Answer:
1. n=2
2. n=12
3. n=2
Step-by-step explanation:
1
12xy³/4xⁿy=3y²/x
12x²y³=12y³xⁿ (cross multiplied)
x²=xⁿ (cancelled out (12y³))
2=n
2
(-3a/2b⁴)³=-27a³/8bⁿ
-27a³/8b¹²=-27a³/8bⁿ (cubed left side)
-216a³bⁿ =-216a³b¹² (cross multiplied)
bⁿ=b¹² (cancelled out (-216a³))
n=12
3
(xy⁶/x⁵yⁿ)²=y⁸/x⁸
x²y¹²/x¹⁰y²ⁿ=y⁸/x⁸ (squared left side)
x²y¹²/x¹⁰y²yⁿ=y⁸/x⁸
y¹⁰/x⁸yⁿ=y⁸/x⁸ (simplified)
y¹⁰x⁸=x⁸yⁿy⁸ (cross multiplied)
y²=yⁿ (cancelled out (x⁸), simplified)
n=2
Answer: 
Step-by-step explanation:
By definition, a Translation is a transformation that moves an object a fixed distance. In Transalation the size, shape and orientation of the object don't change.
The translation of a point 
"a" units right and "b" units up is:
In this case we know that the coordinates of A of the Triangle ABC is A(-2, -3) and the Triangle ABC is translated 1 unit right and 3 units up. Therefore, the the coordinates of A' are:
If two angles are supplementary, then they add up to 180.
Angle 1 = twenty less than four times the other angle
Angle 2 = the other angle
Angle 2 = 1x
Angle 1 = 4x - 20
Next, we can add up angles 1 and 2 and set the sum equal to 180.
x + 4x - 20 = 180
5x - 20 = 180
5x = 200
x = 40
Now that we know x, we can find the values of our angles.
Angle 1 = 4(40) - 20 = 160 - 20 = 140 degrees
Angle 2 = 40 degrees
Hope this helps!! :)
Answer:
Step-by-step explanation:
Slope= y2-y1/x2-x1
12 - -6= 18
-5 - -1= -4
Slope = -18/4
Hello! The question simplified is 4x + 14. This is because when you have a negative symbol in front of the numbers you need to distribute, you change the numbers inside into the opposites, and then multiply by -1. When you do this, you get 3 + 4x + 5 + 6. When you combine like terms, you get 4x + 14. The answer is B: 4x + 14.
