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fgiga [73]
3 years ago
15

For each part, first decide which of the three methods sections will most easily enable you to sketch the surface. These are the

generalized cylinder method, the surface of revolution method, and the method of slices (traces) for general quadric surfaces. Then apply that method to sketch the surface.
a. x^2 = 4z +8
b. x^2 - 4y^2 – 4z^2 = 16
c. y^2 = x^2 + 2z^2

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

Step-by-step explanation:

We use these three methods

1. Generalized cylinder method

2. Surface of revolution method

3. Method of slices general quadratic

1. For A = x² = 4z + 8

We use the method of slices for general quadratic

2. X²-4y²-4z² = 16

We use the generalized cylinder method

3. Y² = z² + 2z²

We use surface of revolution

Please check attachment for answers

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Solve the system of equations. x+y=4 y=x^2 - 8x + 16 a) {(-3,7).(-4, 8)} b) [(4,0)} c) {(3,1),(4,0) d) {(3,7). (4.0)} e) none
Marysya12 [62]

Answer:  The required solution of the given system is

(x, y) = (3, 1)  and  (4, 0).

Step-by-step explanation:  We are given to solve the following system of equations :

x+y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x^2-8x+16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (i), we have

x+y=4\\\\\Rightarrow y=4-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of y from equation (iii) in equation (ii), we get

y=x^2-8x+16\\\\\Rightarrow 4-x=x^2-8x+16\\\\\Rightarrow x^2-8x+16-4+x=0\\\\\Rightarrow x^2-7x+12=0\\\\\Rightarrow x^2-4x-3x+12=0\\\\\Rightarrow x(x-4)-3(x-4)=0\\\\\Rightarrow (x-3)(x-4)=0\\\\\Rightarrow x-3=0,~~~~~~~x-4=0\\\\\Rightarrow x=3,~4.

When, x = 3, then from (iii), we get

y=4-3=1.

And, when x = 4, then from (iii), we get

y=4-4=0.

Thus, the required solution of the given system is

(x, y) = (3, 1)  and  (4, 0).

8 0
3 years ago
sales taxes in the town where Amanda lives at 7% Amanda paid $35 in sales taxes on a new stereo what was the price of the stereo
Tema [17]
$37.45    hbf bgdfgfdbgfnhmjndbfvbdtjmuknhydbgfvck,iytnhjbgfvds
8 0
3 years ago
In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:
dlinn [17]

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

m\angle 1 = 180\degree- 160\degree

\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}

Alternate method:

m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]

\implies m\angle 1 = 180\degree- [360\degree-200\degree]

\implies m\angle 1 = 180\degree- 160\degree

\implies m\angle 1 = 20\degree

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title=" \frac{5}{12}" alt=" \frac{5}{12}" align="a
Tasya [4]

Answer:

About 0.417

Step-by-step explanation:

8 0
3 years ago
Find the prime factorization of 120.
artcher [175]

Answer:

(7/8 - 4/5)^2 = 9/

1600

= 0.005625

Step-by-step explanation:

Subtract: 7/

8

- 4/

5

= 7 · 5/

8 · 5

- 4 · 8/

5 · 8

= 35/

40

- 32/

40

= 35 - 32/

40

= 3/

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven eighths minus four-fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = 3/

40

^ 2 = 32/

402

= 9/

1600

In words - three-fortieths squared = nine one-thousand six-hundredths.

7 0
3 years ago
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