Answer:
y = 3/2 x - 11
Step-by-step explanation:
y = -2/3 x + 5; slope = -2/3
Perpendicular line, slope is reciprocal and opposite so slope of the line that is perpendicular to the y = -2/3 x + 5 is 3/2
Passes through (8,1)
Equation
y -1 = 3/2 (x - 8)
y - 1 = 3/2 x - 12
y = 3/2 x - 11
Answer: B.
Step-by-step explanation: B is the only option that provides the division symbol.
Answer:
Step-by-step explanation:
Base + 4 triangles
(18.4)(27.6) + 2(½×27.7×17.6) + 2(½×18.4×20.4)
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
It would be 150,000,000,000