F(x,y)=8x+y
This means, f is a function where we plug in pairs of numbers.
then, f calculates the first number times 8, to which it then adds the second number we plugged.
let's calculate f for the vertices:
f(0,0)=8*0+0=0+0=0
f(4, 0)=8*4+0=32+0=32
f(3, 5)=8*3+5=24+5=29
f(0, 5)=8*0+5=0+5=5
the maximum value of f is 32
the minimum value of f is 0
AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.
We are given the coordinates of points A and B, using which we can find the equation of the line for AB.
Slope of AB will be:

Using this slope and the point (2,1) we can write the equation for AB as:

The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.
Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:
y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11
Point C lies on the line y = 6x - 11. So if the y-coordinate of C is 13, we can write:
13 = 6x - 11
24 = 6x
x = 4
The x-coordinate of point C will be 4.
Therefore, the answers in correct order are:
4/3 , 6, -11, 4
The larger number is 10 and smaller number is 6.
Step-by-step explanation:
Given,
The difference between two numbers = 4
Let,
x be the larger number.
y be the smaller number.
According to given statement;
x-y=4 Eqn 1
3y=2x-2 Eqn 2
Multiplying Eqn 1 by 3

Putting value of 3y from Eqn 2 in Eqn 3

Putting x = 10 in Eqn 2

Dividing both sides by 3

The larger number is 10 and smaller number is 6.
Keywords: linear equation, substitution method
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Answer:
The were was a man his son and his grandson
Step-by-step explanation: