Answer:
Length of base DE = 24 units
Step-by-step explanation:
Given:
In given triangle, right angle at D
SO,
Perpendicular of given triangle = 32 unit
Hypotenuse of given triangle = 40 unit
Find:
Length of base DE
Computation:
Using Pythagoras theorem
Base = √Hypotenuse² - Perpendicular²
Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²
Length of base DE = √40² - 32²
Length of base DE = √1,600 - 1,024
Length of base DE = √576
Length of base DE = 24 units
A linear equation is represented as:
.
The equation of the line is: 
First, we calculate the slope (m) of 
Make y the subject

Divide by 18

In 
slope
So, the slope of
is:

Since, the line is perpendicular to 
The slope of the line is:

So, we have:


The line passes through (4,-2).
So, the equation is:

This gives:



Hence, the linear equation is:

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Answer:
400 square meters
Step-by-step explanation:
We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just
, so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore,
square meters is our answer
Answer:
Slope is defined as the difference in the vertical axis divided by the difference in the horizontal axis, going left to right (s = dy/dx). P has a lesser x co-ordinate, so it will be R - P in this case, giving us (ry - py) / (rx - px):


