<em>Your Answer: </em>A.) (2 , 5) <u>I also provided the steps.</u>
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6-7-(-4)-3 Help me please! I know the answer is 0 but I need a step by step explanation
2 answers:
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Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line
m = =
= 4
finding lcm which is 12. 2/3 + 1/4=8+3/12
=11/12
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.