Answer:
x = 40
Step-by-step explanation:
If you add the total of 3 angles in a STRAIGHT line, you have to get 180 in total.
So, x = 180 - ( 80 + 60 )
= 180 - 140
= 40
Answer:
Axis Of Symmetry: x = 0
Vertex: (0, -6)
Domain: (
−
∞
,
∞
)
,{x
|
x
∈
R
}
Range: [
−
6
,
∞
)
,
{
y
|
y
≥
−
6
}
Points of intersection are (0,0),(0,8),(10,0),(4,6) plugging them into the equation you get 0,24,10,22. I don't know if you're looking for max value or min value.
Answer:
2/3
Step-by-step explanation:
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)
