Replace x in the given equation with each value:
a. f(4) = 2(4) -5
= 8-5
=3
b. (f-3) = 2(-3) - 5
= -6 -5
= -11
The area of a shape is the amount of space it can occupy.
<em>The number of isosceles triangle in the grid is: </em>
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The dimension of the grid is given as:

Calculate the area


The area of each isosceles triangle is given as:

The number (n) of the triangle in an x-by-x grid is:

So, we have:

Express as products


Hence, the number of isosceles triangle in the grid is: 
Read more about areas at:
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Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
Answer:
18 square units
Step-by-step explanation:
To find the area of a rectangle, we just need the length and height.
3 vertices of a rectangle are given, which is enough here to figure out the length (x-axis distance) and the height (y-axis distance).
From (0,0) origin to (3,0) would be 3 - 0 = 3 units in the x-axis. That is length:
Length = 3 units
Now, a point is given (0,6), that is in the y-axis. This is from origin. So, the height is:
6 - 0 = 6 units
Height = 6
Now, the area would be:
Area = Length * Height
Area = 3 * 6
Area = 18 square units
Answer:
I think there are 6 Tricycles in the shop.
Step-by-step explanation:
There is 3 wheels in a tricycle and 18 divided by 3 is 6.