Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
4) A f is continuous at x=c
5) B if f is not differentiable at x=c, then f is not continuous at x=c
The scale factor of the dilation is 2.
Option D is correct.
Step-by-step explanation:
To find the scale factor of dilation, we find ratio of similar sides.
We are given the point (3,5) is moved to (6,10) under dilation.
Scale Factor = 6/3 = 2
or
Scale Factor = 10/5 = 2
The scale factor of the dilation is 2.
Option D is correct.
Keywords: scale factor of the dilation
Learn more about scale factor of the dilation at:
#learnwithBrainly
9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
