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DaniilM [7]
3 years ago
10

Find a formula for the distance from the point​ P(x,y,z) to each of the following planes. a. Find the distance from​ P(x,y,z) to

the​ xy-plane. b. Find the distance from​ P(x,y,z) to the​ yz-plane. c. Find the distance from​ P(x,y,z) to the​ xz-plane
Mathematics
1 answer:
BARSIC [14]3 years ago
7 0

Answer:

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

Step-by-step explanation:

The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z

Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

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I will mark you brainliest!
kari74 [83]

Answer:

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

Step-by-step explanation:

The line is below the x-axis at those intervals

7 0
3 years ago
APQR is inscribed in a circle with P=60, Q = 80, and R = 40. What are the measures of PQ, QR, and PR?
Sergeeva-Olga [200]

Answer:

PQ:80

QR:160

PR:120

Step-by-step explanation:

PQ=2x∠R

=2×40

=80

QR=2×m∠p

=20×80

=160

PR=2×m∠Q

=2×60\\

=120

<em>hope it helps </em>

<em>have a great day!!</em>

5 0
3 years ago
How can proportional reasoning help solve a problem?
Lisa [10]
The reasoning explains the answer
5 0
3 years ago
Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Mashcka [7]

9514 1404 393

Answer:

  x = 20, or 125

Step-by-step explanation:

We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.

__

The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.

  x° = 90° -70°

  x = 20

__

If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...

  x° = 180° -(180° -70°)/2 = 90° +70°/2

  x = 125

5 0
3 years ago
Find the measure of the angles indicated
GalinKa [24]

Both angles have a measure of 125°.

<h3>How to find the measure of the angles?</h3>

Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.

Then:

-1 + 14x = 12x + 17

Now we need to solve this for x:

14x - 12x = 17 + 1

2x = 18

x =18/2 = 9

Now that we know the value of x we can replace it in any of the expressions for the angles:

-1 + 14*9 = 125°

Both angles have a measure of 125°.

If you want to learn more about angles:

brainly.com/question/25716982

#SPJ1

8 0
2 years ago
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