Answer: Width = 6m
Working:
Find common factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Work out which ones multiply together to make 72 and as the question states that the length is twice the width, we need to find two numbers that multiply to make 72 and one of the numbers is double the other number.
These numbers would be 6 and 12. (6 x 12 = 72)
Therefore:
Area = 72m²
Width = 6m
Length = 12m
Answer:


Step-by-step explanation:
Given
Let x represent years and V represents the value.
So, we have:


Solving (a): The linear function
First, we calculate the slope (m)

This gives:



The linear function is calculated using:

Where:


So, we have:

Open bracket


Make v the subject


So, the function is:

Solving (b): When x = 8
Substitute 8 for x in 



Take LCM




<em>Hence, its value after 8 years is 1313.3</em>
Answer:
Either 177 or 188 buttons
Step-by-step explanation:
2134/12=177.83
First, we need to get the slope of the equation of the train tracks. We can transform the given equation into the slope-intercept form.
4x +2y = 16
y = -2x +8
The slope of the equation is -2.
A perpendicular line will have the same slope but the opposite sign.
So, the slope of the line of the train crossing is 2. Since, it will pass through the point (8,15), the slope-intercept form can also be used to solve for the equation.
y = mx + b
The slope is 2, so m=2. We solve b by substituting the coordinates.
15 = 2(8) +b
b = -11
The equation is now,
y = -2x - 11
Or it can also be expresses as:
2x - y = 11
Answer:15
Step-by-step explanation:
5•5.5