Answer:
B) Mode doesn't change.
Step-by-step explanation:
Given:
A set of data with 16 being added to the set.
The mode of a given set of data is the data that is repeated the most number of times.
Here, 19 is repeated 3 times, so the mode is 19.
Now, if a number other than that of 19 being added, doesn't affect the mode of the data set as 19 will still be 3 times and adding 16 will not increase its number in the set.
So, the correct option is B.
Answer:
-12
Step-by-step explanation:
(-4) - 8
Keep Flip Change
Keep
(-4)
Flip
- to +
Change to opposite
8 to -8
Result
-4 + -8 = -12
Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.
The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.
Hope this helped!
Answer:
(x - 4)² + (y + 6)² = 5²
Step-by-step explanation:
rearrange the general equation as follows
collect the terms in x and y together and place the constant on the right side
x² - 8x + y² + 12y = - 27
add (half the coefficient of the x/y term)² to both sides
x² + 2(- 4)x + y² + 2(6)y = - 27
(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36
(x - 4)² + (y + 6)² = 25
(x - 4)² + (y + 6)² = 5² ← in standard form
