Answer:
35g^2 +38g +8
Step-by-step explanation:
<h2>Question :</h2>
<em>Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)</em>
<h2>Answer :</h2>
<em>y = -3/2x - 4 </em>
<h2>Explanation :</h2>
y = mx + c
*m = gradien
•>looking for gradients
y=2/3x+9
m1 = 2/3
m2 = -3/2
•>line equation (-6,5)
y - y1 = m(x - x1)
y - 5 = -3/2(x - (-6))
y - 5 = -3/2(x + 6)
y - 5 = -3/2 - 9
y = -3/2x - 9 + 5
y = -3/2x - 4
Answer:
![140](https://tex.z-dn.net/?f=140)
Step-by-step explanation:
A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:
![3a+b+3=2a+2b+6](https://tex.z-dn.net/?f=3a%2Bb%2B3%3D2a%2B2b%2B6)
Solving, we will get a in terms of b:
![3a=2a+b+3,\\a=b+3](https://tex.z-dn.net/?f=3a%3D2a%2Bb%2B3%2C%5C%5Ca%3Db%2B3)
Now we can substitute a for (b+3) into our equation:
![5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}](https://tex.z-dn.net/?f=5a-2b%2B1%3D2a%2B2b%2B6%2C%5C%5C5%28b%2B3%29-2b%2B1%3D2%28b%2B3%29%2B2b%2B6%2C%5C%5C3b%2B16%3D4b%2B12%2C%5C%5C-b%3D-4%2C%5C%5Cb%3D%5Cboxed%7B4%7D)
Therefore, the length of each side of this polygon is
.
Since the perimeter of the polygon consists of all five sides, the perimeter is:
![p=28\cdot 5 =\boxed{140}](https://tex.z-dn.net/?f=p%3D28%5Ccdot%205%20%3D%5Cboxed%7B140%7D)
All you have to do is multiply 55.8 by .62 to get the answer which is 34.596 but I rounded up it to 34.60