First find the slope of the line segment joining the points.
Slope = ((-5)-7)/(1-(-3)) = -3
The slope of any perpendicular to the line is 1/3
Find the midpoint of the line segment by taking the average of the coordinates.
x-coord of midpoint = (-3+1)/2 = -1
y-coord of midpoint = (7-5)/2 = 1
Midpoint : (-1,1)
Point-slope equation for line of slope 1/3 that passes through (-1,1):
y-1 = (1/3)(x+1)
Answer:
The circles are similar because the transformation rule (+ 5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of 3/4.
Step-by-step explanation:
All the circles are similar.
That is because you can transform one circle onto another by two similarity operations: translation and dilation (scale factor).
For these two circles you have to translate the center of circle 1 to the center of circle 2, which will make that the two circles are concentric (have the same center).
The two centers are (-6,2) and (-1,- 4). To move the center (-6, 2) to (-1,4) you have to shift it 5 units to the right and 6 units down:
- 6 + 5 = - 1
2 - 6 = - 4.
After this translation, you dilate the circle with smaller radius using a scale factor equal to the ratio of the bigger radius to the smaller radius: 8/6 = 4/3.
Enter the scale factor as a fraction in simplest form. 3/4
The circles are similar because the transformation rule (+5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of 3/4.
Answer:
you need to first figure out the equation f.
it says that 18=2/5f, so why don't we use inverse operation and multiply 18 by 5/2. and the answer would be....
Step-by-step explanation:
First, do g(4) by plugging in 4 for x
4^ - 3 = 16 - 3 = 13
Then, multiply it by f(x)
13(3x + 2) = 39x + 26
Answer= 39x + 26