8 cm

Scale: 1 cm

4 m

What is the actual height of the lighthouse?

Actual height of lighthouse = 32 m

Step-by-step explanation:

Given:

Scale height of lighthouse = 8 cm

Scale;

1 cm = 4 m

Find:

Actual height of lighthouse

Computation:

Actual height of lighthouse = Scale height of lighthouse x 4 m

Actual height of lighthouse = 8 x 4 m

Actual height of lighthouse = 32 m

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system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.