Answer:
area of a rectangle = 4(length × width)
 
        
             
        
        
        
Answer:
(Missing part of the question is attached)

Estimates are too large.
Step-by-step explanation:
Suppose the only information we know about the function is:

where the graph of its derivative is shown in the attachment
<h3>(a)</h3>
If the function  is differentiable at point
 is differentiable at point  , the tangent line to the graph of
 , the tangent line to the graph of  at 1 is given by the equation:
 at 1 is given by the equation:

So we call the linear function:

We know the  as it is given in the question, and
 as it is given in the question, and  from the graph attached. Substitute in the equation of
 from the graph attached. Substitute in the equation of  .
.

<h3>(b)</h3>
At x=1,   is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve
 is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve  . Thus, The estimates are too large.
. Thus, The estimates are too large.
 
        
             
        
        
        
Answer:
8.60 units (3 s.f.)
Step-by-step explanation:
The distance between 2 points is given by the formula:

Thus using the above formula,
Distance between (-10, 9) and (-5, 2)

 
        
             
        
        
        
Answer:

Step-by-step explanation:
Given
One-eighth times three-elevenths
Required
Solve
One-eighth means 1/8
Three-elevenths means 3/11
So, mathematically; the above expression is represented as thus:

To solve this, we simply multiply the numerator and the denominator together.
After multiplying these together, the next is to check if the resulting can be simplified 
If yes,we simplify it and if otherwise, we live it like that.
So,



At this point, the fraction can't be simplified any further.
Hence, 

 
        
             
        
        
        
Answer:
common ratio=0.5, a1= 0.08
Step-by-step explanation:
r=a3/a2
r=a4/a3
compare both we get:
a3/a2=a4/a3
subtitute a2=0.04 and a4=1
a3/0.04=1/a3
(a3)^2=0.04*1
(a3)^2=0.04
taking square root in both sides
a3=0.02
For r, r=a3/a2
subtitute a3 and a2 above
r=0.02/0.04
r=0.5 common ratio
For a1 
r=a2/a1
0.5=0.04/a1
a1=0.04/0.5
a1=0.08