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Anastaziya [24]
4 years ago
6

Which ratio is equvalent to 7:3

Mathematics
1 answer:
Gala2k [10]4 years ago
3 0

Answer:

21:18

Step-by-step explanation:

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Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?
Lubov Fominskaja [6]

Answer:

  yes

Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

__

For the first parabola, the point of intersection is ...

  y^2 = 4(-y-1)

  y^2 +4y +4 = 0

  (y+2)^2 = 0

  y = -2 . . . . . . . . one solution only

  x = -(-2)-1 = 1

The point of intersection is (1, -2).

__

For the second parabola, the equation is the same, but with x and y interchanged:

  x^2 = 4(-x-1)

  (x +2)^2 = 0

  x = -2, y = 1 . . . . . one point of intersection only

___

If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

_____

Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

7 0
3 years ago
-7 + 3x = -10x +25<br> Show the work
Elanso [62]

Answer:

Step-by-step explanation:

Move -7 to the left, so make 7 positive and & move it next to 25

1. 3x = -10x +25+7

combine 25 & 7

2. 3x=-10x+32

move 10 to the side & combine with 3x

3.  3x+10x=+32

4. 13x = 32

lastly divide 32 from 13

<h2>x= 32/13 OR x= 2  6/13</h2><h2></h2>
5 0
3 years ago
Read 2 more answers
Whats the property also I dont know the answer for the top one too I need a boost :]
laiz [17]

Answer:

14 and Associative

Step-by-step explanation:

Well, because the first equation is 88 and if you put 14 in the other one you would get 14 and how so 88-32=56 and 4 divided by 56 is 14 so the answer is 14 their and it's associative.

4 0
3 years ago
Read 2 more answers
Which of the following equations is of a parabola with a vertex at (1,2)
eduard

Answer:

(x - f_x)^2 + (y - f_y)^2 = (f_x^2 + (x - 3) f_x + f_y^2 + (y - 6) f_y - x - 2 y + 10)^2/(f_x^2 - 2 f_x + f_y^2 - 4 f_y + 5)

Step-by-step explanation:

3 0
3 years ago
Work out the size of angle x
Nikitich [7]

Answer:

x=129

Step-by-step explanation:

180-51=129

5 0
3 years ago
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