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2 years ago

Representing postulates with diagrams

Mathematics

2 answers:

dangina [55]2 years ago

8 0

Answer:

the 3rd one

Step-by-step explanation:

erik [133]2 years ago

7 0

Answer:

3rd one

Step-by-step explanation:

You might be interested in

Select the correct answer.

Liono4ka [1.6K]

Answer:

Option C.

Step-by-step explanation:

It is given that,

Total number of applicants = 9

Number of job = 3

We need to select 3 applicants out of 9. So, the required number of ways is

$^9P_3=\dfrac{9!}{(9-3)!}$

$^9P_3=\dfrac{9\times 8\times 7\times 6!}{6!}$

$^9P_3=9\times 8\times 7$

$^9P_3=504$

Therefore, there are $^9P_3=504$ ways the positions can be filled because the order in which the applicants are chosen matters.

Hence, the correct option is C.

4 0

2 years ago

The equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as xx0 a2

svetlana [45]

Answer:

The equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=1$ .

Step-by-step explanation:

Given

The equation of ellipsoid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$

The equation of tangent plane at the point $\left(x_0,y_0,z_0\right)$

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}+\frac{zz_0}{c^2}=1$ ( Given)

The equation of hyperboloid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$

F(x,y,z)= $\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}[c^2}$

$F_x=\frac{2x}{a^2},F_y=\frac{2y}{b^2},F_z=-\frac{2z}{c^2}$

$(F_x,F_y,F_z)(x_0,y_0,z_0)=\left(\frac{2x_0}{a^2},\frac{2y_0}{b^2},-\frac{2z_0}{c^2}\right)$

The equation of tangent plane at point $\left(x_0,y_0,z_0\right)$

$\frac{2x_0}{a^2}(x-x_0)+\frac{2y_0}{b^2}(y-y_0)-\farc{2z_0}{c^2}(z-z_0)=0$

The equation of tangent plane to the hyperboloid

$\frac{2xx_0}{a^2}+\frac{2yy_0}{b^2}-\frac{2zz_0}{c^2}-2\left(\frac{x_0^2}{a^2}+\frac{y_0^2}{b^2}-\frac{z_0^2}{c^2}\right)=0$

The equation of tangent plane

$2\left(\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}\right)=2$

Hence, the required equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=0$

7 0

2 years ago

If a storm window has an area of 448 square inches, what are the dimensions if the window is 12 inches higher than it is wide (w

Sholpan [36]

16*28=448
28 is 12 inches higher than 16 so it should work.

5 0

3 years ago

Read 2 more answers

NEED HELP ASAP. I don not understand why I'm wrong. What is the right answer???

hammer [34]

Answer:

Answer: 35/18

Step-by-step explanation:

$\frac{ \{ \frac{3}{4} - \frac{5}{2} \} }{ \{ \frac{3}{5} - \frac{3}{2} \}} = \frac{( - \frac{7}{4} )}{ (- \frac{9}{10} )} \\ \\ = \frac{7}{4} \div \frac{9}{10}$

use the reciprocal of 9/10 :

$= \frac{7}{4} \times \frac{10}{9} \\ \\ = \frac{35}{18}$

6 0

2 years ago

Read 2 more answers

I need help with the question above

Neporo4naja [7]

2a/5b = 6

(2a-5b)/5b could be written as: (2a/5b) -(5b/5b)

Repace by its equivalent value (6) -(1) = 5

4 0

2 years ago