Answer:
(19 , -14)
Step-by-step explanation:
Find the distance in between each x & y for a coordinate.
Let: (x₁ , y₁) = (-1 , 2)
Let: (x₂ , y₂) = (9 , -6)
From x₁ ⇒ x₂: 9 - (-1) = 10
From y₁ ⇒ y₂: -6 - 2 = -8 = 8*
*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.
The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:
(9 (+ 10) , -6 (- 8)) = (19 , -14)
Endpoint 2 = (19 , -14)
~
Answer:
D. 5/13
Step-by-step explanation:
Cosin is adjacent/hypotenuse so, the adjacent would be 5 and the hypotenuse is 13 since it is the longest side. This is viewed from angle B.
So,
53,879 rounded to the nearest hundred:
If the number in the tens place is greater than or equal to 5, then round up. If not, round down.
7 is greater than or equal to 5, so round up.
53,879 --> 53,900
The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
<h3>
What is Inequalities?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, Suppose number is x
1) The square of the product of 5 and a number is not less than 46.
Step 1
Product of 5
5x
Step 2
Square of product of 5
(5x)²
Step 3
A number is not less than 46
(5x)² ≥ 46
2) The sum of square of a number and five times that number is not more than 46
Step 1
Square of a number
x²
Step 2
Five times that number
5x
Step 3
The sum = x² + 5x
Step 4
Is not more than 46
x² + 5x ≤ 46
3) The product of 5 and the square of a number is greater than 46
Step 1
The square of a number
x²
Step 2
The product of 5
5x²
Step 3
Is greater than 46
5x² > 46
Thus, The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
Learn more about Inequality from:
brainly.com/question/20383699
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Answer:
Gets smaller
Step-by-step explanation:
- The standard deviation is the quantification of spread of data. According to descriptive statistics the standard deviation s is given by:
s = Σ ( x - u ) / sqrt ( n )
Where, n : sample size
u : Mean value
- So we see that standard deviation (s) is inversely proportional to square root of sample size (n).
- We can see that as sample size (n) increases the standard deviation (s) decreases.