Answer:
x = -2 ±sqrt( 19)
Step-by-step explanation:
x^2 + 4x = 15
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
x^2 + 4x+4 = 15+4
(x+2)^2 = 19
Take the square root of each side
sqrt( (x+2)^2) =±sqrt( 19)
x+2 = ±sqrt( 19)
Subtract 2 from each side
x+2-2 = -2 ±sqrt( 19)
x = -2 ±sqrt( 19)
The square root of 196 is 14.
Therefore, one of the sides is 14 ft.
The perimeter is 14 x 4= 56 feet.
Answer:
X₀ = 71.65
Step-by-step explanation:
given,
mean (μ ) = 64
standard deviation (σ) = 9
σ² = 81
selected candidate are top 20 % candidate
P( X > X₀) = 0.2
P( Z > Z₀) = 0.2
X₀ = 71.65
Hence, the cut off score is equal to X₀ = 71.65
Answer:
Twelve tickets cost $30 --> True
Thirty tickets cost $12 --> False
Each additional costs $2.50 --> True
The table is a partial rep --> True
ordered pairs --> False
Step-by-step explanation:
Twelve tickets cost $30 --> True, you can literally see that in the table
Thirty tickets cost $12 --> False, 30 is not in the table so you don't have that information. Besides, $12 is an unlikely low value for so many tickets.
Each additional costs $2.50 --> True, you can see the difference in the TotalCost column to be consistently 2.50.
The table is a partial rep --> True, values below 11 are not shown for example.
ordered pairs --> False --> Then the x value should be first, e.g., (11, 27.50), since the cost y is a function of the number x.
Answer:
7.21 units
Step-by-step explanation:
GIven data
Point 1= (8,3)
x1= 8
y1= 3
Point 2= (2,7)
x2= 2
y2= 7
The expression for the distance between two points is given as
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((2-8)²+(7-3)²)
d=√((-6)²+(4)²)
d=√36+16
d=√52
d= 7.21
Hence the distance between the points is 7.21 units
