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:
Multiply the first two binomials: (x+2) & (x+4) using the FOIL method (First, Outer, Inner & Last).
(x+2)(x+4) = x^² + 4x + 2x + 8 = x^² + 6x + 8
Then we multiply the trinomial that we got from the first stage and multiply that by the remaining binomial:
(x^² + 6x + 8) (x + 4)
= x^³ + 4x^² + 6x^² + 24x + 8x + 32
Collect the like terms together to give you:
x^³ + 10x^² + 32x + 32
Answer:
square, anddddddddddddddddd deskkkkkk I thinkjkkkkk
5 cent = 0.05x
<span><span>2 cent </span>= 0.02(x+50)</span>
4 cent = 0.04(2x-10)
0.05x + 0.02(x+50) + 0.04(2x-10)
0.05x + 0.02x +1 + 0.08x -0.4 = 4.35
0.15x +0.6 = 4.35
0.15x = 3.75
X = 3.75 / 0.15 = 25
<span> 25 5 cent stamps (
25*0.05 = 1.25)</span>
25+50 = 75 2 cent stamps ( 75*0.02 = 1.50)
2*25 =50-10 = 40 4 cent stamps ( 40*0.04 =1.60)
1.25 + 1.50 +1.60 = 4.35
5 cent = 25
2 cent = 75
4 cent = 40
Answer:
A
Step-by-step explanation: Your salary will be greater than or equal to $46,000.
