Answer:
Step-by-step explanation:
w= 1
/4 or w= −1/
2
Answer:
length is 3 units longer than the width.
Step-by-step explanation:
You can calculate the length and width of the rectangle by finding the difference between the x coordinates of the vertices and the y coordinates of the vertices, respectively
length = 4 - (-1) = 5
width = 5 - 3 = 2
So the length is 5 - 2 = 3 units longer than the width.
Answer:
Step-by-step explanation:
a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23
so a= -2 ,b= -23
b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=
2+V69/9=2+V23/3
c=2, d= 23/3
Answer:
The correct option is B) 12.
Step-by-step explanation:
Consider the provided information.
Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.
As we know: 
,
The rate of pump X is 
of the water is pumped out of the tank, that means only 
is left to be pumped out.
All 3 pumps pumped out the remaining of the water out in 3 hours.
The combined rate of all three pumps is: 
Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.
The rate of pump Y = 
Let z is the time taken by pump Z, then the rate of pump Z is 
.
Therefore,
Multiplying both sides by 24 z.
Hence, the correct option is B) 12.
Answer:
Width of rectangle = 4 ft
Step-by-step explanation:
Given:
Area of rectangle = 48 ft²
Length of rectangle = 3[Width of rectangle]
Find:
Width of rectangle
Computation:
Assume;
Width of rectangle = a
So,
Length of rectangle = 3[Width of rectangle]
Length of rectangle = 3a
Area of rectangle = l x b
48 = 3a x a
3a² = 48
a² = 16
a = 4
Width of rectangle = 4 ft
Length of rectangle = 3[Width of rectangle]
Length of rectangle = 3[4]
Length of rectangle = 12 ft
