Answer:
The rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
Step-by-step explanation:
Considering the point
If we reflect a point across the line 
with equation 
, the coordinates of the point P flips their places and the sign of the coordinates reverses.
Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
For example, if we reflect a point, let suppose A(1, 3), across the line with equation , the coordinates of point A flips their places and the sign of the coordinates reverses.
Hence,
A(1, 3) ⇒ A'(-3, -1)
Answer:
see below
Step-by-step explanation:
DB = 9 units (by counting)
BA = 12 units (by counting)
DA can be found by using the pythagorean theorem
a^2 +b^2 = c^2
BD^2 + BA^2 = DA ^2
9^2 +12^2 = DA^2
81 +144 = DA^2
225 = DA ^2
Take the square root of each side
sqrt(225) = sqrt(DA^2)
15 = DA
LJ = 3 units (by counting)
JK = 4 units (by counting)
LK can be found by using the pythagorean theorem
a^2 +b^2 = c^2
LJ^2 + JK^2 = LK ^2
3^2 +4^2 = LK^2
9 +116 = LK^2
25 = LK ^2
Take the square root of each side
sqrt(25) = sqrt(LK^2)
5 = LK
Scale factor from BAD to JKL
15 to 5
Divide each side by 5
3 to 1
We multiply by 1/3 to go from the big to small
P=2(l + b)
P=2l + 2b
P-2b=2l
P-2b/2=l
C is your answer
Answer:
Step-by-step explanation:
First, divide each persons rate by the number of minutes they typed their words in .
you end up with:
Damian: 55 seconds
Howard: 26 seconds
This tells us that Howard was least and <u>Damian was greater. </u>
Hope this helps :)
<span>Two teams are playing basketball. Team 1 scored 3.5 times the number of points per basket. Team 2 scored 8 times the number of points per basket. They would've each scored the same amount of points if Team 1 had scored 54 more points.
Solve:
54+3.5x=8x :Write out the equation
-3.5x -3.5x :Subtract 3.5x from both sides to isolate the variable
54=4.5x :Simplify
/4.5 /4.5 :Divide by 4.5 on both sides
12=x :Answer=12
Next you would find each team's score:
8x= 8(12)= 96 :substitute and solve
Each team score is 96 points
(Note: Since each team score was equal, you don't have to solve for each team, just one and preferably the easier one, and that is the score that each team scored.) </span>
