We know that the building is 256.25 m long and that a ratio is 25 meters to 1 inch.
We have to divide the length of a building to 25:
256.25 : 25 = 10.25
Answer: The building will be 10.25 inches long in the sketch.

7 0

4 years ago

Given that <br> f(n) = n^2 - 4n + 3 <br> & g(n) = 2n - 1<br> find gf(-2)

icang [17]

Answer:

The value of $gf\left(-2\right)$ will be:

$gf\left(-2\right)=29$

Step-by-step explanation:

Given the functions

$f(n) = n^2 - 4n + 3$

$g\left(n\right)\:=\:2n\:-\:1$

$f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3$

$=\left(-2\right)^2+4\cdot \:2+3$

$=2^2+4\cdot \:2+3$

$=2^2+8+3$

$=4+11$

$=15$

$gf\left(-2\right)=g\left(15\right)$

$=2n-1=2\left(15\right)-1=30-1=29$

Therefore,

$gf\left(-2\right)=29$

3 0

3 years ago

A square with one side length is represented by the expression 4(2x+3)+16+8x. Use the properties of operations to write three di

finlep [7]

Answer:

The other sides of the square are

8x+12+16+8x,(8x+8x)+(12+16) and 16x+28

Step-by-step explanation:

Square:

The all sides of a square equal.
The sum of four angles is 360°.
The diagonals bisect each other.
The length of diagonals are equal.

Distributive property:

a(b+c)= ab+ac

Commutative property:

a+b= b+a

Like terms:

Like terms are terms that have the same variables and the power of the variable also same.

Given the length of the side is

=4(2x+3)+16+8x

=4.2x+4.3+16+8x [ Apply distributive property]

=8x+12+16+8x

=(8x+8x)+(12+16) [ separating like terms]

=16x+28 [Adding like terms]

The other sides of the square are

8x+12+16+8x,(8x+8x)+(12+16) and 16x+28

4 0

3 years ago