It's an equilateral triangle, therefore
AB = BC = BA
We have the equation:


<h3>Answer: BC = 3</h3>
Answer: y = 3x-8
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Explanation:
The slope is 3, so m = 3
The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)
We'll use m = 3, x = 3 and y = 1 to find the y intercept
y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8
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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept
So y = mx+b updates to y = 3x-8. This is the final answer.
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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.
Polygon Diagonals. The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides. For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3).
Answer:
430
Step-by-step explanation:
To find the area, use the area for a parallelogram formula:
A = bh, where A is the area, b is the length of the base, and c is the height of the parallelogram.
Next, substitute the values of the base and height:
A = 20in. * 21.5 in.
Finally, simplify the multiplication:
A = 430
Answer: -6 - 5k
Step-by-step explanation:
-3(2+4k) +7(2k-1)
-6+(-12k) + 14k -7k
-6 -12k + 14k - 7k
-6 -5k