To determine the number of subjects that are needed for the experiments, we multiply the number of independent variables with the number of scores. For example, there are n independent variables then, there are approximately,
number of subjects = 20 x n = 20n
Angles in a triangle add up to be 180 degrees. 2x+3x+5x= 180
10x=180
x=18
2(18) = 36
3(18) = 54
5(18)= 90
Answer:
see explanation
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 3, y - 2 )
This means subtract 3 from the original x- coordinates and subtract 2 from the original y- coordinates, that is
A(5, 3 ) → A'(5 - 3, 3 - 2 ) → A'(2, 1 )
J(5, - 1 ) → J'(5 - 3, - 1 - 2 ) → J'(2, - 3 )
X(1, - 1 ) → X'(1 - 3, - 1 - 2 ) → X'(- 2, - 3 )
Z(2, 4 ) → Z'(2 - 3, 4 - 2 ) → Z'(- 1, 2 )
Plot these points and that is the image of AJXY
Equation 1) 2x - 3y = -1
Equation 2) y = x - 1
We want both equations to be in standard form (Ax+By=C) so we need to fix the second equation.
For the second equation, simply subtract x from both sides, so that x & y are on the same side of the equal sign :)
2) -x + y = -1
1) 2x - 3y = -1
Now, we have to multiply ALL of equation 2 by 2 so that both equations 1 & 2 have "2x" in them :)
2) 2(-x + y = -1)
Simplify.
2) -2x + 2y = -2
1) 2x - 3y = -1
Now, add these equations together.
-y = -3
Divide both sides by -1.
y = 3
Now, plug in 3 for y in the first equation.
1) 2x - 3y = -1
2x - 3(3) = -1
Simplify.
2x - 9 = -1
Then, add 9 to both sides.
2x = -1 + 9
Simplify.
2x = 8
Divide both sides by 2.
x = 4
So, x = 4 & y = 3
~Hope I helped!~