The quantity q varies inversely with the square of m and directly with the product of r and x. when q is 2.5, mis 4 and the
product of r and x is 8. what is the constant of variation?

The constant of proportionality is 5.

Step-by-step explanation:

If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is

When q=2.5, m= 4 and the

product of rx = 8.

We plug in this values to get;

Multiply both sides by 2

The constant of proportionality is 5.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2