Answer:
42
Step-by-step explanation:
SST = ∑
(
y
−
¯
y
)
² (¯
y = mean of y values)
¯
y = (5+8+14)/3 = 27/3 = 9
∑
(
y
−
¯
y
)
² = (
5
−
9
)
² + (
8
−
9
)
² + (
14
−9
)
²
= ( −
4
)
² + ( −
1
)
² + (
5
)
²
= 16 + 1 + 25
= 42
Answer: 
Step-by-step explanation:
We know the property of derivative: 
Given function : 
Differentiate both sides with respect to x , we get
[By Chain rule]
[Since 
, where a is scalar and 
]
Hence, the derivative of the given function is .
Sin 30 = 1/2
tan 45 = 1
Cosec 60 = 2 / √3 = 2√3 / 3
cot 45 = 1
Cos 60 = 1/2
sec 30 = 2 / √3 = 2√3 / 3
_______________________________
[ 1/2 + 1 - 2√3/3 ] ÷ [ 1 + 1/2 - 2√3/3 ] = <em>1</em>
The face and denominator of the fraction are exactly the same thus the answer is 1 .
Answer:
4 = x
Step-by-step explanation:
x³ - 5 = 59 Add five to both sides of the equation.
x³ = 64 Now find the cubed root of 64
∛64 = 4
x = 4
Answer:
The possible y-coordinate of point C is 6
Step-by-step explanation:
The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.
Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.
The area of a triangle = 1/2 × base × height
6 = 1/2 × 3 × height
height = (2 × 6) / 3 = 4 units
Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2
The coordinate of point C is either (-1, 6) or (-1, -2)
