Answer:
r=<1,0,9>+t<1,2,1>
and
x=1+t
y=2t
z=9+t
Step-by-step explanation:
A vector perpendicular to the plane :

is given by (a,b,c)
So a vector perpendicular to given plane will have :
(1,2,1)
..
3x/(x+1) + (x+1)/(2x) + (5/x)
To find the least common denominator, we multiply the denominators that cannot factor into eachother. x, the denominator in 5/x, fits into 2x, so we do not need to multiply this number.
Therefore, the least common denominator is:
2x(x+1)
The first term will be multiplied by 2x/2x
The second term will be multiplied by (x+1)/(x+1)
The third term will be multiplied by 2(x+1)
Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2
Answer:
Answer Below
Step-by-step explanation:
Triangle #1
To solve this answer we need to multiply then <em>divide by 2</em>
x 
÷ 
12
Triangle #2
Now we do the same thing!
x 
÷ 
12
Rectangle #1
<em>Now we solve for the rectangle!</em>
x 
48
Now we add all these together!

<em>The answer is D. 72 Square Units</em>
Answer:1608.5
Step-by-step explanation: