Answer:




Step-by-step explanation:
The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).
The transformation rule for 90° counterclockwise rotation is

This implies that:




This is followed by a translation 3 units to the right.
This also has the rule: 




Therefore:




The answer should be 299/52=almost 6 hours.
First simplify the one inequality, 6r + 30 greater than or equal to 12 just divide by 6 then subtract 30 from both sides of the inequality. You should get r is greater than or equal to -3. For this one you need to reverse the inequality symbol then divide both sides by -1 to get a positive r, and you get r is less than -12. It's not A because there's two solutions, and it's not D for the same reason. It's not C because r isn't greater than -12. In conclusion it's B because it correctly represents the solutions that make the inequality true. I hope this helps you on your high school application :)
The standard equation of a circle with centre (xc,yc) and radius R is given by

Substituting
centre (xc,yc) = (4,-3)
R=2.5
The equation is therefore



or
(x-4)^2+(y+3)^2=6.25
Answer:
or ![(-\infty, 47/6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2047%2F6%5D)
Step-by-step explanation:
Note that
.
Also, note that
.
So, the inequality is really equal to
.
We can then add
to both sides to get
.
So, the solution is
, or in interval notation, ![(-\infty, 47/6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2047%2F6%5D)