Answer:
The slope of the line is 
⇒ B
Step-by-step explanation:
Let us revise the rule of the slope
The rule of the slope of the line is m = 
, where
- (x1, y1) and (x2, y2) are two points lie on the line
∵ The line passes through the point (-3, 1) and point (4, -2)
→ That means one of them is (x1, y1) and the other is (x2, y2)
∴ x1 = -3 and y1 = 1
∴ x2 = 4 and y2 = -2
→ Substitute them in the rule of the slope above to find it
∵ m = 
= 
∴ m =
∴ The slope of the line is
The dataset 78 is an outlier of the dataset
<h3>How to determine the true statement about the outlier?</h3>
The dataset is given as:
1, 12, 13, 15, 18, 20, 35, 37, 40, 78
Where
Q1 = 13
Q3 = 37
The boundaries of the outliers are given as:
L = Q1 - 1.5 * (Q3 - Q1)
U = Q3 + 1.5 * (Q3 - Q1)
Substitute the known values in the above equation
L = 13 - 1.5 * (37 - 13) = -23
U = 37 + 1.5 * (37 - 13) = 73
This means that the data elements outside the range -23 to 73 are outliers.
78 is outside this range
Hence, 78 is an outlier of the dataset
Read more about outliers at:
brainly.com/question/3631910
#SPJ1
The difference between the y-coordinates is 7 units. If the area is to be 42 square units, the missing coordinates must be 42/7 = 6 units to the right of those shown.
B = A +(6, 0) = (-4, 4) +(6, 0) = (-2, 4)
D = C +(6, 0) = (-4, -3) +(6, 0) = (-2, -3)
The appropriate choice is the last one, ...
(-2, 4) and (-2, -3)
Answer:
The answer is 9in.
Step-by-step explanation:
To solve this problem, you must use the Pythagorean Theorem.
Since we already have the Hypotenuse (
), which is 15in, we must solve the following:
+ 
= 
Now, we find that = 225, so we subtract that from , which is 114.
Then, that leaves us with 81, and the sqaure root of 81 is 9, which is your answer.
