<h3><u>Correcte</u><u>d Question</u><u>:</u><u> </u></h3>
Solve for x :
4 - (2x + 4) = 5
1) x = -10
2) x = 5/2
3) x = 1/2
4) x = 6
<h3><u>Answer</u><u>:</u><u> </u></h3>
➛ 4 - 2x + 4 = 5
➛ 2x + 4 - 4 = 5
➛ 2x + 0 = 5
➛ 2x = 5
➛ x = 5/2
Thus, The value of x is <u>5/2</u><u>.</u><u> </u>
Answer:
x = 96
Step-by-step explanation:
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
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Answer:
- The circles radious increases
Step-by-step explanation:
- The equation of a circle can be written as
, where "r" is the radious, and (a,b) are the coordenates in the axis x and b respectively. - Then, in the first circle the coordenates are (0,7), which means that the circle will be center there, and the radious is 7 (
). - The second circle have different coordenates: (-5,4), which means that the circle has moved left (from 0 to -7 in the x axis) and down (from 7 to 4 in the y axis). Additionally, its radious has increased from 7 (
, from 8 (
). - See the attached figure please.
- Then, the <u>correct answers</u> are:
- The circles radious increases (from r=7 to r=8)
- The circles moves left (from x=0 to x=-5)
- The circles moves down (from y=7 to y=4)