If u have a open circle, then the inequality has no equal sign. But if it is a closed circle, the inequality has an equal sign.
Shading to the left means " less then " .
Shading to the right means " greater then " .
(1) u have an open circle on -7 with shading to the left....
x < -7
(2) u have a closed circle on 4.5 with shading to the left....
x < = 4.5 (thats less then or equal)
(3) u have an open circle on -5 with shading to the right...
x > -5
(4) u have an open circle on 1.5 with shading to the right...
x > 1.5
Number 9 is 1.52 because you divide 15.3 by 10 it will be 1 .52
Assume P(xp,yp), A(xa,ya), etc.
We know that rotation rule of 90<span>° clockwise about the origin is
R_-90(x,y) -> (y,-x)
For example, rotating A about the origin 90</span><span>° clockwise is
(xa,ya) -> (ya, -xa)
or for a point at H(5,2), after rotation, H'(2,-5), etc.
To rotate about P, we need to translate the point to the origin, rotate, then translate back. The rule for translation is
T_(dx,dy) (x,y) -> (x+dx, y+dy)
So with the translation set at the coordinates of P, and combining the rotation with the translations, the complete rule is:
T_(xp,yp) R_(-90) T_(-xp,-yp) (x,y)
-> </span>T_(xp,yp) R_(-90) (x-xp, y-yp)
-> T_(xp,yp) (y-yp, -(x-xp))
-> (y-yp+xp, -x+xp+yp)
Example: rotate point A(7,3) about point P(4,2)
=> x=7, y=3, xp=4, yp=2
=> A'(3-2+4, -7+4+2) => A'(5,-1)
The original points/point c would be (-8,11) bc the y stays the same and the x changes from its original to (in this case) negative to positive
(positive to negative/negative to positive for either the x or y)
hope this helps
Answer:
-102/7 as a mixed number is -14 4/7
Step-by-step explanation: