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3 years ago

What is the distance between the points (-4 , -12) and (-4 , 20) in the coordinate plane?

Mathematics

2 answers:

lapo4ka [179]3 years ago

8 0

Answer:

32 units

Step-by-step explanation:

from -12 to 0 it is 12 units, and from 0 to 20 it is 20 units.

12 + 20 = 32 units

Licemer1 [7]3 years ago

4 0

Answer:

26 units i think

Step-by-step explanation:

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My professor showed us in class today how to use ode45 to solve a differential equation numerically. i would like to use it on m

Brilliant_brown [7]

Yes, ode45 can be used for higher-order differential equations. You need to convert the higher order equation to a system of first-order equations, then use ode45 on that system.

For example, if you have

... u'' + a·u' + b·u = f

you can define u1 = u, u2 = u' and now you have the system

... (u2)' + a·u2 + b·u1 = f

... (u1)' = u2

Rearranging, this is

... (u1)' = u2

... (u2)' = f - a·u2 - b·u1

ode45 is used to solve each of these. Now, you have a vector (u1, u2) instead of a scalar variable (u). A web search regarding using ode45 on higher-order differential equations can provide additional illumination, including specific examples.

7 0

4 years ago

What is -(8^-2) need to know how to do this asap

yarga [219]

Answer:

$-\frac{1}{64}$

Step-by-step explanation:

$-(8^{-2})\\\\\\x^{-n}=\frac{1}{x^{n}}\\\\\\-(8^{-2})=-\frac{1}{8^{2}}\\\\=-\frac{1}{64}$

3 0

3 years ago

Read 2 more answers

You are going to decorate one wall of your bedroom by putting a border along the top. The wall is a square wall with an area of

e-lub [12.9K]

Answer:

16 ft

Step-by-step explanation:

Each edge of wall = √256 ft = 16 ft

5 0

3 years ago

You are standing 60 feet from the base of a 20-foot tall flagpole. What is 1

Rasek [7]

Answer: The angle of elevation is 18.4 degrees (Approximately)

Step-by-step explanation: Please refer to the picture attached for more details.

The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.

Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).

Therefore, to calculate angle A;

Tan A = Opposite/Adjacent

Tan A = 20/60

Tan A = 1/3

Tan A = 0.3333

Checking with your calculator or table of values,

A = 18.4349°

Rounded to the nearest tenth,

A ≈ 18.4°

5 0

3 years ago

Find the annual rate of interest. Principal = 4600 rupees, Period = 5 years, Total amount = 6440 rupees, Annual rate of interest

Len [333]

The annual rate of interest per year is 8%

<u>Solution:</u>

Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees

First we will calculate the Interest and then using formula of simple interest we will calculate the rate of interest

Interest = Amount – Principal

Interest = 6440 – 4600 = 1840

Now using the formula of simple Interest and on putting values we get,

$\text {Simple Interest }=\frac{P \times R \times T}{100}$

Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period

$1840=\frac{4600 \times R \times 5}{100}$

$\begin{aligned} \mathrm{R} &=\frac{1840 \times 100}{4600 \times 5} \\\\ \mathrm{R} &=\frac{1840}{230} \\\\ \mathrm{R} &=8 \% \end{aligned}$

Hence, the required rate of interest per year is 8%

6 0

3 years ago