Hey there! I'm happy to help!
First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).
Let's convert this below
A: (1,1)⇒(-1,-1)
B: (5,4)⇒(-5,-4)
C: (7,1)⇒(-7,-1)
D: (3,-2)⇒(-3,2)
Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.
A: (-1,-1)⇒(4,-2)
B: (-5,-4)⇒(0,-5)
C: (-7,-1)⇒(-2,-2)
D: (-3,2)⇒(2,1)
Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)
Now you know how to find the coordinates of translated figures! Have a wonderful day! :D
Answer:
<em>y = -2x + 25/2</em>
Step-by-step explanation:
Slope intercept form is y = mx + b.
You must solve the equation for y.
4x + 2y = 25
Subtract 4x from both sides.
2y = -4x + 25
y = -2x + 25/2
Answer:
Step-by-step explanation:
sin(
)
using the sides of the 30- 60- 90 triangle
with legs 1, 
and hypotenuse 2 , then
= 30° and
sin30° =
Answer:
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Step-by-step explanation:
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