Answer:


Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.

In this case:

Open Bracket



Collect Like Terms


Solving using quadratic formula:

So:
 or
 or 
Since, x can't be negative, then:

One of the leg is:






 
        
             
        
        
        
Answer:
-1280
Step-by-step explanation:
Given a₁ = -10, n = 8, r =2 
Required to find nᵗʰ term. 
From the general formula: aₙ= a₁ (r)ⁿ⁻¹ 
Therefore nᵗʰ = -10(2)⁸⁻¹
 = -10(2)⁷
 = - 10(128)
 = - 1280
 
        
             
        
        
        
X times 0.05 = $50 
Solve for x 
We do the inverse of times which is divide 
$50 divide by 0.05 = $1000 
Thus, $1000 is the amount of loan.
        
                    
             
        
        
        
Answer:
<h2><u>
y = -2x</u></h2>
Step-by-step explanation:
If you notice very carefully then you will see that the line passes through the points :
( 1 , - 2 )
( - 1 , 2 )
Hence the value of x = 1 when the value of y = - 2 .
We know that - 2 × 1 = - 2
⇒ - 2 x = y
⇒ y = - 2x
Hence the first OPTION is correct .
Verification :
For points ( - 1 , 2 ) we can write :
y = - 2x
⇒ 2 = - 2 × - 1
⇒ 2 = 2
Hence the answer is verified .
Always try to use the converse of the graphical method .
( Nothing converse is there ... just saying the opposite steps of that method :P )
I mean in graphical method we plot points and then join , here identify the joined points and then make the equation .
 
        
             
        
        
        
Simplifying-
 (6d^2)(-7d)=
= -(42d^2)(d)
=-42d^3