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4 years ago

Choose the correct simplification of the expression −4x2(6x − 5x2 − 5).

Mathematics

2 answers:

Dennis_Churaev [7]4 years ago

6 0

Answer:

20x4 − 24x3 + 20x2

Step-by-step explanation:

tankabanditka [31]4 years ago

5 0

-24x^3 + 20x^4 + 20x^2

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What is m/6 = 15/18

kirill115 [55]

18/6=3
15/3=5
m=5
hope this helps :)

5 0

4 years ago

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Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).

aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0

4 years ago

A cone with a radius 2 units is shown below. Its volume is 29 cubic units. Find the height of the cone

rusak2 [61]

Answer:

The height of the cone is $6.9\ units$

Step-by-step explanation:

we know that

The volume of the cone is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the circular base of the cone

h is the height of the cone

In this problem we have

$V=29\ units^{3}$

$r=2\ units$

Find the area of the base B

$B=\pi r^{2}$

substitute the value of r

$B=\pi (2)^{2}=4 \pi\ units^{2}$

Find the height of the cone

$29=\frac{1}{3}(4 \pi)h$

$h=29*3/(4 \pi)$

assume $\pi=3.14$

$h=29*3/(4*3.14)=6.9\ units$

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3 years ago

Solve for X please answer will give brainliest!!

LenKa [72]

Answer:

x=19.55

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3 years ago

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Fed [463]

Answer:

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3 years ago

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