A’B’C’D’ is obtained by translating ABCD 3 units to the right (i.e. a positive translation of 3 units along the x axis) and 5 units down (i.e. a negative translation of 5 units along the y axis).
So, in order to go back to ABCD, we have to invert both translation: we have to go 3 units to the left (i.e. a negative translation of 3 units along the x axis) and 5 units up (i.e. a positive translation of 5 units along the y axis).
Answer:// Solve equation [1] for the variable y
[1] y = 2x - 3
// Plug this in for variable y in equation [2]
[2] -2•(2x-3) + 2x = 2
[2] - 2x = -4
// Solve equation [2] for the variable x
[2] 2x = 4
[2] x = 2
// By now we know this much :// Solve equation [1] for the variable y
[1] y = 2x - 3
// Plug this in for variable y in equation [2]
[2] -2•(2x-3) + 2x = 2
[2] - 2x = -4
// Solve equation [2] for the variable x
[2] 2x = 4
[2] x = 2
// By now we know this much :
y = 2x-3
x = 2
// Use the x value to solve for y
y = 2(2)-3 = 1
y = 2x-3
x = 2
// Use the x value to solve for y
y = 2(2)-3 = 1
Step-by-step explanation:
Answer:
<em> 1,407</em>
<em>x 14</em>
<em>_______</em>
<em> 5,628</em>
<em>+ 1,4070</em>
<em>______</em>
19,698
<em>The two partial products are 5,628 and 14,070</em>
Answer:
C
Step-by-step explanation:
14 : 16
7 : 8
boys : girls
Answer:
Short leg = √3 cm
Step-by-step explanation:
the opposite angle of long leg is 60°
hypotenuse : x
sin 60° = 3/x = √3 / 2
x = (3 x 2) / √3 = 2√3
short leg length (s)
Cos 60° = 1/2 = s / x = s / 2√3
s = √3
