Plug in (-1, 3) into both equations
Ax - 2y = 4
A(-1) - 2(3) = 4
-A - 6 = 4 Add 6 on both sides
-A = 10 Divide -1 on both sides
A = -10
5x + By = -1
5(-1) + B(3) = -1
-5 + 3B = -1 Add 5 on both sides
3B = 4 Divide 3 on both side
B = 
Answer:
(-4,-3)
Step-by-step explanation:
Assuming the polygons initial position is at (0,0)
-3 = y
-4 = x
Answer:
$11
Step-by-step explanation:
Set up the system of equations
18x + 9y = 45
20x + 12y = 52
Let's try to get y on one side for the first equation.
9y=45-18x
y=5-2x
Now substitute it into the second equation.
20x + 12(5-2x) = 52
20x + 60 - 24x = 52
-4x = -8
x = 2
Now solve for y using the first equation.
18(2) + 9y = 45
36 + 9y = 45
9y = 9
y = 1
Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.
4(2) + 3(1) = z
8 + 3 = z
11 = z
That means that the price is 11 dollars.
Answer:
0.25cups
Step-by-step explanation:
if it is 1 cup then we are doubling the amount of onions so
1/8 x 2= 1/4= 0.25cups
Answer:
b(a - b)(a + b)
Step-by-step explanation:
Given
a²b - b³ ← factor out b from each term
= b(a² - b²) ← a² - b² is a difference of squares
= b(a - b)(a + b)