Answer:
d)X=4 or x=-2
Step-by-step explanation:
X²-2x=8
X²-2x-8=0
(x-4)(x+2)=0
X-4=0 or x+2=0
X=4 or x=-2
 
        
                    
             
        
        
        
Answer:
6
Step-by-step explanation:
Solve x then y after.. 
 
        
             
        
        
        
Answer: The distance across a rectangular field is longer distance.
So, Perimeter of rectangle would be 120 yards.
Diagonal of square would be 56.56 yards.
 
        
             
        
        
        
Answer:
The answer to your question is the letter C
Step-by-step explanation:
Data
a = 4.5 u
b = 5.8 u
c = 3 u
Process
1.- Calculate the volume of the rectangular prisms
Formula
Volume = a x a x c
Substitution
Volume = 4.5 x 4.5 x 3
Result
Volume = 60.75 u³
But there are two rectangular prism
Total volume = 2 x 60.75
                       = 121.5 u³
2.- Calculate the volume of the triangles
Formula
Volume = base x width x height
Substitution
Volume = 5.8 x 3 x 4.5
Result
Volume = 78.3 u³
3.- Total volume
Volume = 121.5 + 78.3 
              = 199.8 u³
 
        
             
        
        
        
9514 1404 393
Answer:
Step-by-step explanation:
The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...
   r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours
__
a) After 4 hours, the amount remaining is ...
   r(4) = 1450·0.75^4 ≈ 458.79 . . . mg
About 459 mg will remain after 4 hours.
__
b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...
   r(t) < 5
   1450·0.75^t < 5 . . . . use the function definition
   0.75^t < 5/1450 . . . . divide by 1450
   t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)
   t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t
   t > 19.708
It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.