Answer:
Part a) Option d
Part b) Option a
Step-by-step explanation:
Part a
if we look at the options given and the data available
Option a) x^4+9
Putting x= 2 we get (2^4) + 9 =25
Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option
Option b) (4^x)+9
Putting x= 2 we get (4^2) + 9 =25
Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option
Option c) x^5
Putting x= 2 we get (2^5) =32 but f(x) =25 so not correct option
Option d) 5^x
Putting x= 2 we get (5^2) =25
Putting x= 3 we get (5^3) =125
Putting x= 4 we get (5^4) =625
So Option d is correct.
Part (b)
3(2)^3x
can be solved as:
=3(2^3)^x
=3(8)^x
So, correct option is a
Answer:

Step-by-step explanation:
A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,
From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .
We know the area of square as ,
Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .
Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,
Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .


Hence the TSA of cuboid in terms of lenght and breadth is :-


Taking commen 2 in RHS
p = 2 (L+W )
Divide by 2 on both sides.
p/2 = L+W
Subtract W on both sides.
p/2 - W = L
or L = p/2- W
HOPE IT HELPS YOU
Answer:
Y=-3/4x + 10
Step-by-step explanation:
slope m = - 2 → B
calculate m using the ' gradient formula '
m = (y₂ - y₁)/(x₂ - x₁)
choosing 2 'clear ' coordinates from the graph of the line
(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5
) =
= - 2
m =