Answer:
(x, y) → (–x, –y)
Step-by-step explanation:
The rule for 180° rotation about the origin is
The coordinates of the image are obtained by negating both the x and y coordinates of the preimage.
Whether the rotation is clockwise or counterclockwise, the rule remains the same.
The correct option is (x, y) → (–x, –y)
For option d:
5x - 7y = 10 . . . . . (1)
10x - 14y = 8 . . . . (2)
(1) x 2 => 10x - 14y = 20 . . . . . (3)
(2) - (3) => 0 = -14 [not possible]
Therefore, the set of equations in option d, has no solutions.
Write the equation
popcorn, x
drinks, y
51.25 = 5x + 5y
122.25 = 15x + 8y
<span>Multiply the 1st row by 3
</span><span>15x+15y=153.75</span>
<span><span><span>15x+8y=122.25</span>1
</span></span><span>Subtract the 2nd row from the 1st row
</span>7y=31.<span>5
</span>Divide both sides by <span><span>7
</span></span>y=<span><span><span>31.5</span></span><span>/7
simplify
y = 4.5
</span></span>Substitute <span>y=4.5</span><span> into any of the two equations above
Let's pick the first equation
</span><span><span><span>15x+15y=153.75
</span></span></span>15x+15(4.5)=153.75
<span>Simplify
</span>15x+67.5=153.7<span>5
</span>Subtract <span>67.5</span> from both sides
15x=153.75−67.<span>5
</span><span>Simplify
</span><span>15x=86.25</span>
Divide both sides by <span><span><span>15
</span></span></span><span>x=<span><span><span>86.25</span></span><span>/15
Simplify
</span></span></span><span><span>x=5.75
Therefore,
</span></span><span>x=5.75</span>
<span><span><span>y=4.5
Follow along on a piece of paper, it'll help you get it.</span></span></span>
