Answer:
The area of the rectangle is 42 units^2
Step-by-step explanation:
we know that
The area of rectangle is equal to

In this problem 
AB=DC
BC=AD
see the attached figure with letters to better understand the problem
we have that

the formula to calculate the distance between two points is equal to

we have the points

<em>Find out the distance BC</em>
we have

substitute in the formula



<em>Find out the distance AB</em>
we have

substitute in the formula



<em>Find out the area</em>

we have


substitute

 
        
             
        
        
        
Answer:
y + 1 = 4 (x + 3)
Step-by-step explanation:
The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form. 
Hope this helps!
 
        
             
        
        
        
1/2 is written as a decimal as 0.50
        
                    
             
        
        
        
 Let's solve step by step
So all we need to do is simplify the equation 
<span><span>(<span>5x − 8</span>)</span><span>(<span>2x + 4</span>)
</span></span><span>= <span><span>(<span>5x + −8</span>)</span><span>(<span>2x + 4</span>)
</span></span></span><span>= <span><span><span><span><span>(5x)</span><span>(2x) </span></span>+ <span><span>(5x)</span>(4) </span></span>+ <span><span>(−8)</span><span>(2x) </span></span></span>+ <span><span>(−8)</span><span>(4)
</span></span></span></span><span>= <span><span><span><span>10x^2 </span>+ 20x </span>− 16x </span>− 32
</span></span><span>= <span><span><span>10x^2 </span>+ 4x </span>− <span>32
Therefore the simplified form of this is </span></span></span>10x^2 + 4x − 32
Hope this helps! - Alyssa
(Please mark as Brianliest Answer, Thanks)