Check the picture below.
recall that in a square, all sides are equal, so if we make b = a, then we get that for one side, also recall that the area of a rectangle is length*width, so in this case,
According to the properties of inequality, we reverse the inequality symbol when we add or multiply by any negative number
Given inequality is Ax + B > C
In the first step, we subtract B from both sides
Ax + B > C
Ax + B - B > C - B
Ax > C - B
Now to remove A we divide by A on both sides
If A is negative then the reverse the inequality sign
When A is negative then > symbol becomes < symbol
so the inequality symbol be reversed when the value of A is negative
Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
Answer:
8 Feet below the surface
Step-by-step explanation:
If the salmon were initially 5 feet below the surface, and then travelled down an additional 3 feet from the initial 5, then the new position would be 8 feet down relative to the surface.
You can write this as -5 + -3 = -8, assuming that 0 represents surface level.
Cheers.
