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Mars2501 [29]
3 years ago
6

Consider the level surface given by

Mathematics
1 answer:
NeTakaya3 years ago
8 0
x^2-y^2+z^2=2

If y=2, then you get x^2-2^2+z^2=2\iff x^2+z^2=6 which is a circle in the x-z plane with radius \sqrt6.

If x=1, then you get 1^2-y^2+z^2=2\iff z^2-y^2=1 which is a hyperbola in the y-z plane.

If y=0, you get another circle in the x-z plane defined by x^2+z^2=2, this time with radius \sqrt2.

If x=2, then 2^2-y^2+z^2=2\iffy^2-z^2=2, another hyperbola in the y-z plane with branches perpendicular to the case where x=1.
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Find the measure of the exterior 21.<br> A. 15°<br> B. 100<br> C. 35<br> D. 145
FromTheMoon [43]

Answer:

The answer will be D. 145

Step-by-step explanation:

Because I said so

3 0
3 years ago
Does someone know how to solve this problem?
Naddika [18.5K]

Answer:

Acute scalene triangle.

Step-by-step explanation:

Acute scalene triangle.

Sides: a = 4   b = 7   c = 8

Area: T = 13.998

Perimeter: p = 19

Semiperimeter: s = 9.5

Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad

Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad

Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad

Height: ha = 6.999

Height: hb = 3.999

Height: hc = 3.499

Median: ma = 7.246

Median: mb = 5.268

Median: mc = 4.062

Inradius: r = 1.473

Circumradius: R = 4.001

Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]

Centroid: CG[3.313; 1.166]

Coordinates of the circumscribed circle: U[4; 0.071]

Coordinates of the inscribed circle: I[2.5; 1.473]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.005° = 150°19″ = 0.524 rad

∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad

∠ C' = γ' = 91.023° = 91°1'23″ = 1.553 rad

7 0
3 years ago
5.) John collected stickers of different emoji's, he has 248 stickers. He
vivado [14]

Answer:

11

Step-by-step explanation:

248/24=10.3

round up to 11

4 0
3 years ago
If y varies directly as x and y=60 when x=12, find y if x=35
Drupady [299]

Answer: y=175

Step-by-step explanation: y&x

y=kx

(Where k is a constant)

When y=60,x=12...we have

60=12k

Divide both side by 12

12k/12=60/12

k=5

Equation becomes y=5k

Finding y when x=35

y=5(35)

y=175

3 0
3 years ago
Read 2 more answers
Write a matrix equation for the given systems of equations.
REY [17]

Answer:

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

Step-by-step explanation:

Given system of equations are

2x-6y-2z = 1

3y - 2z = -5

2y + 2z = -3

given

2 x - 6 y - 2 z = 1

0 x + 3 y - 2z = -5

0 x +2y + 2 z = - 3

<em>The Matrix form of the given system of equations </em>

<em>A X = B</em>

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

4 0
3 years ago
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