4 pts
1 answer:
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Answer:
is the required simplification.
Step-by-step explanation:
Here, the given expression is (6x−4)(3x−1).
By DISTRIBUTIVE PROPERTY of numbers:
A ( B + C ) = AB + AC
Simplifying the given expression, we get:
or,
Hence the given expression is simplified.
First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula:
Distance from point A to point B:
![d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}](https://tex.z-dn.net/?f=d_%7BAB%7D%3D%20%5Csqrt%7B%5B6-%28-9%29%5D%5E2%2B%2810-5%29%5E2%7D%20)
Distance from point A to point C:
![d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}](https://tex.z-dn.net/?f=d_%7BAC%7D%3D%20%5Csqrt%7B%5B2-%28-9%29%5D%5E2%2B%28-10-5%29%5E2%7D)
Distance from point B from point C
Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
Finally, to find the area of our triangle, we are going to use Heron's formula:
We can conclude that the perimeter of our triangle is 140.13 square units.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula:
Distance from point A to point B:
Distance from point A to point C:
Distance from point B from point C
Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
Finally, to find the area of our triangle, we are going to use Heron's formula:
We can conclude that the perimeter of our triangle is 140.13 square units.