Coordinates after 270 clockwise rotation is (-6,-2), (-3,-5) and (-8, -5).
<h3>What is graph?</h3>
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given coordinates are: (-2,6) , (-5, 3) and (-5, 8)
For 270° clockwise about the origin, we have the following rule:
(x, y)= (-y, x)
So,
coordinates (-2,6) change into (-6,-2)
coordinates (-5, 3) change into (-3,-5)
coordinates (-5, 8) change into (-8, -5).
Learn more about this concept here:
brainly.com/question/12673036
#SPJ1
Let p represent # of pages in the book.
Then (1/4)p = 67. Solve for p by mult. both sides of this equation by 4:
p = 268 (pages)
Answer:
Coordinates of the new library is (150, 70)
Step-by-step explanation:
To get the shortest possible distance means that line from point T to point R has to be perpendicular.
Now, the equation of R is given as;
y = x - 80 - - - (1)
For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.
Thus, slope of T is -1/1 = - 1
Thus, using line - slope intercept of y = mx + c, we can find equation of T as;
140 = -1(80) + c
140 = -80 + c
c = 140 + 80
c = 220
Thus, equation is;
y = -x + 220 - - - (eq 2)
Adding equation 1 to equation 2,we have;
y + y = 220 - 80
2y = 140
y = 140/2
y = 70
Putting 70 for y in eq 1 gives;
70 = x - 80
x = 70 + 80
x = 150
Thus;
Coordinate of the new library is (150, 70)
12:(3)(2)(2)
36:(3)(3)(2)(2)
GCF:12
Answer: The vertex is the minimum value
The function is increasing when x<1
The function is decreasing when x>1
The domain of the function is all real numbers
The range of the function is all numbers less than it equal to 0
Step-by-step explanation:
