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dusya [7]
3 years ago
8

A pair of intersecting planes and where they intersect

Mathematics
1 answer:
Alexandra [31]3 years ago
4 0

Answer:

Two planes always would intersect at a line, as shown in attached figure below.

Step-by-step explanation:

As we know that

A plane has basically 2 dimensions.

  • length and
  • width

But as the plane is infinitely large, we can say that length and width of a plane is not supposed to be measured. (can not be measured)

Let suppose we have a pair of intersecting planes.

If If two intersecting planes are not parallel, then they would intersect each other somewhere.

BUT

Two planes always would intersect at a line, as shown in attached figure below.

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Which statement about an input/output table is true?
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What is the slope intercept form of the graph
Bingel [31]

Answer:

y = x + 1

Step-by-step explanation:

y = mx + b

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So, 1. -> y = mx + 1

Next, find the slope. For every 1/2 moving to the right, it also vertically increased by 1/2.

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7 0
3 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
What is the solution set of |- x| = - 10?
Vaselesa [24]

Answer:

No Solution

Step-by-step explanation:

|-x| always = | x |

| x | = - 10

If x = 10, It does not equal to - 10

If x = -10, It becomes 10 because its an absolute value, So it does not equal to -10

So, there is No Solution

7 0
3 years ago
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