According to my calculation it should be C: x= 1 and y = - 4
NOTE: I had it right on my online class.
1/4z + 8 = 12
1/4z = 12 - 8
1/4z = 4
z = 4 / (1/4)
z = 4 * 4/1
z = 16 <===
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-3(2n + 1) + 7 = -5
-6n - 3 + 7 = -5
-6n + 4 = -5
-6n = -5 - 4
-6n = -9
n = -9/-6
n = 3/2 <===
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2.5(t - 2) - 6 = 9
2.5t - 5 - 6 = 9
2.5t - 11 = 9
2.5t = 9 + 11
2.5t = 20
t = 20 / 2.5
t = 8 <===
It is a bit tedious to write 6 equations, but it is a straightforward process to substitute the given point values into the form provided.
For segment ab. (x1, y1) = (1, 1); (x2, y2) = (3, 4).
... x = 1 + t(3-1)
... y = 1 + t(4-1)
ab = {x=1+2t, y=1+3t}
For segment bc. (x1, y1) = (3, 4); (x2, y2) = (1, 7).
... x = 3 + t(1-3)
... y = 4 + t(7-4)
bc = {x=3-2t, y=4+3t}
For segment ca. (x1, y1) = (1, 7); (x2, y2) = (1, 1).
... x = 1 + t(1-1)
... y = 7 + t(1-7)
ca = {x=1, y=7-6t}
The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus

. A whole side of the triangle is

. Multiply that by 3 to get the perimeter of <span>

.</span>
Answer: 3/8
because 3/8 is .375
And 3/4 is .75
And 1/6 is .1666
1/2 is .50
3/8 is closest