Answer:
Can't answer because we don't know the distance between start position and Middelburg, as well as the number of stops along the way
Step-by-step explanation:
The solutions to the given system of equations is (0, -6) and (1, -5)
<h3>Simultaneous equations</h3>
From the question, we are to determine the solutions to the given system of equations
The equations are
x − y = 6 --------- (1)
y = x² −6 ---------- (2)
From equation (1)
x - y = 6
∴ x = 6 + y ------- (3)
Substitute into equation (2)
y = x² −6
y = (6+y)² −6
y = (6+y)(6+y) -6
y = 36 + 6y + 6y +y² -6
y = 36 + 12y + y² - 6
Simplifying
y² + 12y - y + 30 = 0
y² + 11y + 30 = 0
Solve quadratically
y² + 11y + 30 = 0
y² + 6y + 5y + 30 = 0
y(y +6) +5 (y +6) = 0
(y + 5)(y + 6) = 0
y + 5 = 0 OR y + 6 = 0
y = -5 OR y = -6
Substitute the values of y into equation (3)
x = 6 + y
When y = -5
x = 6 + (-5)
x = 6 -5
x = 1
When y = -6
x = 6 + (-6)
x = 6 -6
x = 0
∴ When x = 0, y = -6 and when x = 1, y = -5
Hence, the solutions to the given system of equations is (0, -6) and (1, -5)
Learn more on Solving simultaneous equations here: brainly.com/question/16863577
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It's shifted up two units. You can tell this by mapping the point of change as the origin in the original graph and (0,2) in the second graph.
Answer:
$70
Step-by-step explanation:
1 - ⅙ - ¼ = (12 - 2 - 3)/12 = 7/12
7/12 × 480 = 280
280/4 = 70
Answer:
Declaration of Independence was designed for multiple audiences: the King, the colonists, and the world. It was also designed to multitask. Its goals were to rally the troops, win foreign allies, and to announce the creation of a new country. The introductory sentence states the Declaration’s main purpose, to explain the colonists’ right to revolution. In other words, “to declare the causes which impel them to the separation.” Congress had to prove the legitimacy of its cause. It had just defied the most powerful nation on Earth. It needed to motivate foreign allies to join the fight.
Step-by-step explanation:
