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olga_2 [115]
3 years ago
8

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5? ​

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer: y = -3x -7   or    3x + y = -7  

Step-by-step explanation:

For two lines to be the same, they need to have the same slopes but different y-intercepts. First convert the equation 3x+y =5 into slope intercept form.

3x + y = 5  subtract 3x from both sides

-3x          -3x

 y = -3x +  5   in this case we know that the slope is -3 and the y-intercept is 5.

Now since they will have the same slope input the x and y coordinates and find the equation that will be parallel to it.

-4 = -3(-1) + b

-4 = 3 +b  

-3     -3

b=  -7  

Since the y intercept is -7 the equation will be  y = -3x -7   or   3x + y = -7

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Point A is at (-6,6) and point C is at (-6,-2). Find the coordinates of point B on Ac such that AB =3/4AC​
BartSMP [9]

Answer:

  B(-6, 0)

Step-by-step explanation:

You want to find B such that ...

  (B -A) = (3/4)(C -A) . . . . the required distance relation

  4(B -A) = 3(C -A) . . . . . . multiply by 4

  4B = 3C +A . . . . . . . . . . add 4A, simplify

Now, we can solve for B and substitute the given coordinates:

  B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)

The coordinates of point B are (-6, 0).

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3 years ago
Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest
erik [133]

Answer: 22, 38

               3, 7

               8, 12

<u>Step-by-step explanation:</u>

It is given that the PERIMETER is BETWEEN 22 and 38

-->          22 < P < 38

Perimeter = 2w + 2L

It is given that L = w + 5

Substitute P with 2w + 2L and substitute L with w + 5

                22 <  2w + 2(w + 5) < 38

                 22 < 2w + 2w + 10 < 38    

                  12 <          4w        < 28    

-->               3 <          w          < 7          

Since L = w + 5, then w = L - 5

Substitute P with 2w + 2L and substitute w with L - 5

                22 <  2(L - 5) + 2L < 38

                 22 < 2L + 2L - 10 < 38    

                 32 <          4L        < 48    

-->               8 <            L        < 12  

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Step-by-step explanation:

Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.

A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.

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Answer:

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Step-by-step explanation:

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