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Kay [80]
3 years ago
6

Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3,

0, 0). (enter your answers as a comma-separated list of equations.)
Mathematics
1 answer:
wariber [46]3 years ago
7 0
X = -3.  
The distance from p(-9, 0, 0) is
 d = sqrt((x+9)^2 + y^2 + z^2) 
 The distance from q(3,0,0) is
 d = sqrt((x-3)^2 + y^2 + z^2) 
 Let's set them equal to each other.
 sqrt((x+9)^2 + y^2 + z^2) = sqrt((x-3)^2 + y^2 + z^2)
  Square both sides, then simplify
 (x+9)^2 + y^2 + z^2 = (x-3)^2 + y^2 + z^2
 x^2 + 18x + 81 + y^2 + z^2 = x^2 - 6x + 9 + y^2 + z^2
 18x + 81 = - 6x + 9
 24x + 81 = 9
 24x = -72
 x = -3 
 So the desired equation is x = -3 which defines a plane.
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4 0
3 years ago
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A plane took off at a point that is 42 meters from the control tower. The flight path takes the plane over the control tower tha
kodGreya [7K]

Answer:

D. The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

In this scenario a triangle is being formed. The base the plane's takeoff point to the tower base which is 42 meters (x).

The hypothenus is the distance travelled by the plane which is 83 meters (h)

The height of the tower is 98 Meters

We want to calculate the height of our triangle (y) so we can guage if the plane scaled the tower.

According to Pythagorean theorem

(x^2) + (y^2) = h^2

y = √ (h^2) - (x^2)

y = √ (83^2) - (42^2)

y= √(6889 - 1764)

y= 71.59 Meters

The height from the plane's position to the top of the tower will be

Height difference = 98 - 71.59 = 26.41 Meters

So the plane should go about 27 Meters higher to clear the tower

5 0
3 years ago
Combine the like terms to create an equivalent expression:<br> 3 + 2 + (52) + 6
devlian [24]
It would be -2z+8. Because 3z+-5 is -2 and 2+6 is 8.
3 0
2 years ago
Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of
allsm [11]

Answer:

Area of polygon = 18

Step-by-step explanation:

the given points are :

Point A (2.5)

Point B (8,5)

Point C (8,9)

Point D (5,7)

Point E (2,9)

Firstly , create the array

A     2       5

B     8       5

C     8       9

D     5       7

E      2      9

A      2      5

Now,

Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.

⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)

Now,

Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result

⇒ 40 + 40 + 45 + 14 + 18 = 157   ........(2)

Now, Subtract equation (2) from equation (1), we get

193 - 157 = 36

Now, Divide by 2 to get the area of polygon

∴ we get

Area of polygon = 18

3 0
3 years ago
Please can somebody help me with this
Bas_tet [7]
Can you show another pic of it ?
4 0
2 years ago
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