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Lena [83]
3 years ago
5

Write an equation that is parallel to y=-4x+5 and passes through the point (-2,-1)

Mathematics
1 answer:
marta [7]3 years ago
8 0

The equation of line parallel to y=-4x+5 is y = -4x-9

Further explanation:

Given equation of line is:

y = -4x+5

Comparing it with the standard form of equation

y=mx+b\\Then\\m = -4

As the slopes of parallel lines is equal, the slope of the line parallel to given line will be same. Putting the value of slope in standard equation.

y = mx +b\\y = -4x +b

To find the value of b, the given point will be put in the equation

-1 = -4x -2\\-1 = -4(-2) +b\\-1 = 8 +b\\-1 -8 = b\\-9 = b

Putting the values of b and m in standard form

y = -4x -9

So, the equation of line parallel to y=-4x+5 is y = -4x-9

Keywords: Slope, Equations of lines, Point-slope equation of line

Learn more about point-slope form at:

  • brainly.com/question/4192226
  • brainly.com/question/5223123

#LearnwithBrainly

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A pyramid with a square base is cut by a plane that is parallel to its base and is 2 units from the base. The surface area of th
icang [17]

Answer:

  6.83 units

Step-by-step explanation:

Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...

  (height ratio)^2 = 1/2

  ((h -2)/h)^2 = 1/2

  (h -2)√2 = h . . . . . . square root; multiply by h√2

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The altitude of the original pyramid is about 6.83 units.

7 0
2 years ago
If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
7nadin3 [17]
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!
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3 years ago
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Deffense [45]

Answer:

I think it is C but can't be sure because B isn't clear.

Step-by-step explanation:

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