>
(2x - 2x) + ( 2y-3y) = 16 - 36 =>
-y = -20 =>
y = 20
Substituting this y value in (A) gives
x + 20 = 8 =>
x = 8 - 20 =>
x = -12
The answer is the first choice ( -12, 20)
Thank you,
MrB
(1, -6) and (-5, 2)
Distance between 1 and -5 = 6
Distance between -6 and 2 = 8
6²+8²=x² (PYTHAGOREAN THEOREM)
36+64=x²
x² = 100
x = 10
Note: Not -10 because <em>distance cannot be negative.</em>
Step-by-step explanation:
So 2 pints = 1 quart
She need 3 quart
so 2 pints × 3 = 1 quart × 3
6 pints = 3 quart
...
The she need 6 pints which is
2 cups = 1 pint
She need 6, so mutiply with 6
2 cups × 6 = 1 pint × 6
12 cups = 6 pints
Then this is the answer, you got
12 cups = 6 pints = 3 quart
She need 12 cups of water to make fruit punch
The least common multiple is 8
The answer would be A because you would just plug in 2 everywhere where you see x