Answer:
X = 5
Step-by-step explanation:
3x + 12 + 9x = 72
okay hopefully i can explain so when your doing this combine like terms so
3x + 9x = 12x
12x + 12 = 72
then you would subtract both sides by 12
+12 = subtract x+12=2
- 12 = add x-12=2
there just flipped so in this case i would subtract 12
12x + ( 12-12) = ( 72-12 )
so 12-12 = 0 and 72-12 is equal to 60
12x = 60
the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5
so X = 5
hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps
Answer:
Therefore, we conclude that the probability is P=0.3456.
Step-by-step explanation:
We know that there is a 0.60 probability that a random student at UMSL has watched Game of Gnomes. We calaculate the probability that 3 of 4 students watched Game of Gnomes.
Therefore, we get:
Therefore, we conclude that the probability is P=0.3456.
The <u>correct answer</u> is:
B) A 90° counterclockwise rotation about the origin, followed by a reflection across the x-axis, followed by a translation 8 units right and 1 unit up.
Explanation:
The coordinates of the <u>points of the pre-image</u> are:
(3, 1)
(3, 4)
(5, 7)
(6, 5)
(6, 2)
The coordinates of the <u>points of the image</u> are:
(7,-2)
(4,-2)
(1,-4)
(3,-5)
(6,-5)
A 90° counterclockwise rotation about the origin negates the y-coordinate and switches it and the x-coordinate. Algebraically,
(x,y)→(-y,x).
When this is applied to our points, we get:
(3, 1)→(-1, 3)
(3, 4)→(-4, 3)
(5, 7)→(-7, 5)
(6, 5)→(-5, 6)
(6, 2)→(-2, 6)
A reflection across the x-axis negates the y-coordinate. Algebraically,
(x, y)→(x, -y).
Applying this to our new points, we have:
(-1, 3)→(-1, -3)
(-4, 3)→(-4, -3)
(-7, 5)→(-7, -5)
(-5, 6)→(-5, -6)
(-2, 6)→(-2, -6)
A translation 8 units right and 1 unit up adds 8 to the x-coordinate and 1 to the y-coordinate. Algebraically,
(x, y)→(x+8, y+1).
Applying this to our new points, we have:
(-1, -3)→(-1+8,-3+1) = (7, -2)
(-4, -3)→(-4+8,-3+1) = (4, -2)
(-7, -5)→(-7+8,-5+1) = (1, -4)
(-5, -6)→(-5+8,-6+1) = (3, -5)
(-2, -6)→(-2+8,-6+1) = (6, -5)
These match the coordinates of the image, so this is the correct series of transformations.
