Answer:
-0.5
Step-by-step explanation:
- slope=rise/run or y/x in other words(y2-y1/x2-x1)
- (y2-y1) is 3-2 so y2-y1=1
- (x2-x1) is 3-5 so x2-x1= -2
- -1/2 or -0.5 would be the slope.
 
        
                    
             
        
        
        
Answer:
120
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.
 
        
             
        
        
        
Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)
 
        
                    
             
        
        
        
The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.
<h3>What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
The volume of the slice is;

If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;
The approximate volume of each slice will be;

Hence, the approximate volume of each slice will be 63.5 inch².
Learn more about the volume here:
brainly.com/question/16788902
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