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3 years ago

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = (5,4) v = (-10,9)

Mathematics

2 answers:

dolphi86 [110]3 years ago

7 0

Answer:

Step-by-step explanation:

edge answer

12345 [234]3 years ago

6 0

Answer:

Neither

Step-by-step explanation:

5 x -10 = -50

4 x 9 = 36

-50 + 36 = -14 and therefore can not be orthogonal

sqrt(25+16)=sqrt(41)

sqrt(100+81)=sqrt(181)

sqrt(41) x sqrt(181) is not equal to -14 so therefore it is not parallel

So the answer is then neither

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Find the diameter of the base of a right cylinder if the surface area is 128(pi) and the height is 12cm.

Gelneren [198K]

$d=2r\\
A=128 \pi \\
A=2 \pi r^{2} +2 \pi rh \\\\
2 \pi r^{2} +2 \pi rh = 128 \pi \\
2 r^{2} +2rh = 128\\
2 r^{2}+24r-128=0\\
r^{2}+12r-64=0\\
delta=400\\
r_{1/2} = -16/4 \\
r=4cm\\
d=8cm\\
$

Radius / diameter as a length cannot be negative, that's why '-16' is wrong.

8 0

3 years ago

Can someone write through: (3,5) and (-5,-1) in standard form

Sergio [31]

5x-3y
-1x-5y
i’m sure that’s the answer sorry if i’m wrong

3 0

3 years ago

Prove that for any positive integer n a field f can have at most a finite number of elements of multiplicative order at most n

miv72 [106K]

Let's assume multiplicative order is infinite. Then $x^k=1, \forall k=1(1)n$ . In the field $F$ the solution of the polynomial $x^k-1=0$ can have at most $k$ distinct solutions. Hence for any $k=1(1)n$ we cannot have infinite roots. And thus the result follows.

3 0

3 years ago

Solve this inequality:-1/2x-3<-2.5

balandron [24]

Answer:

X<1

Step-by-step explanation:

1/2X-3<-2.5

1/2X<-2.5+3

1/2X<0.5

2/1×1/2X<0.5×2/1

X<1

4 0

2 years ago

Y - 4 = 3/4(x+8) in standard form

Nesterboy [21]

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify. Ax +By = C

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation. 3/4 * (x+8) = y-4

Move all terms containing variables to the left side of the equation

3x/4 +6 = y-4

Move the y to the left side of the equation

3x/4+6-y=-4

Move all terms not containing a varbile to the right side

Move the 6 to the right side

3x/4-y=-6-4

Subtract 4 from -6

3x/4-y=-10

Find the LCD of A,B,C and you get 4

Then you * 4 by everything

3x/4*4-y*4=-10*4

Simplify each term

3x-4y=-10*4

Multiply -10 by 4

3x-4y=-40

8 0

3 years ago

Read 2 more answers