Rotations, reflections, translations, and dilations are all different types of transformations. Rotations rotate or turn the shape around the axis. Reflections mirror the shape across the axis. Translations move the shape up, down, left, or right. Dilations make the shape a different size.
Answer: 
Step-by-step explanation:
1. To solve simplify the expression given in the problem, you must apply a property of exponents called Quotient of powers, which states that when you divide two powers that have the same base, you must subtract the exponents.
2. Keeping this property on mind, you can rewrite the expression as following and simplify:

Answer:
the answer is 200
Step-by-step explanation:
We can write 1/10 of 200 in the form of equation as follows:
\frac{1}{10} * 200 = x
Where x represents that number we want to find.
so the answer is 20
Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0
And please include the instructions.
2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0
Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0
Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0
Then (x+(1/4))^2 = (1/4)^2
Taking the sqrt of both sides: x+1/4 = plus or minus 1/4
Solving for x: x = -1/4 plus or minus 1/4
Solving for x (continued): x = 0 and x = -1/2
Answer:
-4
Step-by-step explanation:
2x + 5 = 85
2x = 80
x = 40
3x/(10-x)
3(40)/(10-40)
120/-30 = -4