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2 years ago

Is 660 10 times as much as 600

1 answer:

6 0

No,
660 is 1.1 times as much;

to find how many times 660 goes into 600, you must divide 660 by 600

660÷600 = 1.1

∴660 is 1.1 times as much as 600

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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

One car travel 56 miles per hour and another travels 31 miles per hour. If they start from the same place at the same time and t

Vitek1552 [10]

After 3 hours, the faster car will be 75 miles ahead of the slower car.

Step-by-step explanation:

Given,

Speed of first car = 56 miles per hour

Speed of second car = 31 miles per hour

Let,

x be the number of hours.

Distance covered by first car = Speed * time = 56x

Distance covered by second car = 31x

According to given statement;

Difference between distance covered by both cars = 75 miles

Distance of faster car - Distance of slower car = 75 miles

$56x-31x=75\\25x=75$

Dividing both sides by 25

$\frac{25x}{25}=\frac{75}{25}\\x=3$

After 3 hours, the faster car will be 75 miles ahead of the slower car.

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

4 0

3 years ago

Mrs. Lynch has noted that 7 out of every 10 pieces of mail she gets are junk mail. What percent of her mail is junk?

-BARSIC- [3]

I think it would be 70% of her mail

8 0

2 years ago

Read 2 more answers

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS 10 POINTS

KATRIN_1 [288]

1st question

Answer: y = 200x

y = 400

x = 2

400 = 200*2

2nd question

Answer: y = 2x

y = 6

x = 3

6 = 2*3

8 0

2 years ago

Which ten thousand does 117,290 round to

Leni [432]

Answer:

120,000

Step-by-step explanation:

because seven in greater than 5 so it would round up

3 0

2 years ago