The coordinate of point N after the dilation is N' = (-8/3, 8/3)
<h3>Dilation of coordinates</h3>
Dilation is a transformation technique for changing the size of an object using a scale factor.
Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:
N' = (2/3(-4), 2/3(4))
N' = (-8/3, 8/3)
Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)
Learn more on scale factor here: brainly.com/question/10253650
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The rate of change, or slope, is the change in y over change in x. To find the slope, pick two points. The slope will be the change in y-coordinates over the change in x-coordinates.
As an equation, this is
To find the slope for function 1, pick any two points (x,y) in the table.
Let's choose (-1, 3) and (-2, 5).
The slope is
.
Let's choose (-1, 0) and (0, 4) for the two points for function 2.
The slope is
.
You want to compare the magnitude (without negatives) of the slope when comparing the greater rate of change/slope. In other words, you take the absolute value of each slope.
The magnitude of function 1's slope is 2.
The magnitude of function 2's slope is 4.
The picture above is how you answer it. If you have any question, feel free to let me know
The answer is -3 yea it is that it is -3
Answer:
(a) ∠EFH = 68°
(b) ∠EGF = 21°
Step-by-step explanation:
(a) The given parameters are;
The diameter of the circle = Segment
Arc = 138°
∠GFH = 22°
∠ EFG = (Angle subtended by the diameter EG at the center)
Arc mEG = 180° (Arc subtended by the diameter of a circle = 180°)
∠ EFG is subtended by the diameter EG at the center
∴ ∠ EFG = 90° (Angle at the center = 2 times angle at the circumference)
∠EFG = ∠EFH + ∠GFH (Angle addition postulate)
∴ ∠EFH = ∠EFG - ∠GFH = 90° - 22° = 68°
∠EFH = 68°
(b) ∠EGF
Arc GH = 44°
Arc mFE + Arc + Arc mEHG = 360 (Sum of angles at the center of a circle)
Arc mFE = 360 - ( Arc + Arc mEHG )
Arc mFE = 360 - 180 - 138 = 42°
∠EGF = Arc mFE/2 (Angle at the center = 2 times angle at the circumference)
∠EGF = 42/2 = 21°
∠EGF = 21°