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lions [1.4K]
3 years ago
14

Find B if the graph of the equation 3x=By+2 is perpendicular to the graph of 3y=-2x+4.

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

B = \frac{3x}{y} - \frac{2}{y}

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Evaluate 3(4-2)^2 :) :)
skad [1K]
Yeah the answer is B. 12
8 0
3 years ago
Can someone explain this
horsena [70]

9514 1404 393

Answer:

  • resultant force: 93.946∠-10.62° N
  • line of action: 17.314x +92.337y = 809.433

Step-by-step explanation:

We can use the notation a∠b to represent the (x, y) components (a·cos(b), a·sin(b)), where angle b is measured CCW from the +x direction. If we label the forces a, b, c, d clockwise from A, then we have ...

  a = 80∠0° = (80, 0)

  b = 60∠90° = (0, 60)

  c = 90∠45° = (63.640, 63.640)

  d = 150∠-110° = (-51.303, -140.954)

__

If we label point A the origin, then the clockwise torque on point A is the sum of products of the force x-component and its y location, and its y-component and the negative of its x location.

  T = (0, 0)·(80, 0) +(3, 0)·(0, 60) +(3, -8)·(63.640, 63.640) +(0, -8)·(-51.303, -140.954)

  T = 809.433 . . . . n·m, the CW torque on point A

__

The sum of forces is ...

  F = a +b +c +d = (92.337, -17.314) = 93.946∠-10.62° . . . N

__

This force, applied to the point of application, must generate the same torque as the given forces. That is ...

  F·(y, -x) = 809.433

Then the equation of the line of action is ...

  17.314x +92.337y = 809.433 . . . . . x and y in meters measured from A

Any point (x, y) on this line will serve as a point of application of the force. Unfortunately, this line of action does not pass through the rectangular plate. The attachment shows the point (D) on the line of action that is closest to point A.

_____

<em>Additional comment</em>

The resultant force could be decomposed into two forces acting <em>on the rectangular plate</em>. One could be of much larger magnitude, operating at the corner opposite point A. This force would provide the necessary torque. Another would be acting on point A, providing no torque, but with components such that the resultant has the correct magnitude and direction.

6 0
3 years ago
Find the volume of the composite solid.
OLEGan [10]

Here's the solution,

the volume of the given figure is :

=》

volume \:  \: of \:  \: (pyramid \:  + rectangular \:  \: prism)

volume of pyramid :

=》

\dfrac{l \times b \times h}{3}

=》

\dfrac{4 \times 5 \times 6}{3}

=》

\dfrac{120}{3}

=》

40

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

l \times b \times h

=》

4 \times 5 \times 2

=》

40

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

4 0
2 years ago
What is the error in -1.75+-1+4.25+3.75+1+ -4.75+2=18.5
allochka39001 [22]

Answer:

they don't respect the signs

Step-by-step explanation:

when you have a problem like the one above you have to put parentheses to the negative numbers either to add or subtract them, there is where the sign rule comes in

6 0
3 years ago
Read 2 more answers
I Need a lot of help
Darina [25.2K]

Answer:

i think B if i am wrong i will give you points

Step-by-step explanation:

:)

3 0
2 years ago
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