Answer:
D
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y) → (- y, x)
A translation of 3 units up → + 3 in the y- direction, that is add 3 to the y- coordinate, hence
(x, y) → (- y, x) → (- y, x+ 3) → D
The slope would be 2/3 because that would leave pounds when multiplied by cups.
add 0.5 for the weight of the water jug
y = (2/3)x + 0.5
Answer:
x=√139-3, x=-√139-3
Step-by-step explanation:
to complete the square, you first move the constant to the other side of the equation-its already done for you!
now, you find the perfect square trinomial. You divide the b value by 2, then square it: 6/2=3, 3^2=9.
What you do to one side has to be done with the other.
x^2+6x+9=130+9
now you can factor the square:
(x+3)^2=139
squareroot both sides:
x+3=√139
x+3=-√139
now subtract both sides by 3
x=√139-3
x=-√139-3
Add them together and subtracct thee total.
They correspond to any real number.
