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3 years ago

Find the point in the first octant where the tangent plane to x2+116y2+14z2=1 is parallel to the plane x+y+z=10

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

2x+3=yx bc it makes the most sence

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PtichkaEL [24]

AB corresponds to AC. Both are the left diagonal lines of triangle ABE and triangle ACD. Both AB and AC are also the first two letters of ABE and ACD respectively

BE and CD correspond as well. They are the horizontal sides of the two triangles. BE and CD are the last two letters of ABE and ACD.

Set up the proportion below. Then solve for x

AB/AC = BE/CD

AB/(AB+BC) = BE/CD

x/(x+3) = 2/5

5x = 2(x+3)

5x = 2x+6

5x-2x = 6

3x = 6

x = 2

Answer: AB = 2

note how AB = x = 2, so AC = AB+BC = x+3 = 2+3 = 5. This forms the ratio AB/AC = 2/5 which is identical to the ratio BE/CD = 2/5

4 0

3 years ago

The radius of a cylinder is increased by a factor of 3. The height of the cylinder is increased by a factor of 2. What is the ef

xxMikexx [17]

Answer:

The answer is the option B

The volume of the cylinder increases by a factor of $18$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V1=\pi r^{2}h$ ------> original volume

In this problem

$h=2h\ units$

$r=3r\ units$

substitute in the formula

$V2=\pi (3r)^{2}(2h)$

$V2=18\pi r^{2}h$

$V2=18V1$

therefore

The volume of the cylinder increases by a factor of $18$

6 0

3 years ago

Read 2 more answers

Si compro una camisa de 100 pesos con el 10% de descuento cuanto tengo que pagar en total

Alenkasestr [34]

Answer:

$90

Step-by-step explanation:

10% de 100 es 10; 100-10=90

6 0

3 years ago

Read 2 more answers

Question 11 pts

trapecia [35]

Answer:

they have to be congruent

Step-by-step explanation:

both rectangles have the same perimeter which means there Identical

5 0

3 years ago

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An insurance company study shows that 9% of U. S. adults have diabetes. Suppose 8 US adults are selected at random. LetX be the

Bogdan [553]

Using the binomial distribution, it is found that:

The mean of X is of 0.72.

The standard deviation of X is of 0.81.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

E(X) = np = 8 x 0.09 = 0.72.

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8 \times 0.09 \times 0.91} = 0.81$

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

3 0

2 years ago