The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
<h3>
How to rotate the triangle?</h3>
The coordinates of RST are given as:
R = (5,15)
S = (15,15)
T = (10,5)
The rule of 90° counterclockwise around the origin is:
(x,y) -> (-y,x)
So, we have:
R' = (-15,5)
S' = (-15,15)
T' = (-5,10)
Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
Read more about rotation at:
brainly.com/question/4289712
#SPJ1
Answer:
Option D 
and 
Step-by-step explanation:
step 1
<u>Find the equation of the inequality A</u>
we know that
The solution of the inequality A (dashed line) is the shaded area below the dashed line
The equation of the dashed line is 
therefore
The equation of the inequality A is
step 2
<u>Find the equation of the inequality B</u>
we know that
The solution of the inequality B (solid line) is the shaded area below the solid line
The equation of the solid line is 
therefore
The equation of the inequality B is
The system of linear inequalities is
and
Answer:
m = 8
Step-by-step explanation:
-3m - 4 = -28
+4 +4
-3m = -24
÷-3 ÷-3
m = 8
Answer:
It takes 5 days to process an application.
Step-by-step explanation:
We have that number of requests per month would be equal 1600
Now, the applications in hand would be:
160 + 240 = 400
They tell us that everything must be in a number of 20 business days, therefore, the number of applications in one day would be:
1600/20 = 80
Which means that the time needed to finish an application is:
400/80 = 5 days
It takes 5 days to process an application.
I worked them out separately if I'm correct, then the order is:
x+5y=-2
x+5y=4 These are Inconsistent
y=3x+4
-2x+y=4 These are Consistent independent
3x+y=4
-6x-2y=-8 These are coincident
Inconsistent lines=No solution
Coincident lines=exactly on top of each other
Consistent Independant= Solution, as they cross each other.
~Hope this helps!
