Answer:
 .
.
 .
.
Step-by-step explanation:
Let  ,
, , and
, and  be scalars such that:
 be scalars such that:
 .
.
 .
.
 .
.
The question states that  . In other words:
. In other words:
 .
.
 .
.
 .
.
Make use of the fact that  whereas
 whereas  .
.
 .
.
 .
.
The question also states that the scalar multiple here is positive. Hence,  .
.
Therefore:
 .
.
 could also be expressed in terms of
 could also be expressed in terms of  and
 and  :
:
 .
.
 .
.
Equate the two expressions and solve for  and
 and  :
:
 .
.
 .
.
Hence:
 .
.
 .
.
 
        
             
        
        
        
Answer:
The 4th one
Step-by-step explanation:
-3-(-8)=5
 
        
             
        
        
        
Answer:
The line passing through (-8, 10) and (-1, 4).
Step-by-step explanation:
Two lines are perpendicular if the product of their slopes is -1. The slope of the line in the picture is  , so we should find a line with slope of
, so we should find a line with slope of  .
.
Note that the slope of the line in the last option is  .
.
 
        
             
        
        
        
       2b                     2a
----------------- +  -----------------
   (b+a)^2            (b^2 - a^2)
            2b                     2a
= ----------------- +  -------------------
      (b+a)(b+a)         (b+a)(b-a)
         2b(b - a) +  2a(b + a)
= ------------------------------------
           (b+a)(b+a)(b-a)
         2b^2 - 2ab  +  2ab + 2a^2
= ---------------------------------------
           (b+a)(b+a)(b-a)
         2b^2 + 2a^2
= ------------------------
        (b+a)(b+a)(b-a)
         2(b^2 + a^2)
= ------------------------
        (b+a)^2 (b-a)
Answer:
Numerator:        2(b^2 + a^2)
Denominator:    (b+a)^2 (b-a)
        
             
        
        
        
Hello!
First of all let's find the perimeter (circumference) of the semi circles. We can combine them to make one circle with a diameter of 4 (as we can see the side length of one semi circle is 4 cm. We now plug it into the circumference equation (

=3.14).
4(3.14)=12.56
Now we add up the side lengths of the rectangle.
4+6+4+6=20
Now we add up the length of our circle and rectangle.
20+12.56=32.56
Therefore our answer is 
32.56 cm.
----------------------------------------------------------
Now to find the area! If we combine the two semicircles, we get a circle with a diameter of four. This means that is has a radius of two. We use the equation below to find the area of the two circles.
A=

r²
First we will square our radius.
2(2)=4
Now we multiply by pi.
4(3.14)=12.56
Now we need to find the area of the rectangle.
6(4)=24
Now we add.
24+12.56=
36.56.
 I hope this helps!