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3 years ago

give two rational numbers whose sum is rational , difference is rational , product is rational , division is rational

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

Answer:

That's the case for all pairs of rational numbers

One example:

2 and ½

Sum = 5/2

Difference = 3/2

Product = 1

Division/Quotient = 4

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in an office building 120 offices are currently being rented this represents 80% of the total units how many offices are there i

Ksenya-84 [330]

There are 150 offices.

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4 years ago

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Indicated operation

lutik1710 [3]

20✔️3 + 4✔️27
20✔️3 + 4✔️9 • 3
20✔️3 + 4 • 3 ✔️3
20✔️3 + 12✔️3
32✔️3.

The solution is 32✔️3.

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3 years ago

Let f be a function of two variables that has continuous partial derivatives and consider the points

Sergeu [11.5K]

Answer:

The directional derivative of f at A in the direction of $\vec{u}$ AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector $\vec{u}=(a,b)$ is denoted by $D\vec{u}f(x,y)$ ,

$D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b$ .

Now the given points are

$A(8,9),B(10,9),C(8,10) and D(11,13)$ ,

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

$\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)$

AC=(8-8,10-9), the direction is

$\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)$

AC=(11-8,13-9), the direction is

$\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )$

Step 3:

The given directional derivative of f at A $\vec{u}_{AB}$ is 9,

$D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9$

The given directional derivative of f at A $\vec{u}_{AC}$ is 2,

$D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2$

The given directional derivative of f at A $\vec{u}_{AD}$ is

$D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}$

$D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}$

$D\vec{u}_{AD}f= \frac{27+8}{5} =7$

The directional derivative of f at A in the direction of $\vec{u}_{AD}$ is 7.

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3 years ago

travis drove 129 miles in 3 hours.he drove at a constant speed.how many miles did he drive in 1 hour?

Dennis_Churaev [7]

Do one hundred and twenty nine divided by three and you will get your answer

5 0

4 years ago

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How do I get X for this question?

exis [7]

Answer:

The value of x is 12

Step-by-step explanation:

To find the value of x, we need to note that the interior angles are equal to 180. We also know that angle R is equal to 180 - (8 + 6x). So we can add all of this together and set equal to 180.

180 - (8 + 6x) + 4x + 2 + 30 = 180

180 - 8 - 6x + 4x + 2 + 30 = 180

-2x + 24 = 0

-2x = -24

x = 12

7 0

4 years ago