Answer:

Step-by-step explanation:
Solve for the value of
:

-Combine both
and
by subtracting
by
:


-Subtract
to both sides:


-Divide both sides by
:


So, the value of
is
.
Answer:
The sum of a and b is 12.
Step-by-step explanation:
Try drawing this figure. ABCD would actually be a triangle, rather than the common quadrilateral you would expect - considering there are 4 points plotted. Therefore, we would have to find the distance between respective points ( 0, 1 ) and ( 2, 5 ) / ( 2, 5 ) and ( 7, 0 ) / ( 0, 1 ) and ( 7, 0 ). Let's apply the distance formula and calculate the distance between each point, therefore determining the perimeter.
Distance between points ( 0, 1 ) and ( 2, 5 )
= 
= 
= 
=
= 
Distance between points ( 2, 5 ) and ( 7, 0 )
= 
= 
= 
=
= 
And you can calculate the distance between points ( 0, 1 ) and ( 7, 0 ) to be exactly
as well. Therefore, you can say that the perimeter of this triangle is
=
. Note that this is similar to the form we are given. Thus, a = 10, and b = 2 - making it's sum 10 + 2 = 12.
121.5 in. You divide 729 by 6 because their are 6 faces of the cube.
Answer:
Option 4 ) Area = 24 cm²
Step-by-step explanation:
Area of Triangle = 
<u><em>Where Base = 8 cm, Height = 6 cm</em></u>
Area = 
Area = 48 / 2
Area = 24 cm²