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nasty-shy [4]
2 years ago
12

The pair of equations y = 0 and y = -4 has no solution because the two lines are

Mathematics
1 answer:
liubo4ka [24]2 years ago
6 0

Answer:

parallel

Step-by-step explanation:

The lines will be parallel and hence no solution

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Find the values of x and y using the give chord, secant, and tangent lengths
garri49 [273]

Answer: 7

Step-by-step explanation:

7

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3 years ago
Converting 52.68 feet per hour into inches per minute
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10.536 inches per minute
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2 years ago
Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
Read 2 more answers
If XW is a diameter of V, find x.<br><br> A.<br> 7<br> B.<br> 8<br> C.<br> 10<br> D.<br> 11
NemiM [27]

Step-by-step explanation:

u can try putting the value one by one to check

or write

(12x +14 ) = ( 9x-×)

and solve it do u will get the answer

6 0
2 years ago
Write an equation of a line through the given points (5,0);(7,6)
KATRIN_1 [288]
Y - y1 = m( x - x1); where m = (y2 - y1)/(x2 - x1);
We have m =  (6-0)/(7-5) = 6 / 2 = 3 ;
The equation of the line is: y - 0 = 3(x-5);
Finally: y = 3x - 15.
4 0
2 years ago
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