Answer:
The answer to your question is:
a) Letter B
b) Letter D
Step-by-step explanation:
a)   | x | + 3 < 10
Formula
                | x | < a      ⇒        - a < x < a
              
                | x | + 3 < 10
                 | x |  < 10 - 3
                |x | < 7          solution             - 7 < x < 7
                                     or              -7 < x and  x < 7    Letter B
b) it must be letter D x < 4 and x < 1
 
 
        
             
        
        
        
Answer:
The slope of the line is 
Step-by-step explanation:
For any line  , a line that is perpendicular to it is
, a line that is perpendicular to it is  .
. 
Therefore the slope of the perpendicular line is  .
.
For our case  therefore the slope of the prependicular is the reciprocal of
 therefore the slope of the prependicular is the reciprocal of  multiplied by
 multiplied by 

 
        
             
        
        
        
Answer:
2x3=6 and that the number of frogs heather has or you can do this Ava has 2 frogs and heather has 1/3 more then take the 2 and add it to the 1 and that makes three. then take both of the threes and add them together and you then have the same number of 6
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then  x₁ > x₂
 
        
             
        
        
        
Answer:
$54.51
Step-by-step explanation:
an easier way to do this is simply by multiplying 47.40x115%, which is 54.51. 
another way to do this is by multiplying 47.40x15%, which is 7.11, then you'll have to added to 47.4, which gives you the same answer of 54.51