Absolute value is always positive because its talking about the real distance or steps to zero and even when you at a negative number it takes real steps to get back to zero.  
 
        
             
        
        
        
Answer:
x = 1/2
Step-by-step explanation:
8x-(4x-3)=5
Distribute the minus sign
8x -4x +3 = 5
Combine like terms
4x+3 =5
Subtract 3 from each side
4x+3-3 = 5-3
4x = 2
4x/4 = 2/4
x = 1/2
 
        
             
        
        
        
The scale factor that Ivory used to create their scaled copy is;
<u><em>Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.</em></u>
- From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals
- Now, from the image, we are told that the area of the scaled copy is 48 square units.
What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.
- Now, if one interval of the graph is x-units, then it means;
length; y-axis = 3x units
width; x-axis = x units
- Area of a rectangle is given by;
Area = Length × width
Thus;
3x * x = 48
3x² = 48
x² = 48/3
x² = 16
x = √16
x = 4
<em>Thus, 1 interval on the graph represents 4 units of the rectangle.</em>
Read more at; brainly.com/question/17182684
 
        
             
        
        
        
Answer:
x=19
Step-by-step explanation:
9*(9+15)=8*(8+x)
9*(24)=8(x+8)
216=8x+64
216-64=8x+64-64
152=8x
152/8=8x/8
19=x
x=19
 
        
             
        
        
        
Answer:
The answer to your question is below
Step-by-step explanation:
Process
To answer if they are right triangles or not use the Pythagorean theorem which states that the square of the hypotenuse equals the sum of the square of the legs.
a)    25² = 20² + 7²
       625 = 400 + 49
      625 ≠ 449               It is not a right triangle
b)   26² = 24² + 10²
       676 = 576 + 100
       676 = 676               it is a right triangle
c)   13² = 8² + (√10)²
      169 = 64 + 10
       169 ≠ 74                  it is not a right triangle
d)   52² = 48² + 20²
       2704 = 2304 + 400
       2704 = 2704               it is a right triangle