1) if y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.
2) if y varies directly as x, and y=15 as x=-3, find y for the x value of 4

Part 1) y=6

Part 2) y=-20

Step-by-step explanation:

Part 1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

we have

For x=-2, y=3

Find the value of the constant k

substitute the values of x and y

The equation is equal to

so

For x=-1

substitute in the equation and solve for y

Part 2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

we have

For x=-3, y=15

Find the value of the constant k

substitute the values of x and y

The equation is equal to

so

For x=4

substitute in the equation and solve for y

ur mom

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it