AB+BC=AC
AM+MB=AB
2x+8+3x-4=AB
5x+4=AB
Feels free to ask me why I did any of these steps
Answer:
The new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).
i.e. [(-4,0)→(4,0)]
Step-by-step explanation:
The rule for rotation a point 180° counterclockwise about the origin states that when a point (x, y) is rotated 180° counterclockwise about the origin, the new position of the coordinates of point P(x, y) becomes (-x, -y).
Hence,
- Rotate (x, y) counterclockwise 180° about the origin: [(x,y)→(-x,-y)]
So, when the given point (-4,0) is rotated 180 degrees counterclockwise using center (0,0), the new coordinates of the image will be:
- Rotate (-4, 0) counterclockwise 180° about the origin: [(-4,0)→(4,0)]
Therefore, the new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).
i.e. [(-4,0)→(4,0)]
Keywords: rotation, origin, image
Learn more rotation from brainly.com/question/12200192
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Answer:
10x + 25y = 285
One $25 gift cards with 26, $10 gift cards.
Three $25 gift cards with 21, $10 gift cards and
Five $25 gift cards with 16, $10 gift cards.
Step-by-step explanation:
I can purchase gift cards for $10 or $25. I have spent $285 on gift cards.
If I have purchased x number of $10 gift cards and y number of $25 gift cards then the equation that models the situation in standard form will be given by
10x + 25y = 285 .......... (1)
Now, for y = 1, x = 26
For, y = 3, x = 21
For, y = 5, x = 16
So, here are the three combinations of gift cards that I could have purchased.
One $25 gift card with 26, $10 gift cards.
Three $25 gift cards with 21, $10 gift cards and
Five $25 gift cards with 16, $10 gift cards. (Answer)
Hey there!
k - 10/2 = -7
k - 5 = -7
ADD 5 to BOTH SIDES
k - 5 + 5 = -7 + 5
CANCEL out: -5 + 5 because that gives you 0
KEEP: -7 + 5 because it helps solve for the k-value
NEW EQUATION: k = -5 + 7
SIMPLIFY IT & YOU HAVE YOUR ANSWER!
k = -2
Therefore, your answer is: k = -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Associative property of addition.
This means that no matter where you put the parenthesis, you will get the same solution.
Hope this helps!
