Answer:(7x3)+(4x24)=117
Step-by-step explanation:
Since he needs 3 feet of wood and it is 7 dollar per foot, you need to multiply 7 by 3. Since he needs 4 pieces of glass and its 24 dollars per glass multiply 4 by 24. Add the products. Ur done!
 
        
                    
             
        
        
        
Answers: 
a = 2
b = 3
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Explanation: 
Plug in x = 0 and y = 2 to find that
y = a*b^x
2 = a*b^0
2 = a*1
2 = a
a = 2
Then plug in x = 3 and y = 54 to determine the value of b
y = a*b^x
y = 2*b^x
54 = 2*b^3
2b^3 = 54
b^3 = 54/2
b^3 = 27
b = (27)^(1/3)
b = 3
So we have y = a*b^x update to y = 2*3^x
 
        
             
        
        
        
Answer: ( 0, 2 )
Step-by-step explanation:
You have to put coordinates of each graph on these equations y = -x + 2 and y = (1/2)x + 2. If putting coordinates satisfies both equations, then that coordinate will be the solution.
For example, let's put (0, 2) to equations.
y = -x + 2 
2 = -0 + 2
2 = 2, true
y = (1/2)x + 2
2 = (1/2) × 0 + 2
2 = 2, true
So, ( 0, 2 ) is the solution.
 
        
                    
             
        
        
        
Answer:
Lines stay parallel or overlap
Step-by-step explanation:
AB and CD are parallel lines
Rotation around a point 90 degrees clockwise will make these lines perpendicular to their initial position but AB and CD will still be parallel to each other
They will overlap if the distance between them and point E is equal
Their initial slope is same and equal to m
Their final slope will be -1/m as a result of 90 degrees rotation
 
        
             
        
        
        
<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

<h2>
Explanation:</h2><h2 />
First of all, let's calculate the area of the original rectangular garden:

Jake wants to increase the area by 50%, so the new area would be:

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

Finally:
<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

<h2>Learn more:</h2>
Dilation: brainly.com/question/10945890
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