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)
9514 1404 393
Answer:
Step-by-step explanation:
Add 9 to both sides of the equation, and divide by the coefficient of B.
T = BA -9
T +9 = BA
(T +9)/A = B
We can rewrite that with B on the left:
B = (T +9)/A
Answer:
y = x - 2
Step-by-step explanation:
Parallel lines have the same slope, so the line will also have a slope of 1.
Plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
-1 = 1(1) + b
-1 = 1 + b
-2 = b
Plug in b and the slope into y = mx + b
y = x - 2 is the equation
Steve ran 11 miles
let the distance Steve ran be x
Then distance Kevin ran is x + 4 ( 4 miles more than Steve )
x + x + 4 = 26 ( the sum of their distance is 26 )
2x + 4 = 26 ( subtract 4 from both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Steve ran 11 mies and Kevin ran 11 + 4 = 15 miles
check 11 + 15 = 26
Answer:
Subtract the result of three times five with 1.
Step-by-step explanation:
Subtract the result of three times five with 1.
