Urgent ! 1. which best describes the equation y/6=x? a. the relationship shows an inverse variation with a constant of variation of -6 b. the relationship shows an inverse variation with a constant of variation of -1/6 c. the relationship shows an inverse variation with a constant of variation of 1/6 d. the relationship does not show an inverse variation. 2. if y varies inversely with x and y=5 when x=2.5, what is the value of y when x=20? a. 0.1 b. 0.625 c. 0.3125 d. 1.6 3. the current, i, in a circuit varies inversely with the resistance, r. if the resistance is 12 when the current is 3, what is the resistance when the current is 6? a. 1/6 b. 1.5 c. 6 d. 24

(1)

we are given

we can  find for y

multiply both sides by 6

we can see that y is directly proportional to x

so, option-D........Answer

(2)

y varies inversely with x

so, we can write it as

now, we are given

y=5 when x=2.5

so, we can plug it here

and then we can solve for k

now, we can plug back

we can plug x=20

.............Answer

(3)

we are given

The current, I, in a circuit varies inversely with the resistance, R

so, we can write it as

we have R=12 when I=3

so, we can plug it

now, we can solve for k

now, we can plug back

we can plug R=6

................Answer

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: