Answer:
.
Step-by-step explanation:
The minimun distance between a point and a plane is the perpendicular distance. The formula is 
d = 
where 
, A=4, B=3, C=1 and D=-10. So, the distance is 
d = 
d =  
d = 
.
 
        
             
        
        
        
Answer:
y=9x+2
Step-by-step explanation:
The standard form for a linear equation is y=mx+b. m=9 since it is slope and b=2 which is the y intercept. So the equation would be y=9x+2.
 
        
             
        
        
        
Answer:
53
Step-by-step explanation:
Let x be the number of children tickets sold and y be the number of adult tickets sold. Then
x+y=128.
The cost of x children tickets is $5.10x and the cost of y adult tickets is $9.70y, so
5.10x+9.70y =896.60.
From the first equation,
x=128-y,
then

53 adult tickets were sold.
 
        
             
        
        
        
The volume of the pyramid would be 2406.16 cubic cm.
<h3>How to find the volume of a square-based right pyramid?</h3>
Supposing that:
The length of the sides of the square base of the pyramid has = b units
The height of the considered square-based pyramid = h units,
The pyramid below has a square base.
h = 24.4 cm
b = 17.2 cm
Then, its volume is given by: 


Therefore, the volume of the pyramid would be 2406.16 cubic cm.
Learn more about pyramid;
brainly.com/question/20324485
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It cannot be simplified...