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IrinaVladis [17]

3 years ago

12

What is the distance between point A and point B?what is the ordered pair for each of the points plotted above?

1 answer:

Alekssandra [29.7K]3 years ago

6 0

Answer:

A: (0,0), B: (3, -4), 5 units

Step-by-step explanation:

A: (0,0), B: (3, -4)

To find the distance, use the distance formula. Square-root((0-3)^2+(0-(-4))^2) ---> Square-root((-3)^2 + 4^2) ---> Square-root(9+16) ---> Square-root(25) ---> 5units.

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There are 60 students in Kinsley's grade. 3 of the students are enrolled in health. What

GREYUIT [131]

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After that, i set up this equation: 1/20 times x/100

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Please help me idk this ???

nydimaria [60]

Answer:

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4 years ago

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Identify each matrix A such that A^2 has identical diagonal elements?

Maksim231197 [3]

Answer:

The correct matrices are:

Matrix:

7 1 5

1 5 7

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Matrix:

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27 -9 18

18 27 9

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6 0

3 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

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3 years ago

Which of the following are the roots of the equation:

Rasek [7]

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3 years ago