Refer to below for answer:
Answer:
The Definition of Inverse Operations
A pair of inverse operations is defined as two operations that will be performed on a number or. variable, that always results in the original number or variable. Another way to think of this is. that the two inverse operations “undo” each other.
Example: Addition and subtraction are inverse operations.
The equation of a circle with radius r and center at point (a, b) is given by
(x - a)^2 + (y - b)^2 = r^2
1.) For the circle given by x^2 + y^2 = 24
(x - 0)^2 + (y - 0)^2 = (√24)^2
Therefore, center = (0, 0) and radius = √24 = 4.9 units
3.) x^2 + y^2 -10x -2y = -10
x^2 - 10x + (-5)^2 + y^2 - 2y + (-1)^2 = -10 + (-5)^2 + (-1)^2
x^2 - 10x + 25 + y^2 - 2y + 1 = -10 + 25 + 1
(x - 5)^2 + (y - 1)^2 = 16
(x - 5)^2 + (y - 1)^2 = 4^2
Answer:
x = 13 1/2 or 13.5
Step-by-step explanation:
Flip Equation
-38 - 12x = -200
-12x -38 = -200
Add 38 to both sides
-12x -38 + 38 = -200 + 38
-12x = -162
Divide
-12x/-12 = -162/-12
x = 27/2
Simplify
27/2 = 13 1/2
x = 13 1/2
Choice A is the answer
Focus on the stem and leaf plot
In row 1 we have 1.6, 1.5 and 1.5
In row 2,we have 2.1, 2.1 and 2.1
In row 3, we have 3.6 and 3.5
So the data values are: 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6
Side Notes:
We can rule out choice B because 3.7 is not a data value (there is no "7" anywhere in the leaves)
We can rule out choices C and D because they aren't even decimal values matching the format mentioned in the key of the stem and leaf plot.
