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Stells [14]
3 years ago
8

I need help again lol

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:9

Step-by-step explanation:

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Find symmetric equations for the line of intersection of the planes. z = 4x − y − 13, z = 6x + 5y − 13
MArishka [77]
The intersection line of two planes is the cross product of the normal vectors of the two planes.

p1: z=4x-y-13 => 4x-y-z=13
p2: z=6x+5y-13 => 6x+5y-z=13
The corresponding normal vectors are:
n1=<4,-1,-1>
n2=<6,5,-1>

The direction vector of the intersection line is the cross product of the two normals, 
vl=
 i   j   k
4 -1 -1
6  5 -1
=<1+5, -6+4, 20+6>
=<6,-2,26>
We simplify the vector by reducing its length by half, i.e.
vl=<3,-1,13>

To find the equation of the line, we need to find a point on the intersection line.
Equate z:  4x-y-13=6x+5y-13 => 2x+6y=0 => x+3y=0.
If x=0, then y=0, z=-13 => line passes through (0,0,-13)

Proceed to find the equation of the line:
L: (0,0,-13)+t(3,-1,13)
Convert to symmetric form:
\frac{x-0}{3}=\frac{y-0}{-1}=\frac{z-(-13)}{13}
=>
\frac{x}{3}=\frac{-y}{1}=\frac{z+13}{13}

3 0
2 years ago
Which is the greatest among root 2, 3 root 4 and 4 root 3?
Sveta_85 [38]

Answer:

4^1/3 is greatest among the given

Step-by-step explanation:

√2 , 4^1/3 , 3^1/4

Find the LCM of 2, 3 , 4= 12

i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12

= (64)^1/12

ii ) 4^1/3 = 4^4/12 = (4^4)^1/12

= (256)1/12

iii )3^1/4 = 3^3/12 = ( 3³ )^1/12

= (27)^1/12

Therefore ,

(256)^1/12 > (64)^1/12 > (27)^1/12

4^1/3 > 2^1/2 > 3^1/4

4^1/3 is greatest among the given

number

6 0
2 years ago
What are the coefficients of 4x -7 - 8x +17
Vladimir79 [104]
The coefficients are the numbers next to a variable (which is X in this case). Therefore, the coefficients here are 4 and 8
8 0
3 years ago
N + 9 &gt;_ 13 (with the “_” under the “&gt;”
Step2247 [10]

Answer:

n >_ 4

Step-by-step explanation:

move 9 to the other side

n >_ 13 - 9

n >_ 4

8 0
3 years ago
Read 2 more answers
Write the equation in point-slope form of the line that passes through the given points.
Lera25 [3.4K]

Answer:

y-6=-1/3(x+6)

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(3-6)/(3-(-6))

m=-3/(3+6)

m=-3/9

simplify

m=-1/3

y-6=-1/3(x-(-6))

y-6=-1/3(x+6)

4 0
3 years ago
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