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3 years ago

3. Find the perimeter of AABC.

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Answer:

34 units

Step-by-step explanation:

Perimeter of ∆ABC is,

2(6+4+7)

= 2×(17)

= 34

Answered by GAUTHMATH

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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.

3 0

3 years ago

A spinner for a game has 5 equal sections labeled 1-5. why is the probability of spinning a 1 or a 4?

kifflom [539]

He was a member of the national league league and was a league of champions in a row of a league championship game

6 0

3 years ago

The perimeter of a rectangle is 48 cm. The length is 6cm less than twice the width. Which system would model this situation and

fenix001 [56]

The easiest way to solve this question would be to subtract the 6 from the 48 which results in 42. Then because the length is twice it’s width we divide the 42 by 3 which gives us 14. Therefore the width is 14 and the length is double of fourteen which is 28

7 0

4 years ago

Hey There! i need ur help Please!!!!

Amiraneli [1.4K]

Answer:

35 5x7=35

Step-by-step explanation:)

35 $hope you love it$

5 0

3 years ago

Please help:))))))

Veronika [31]

Answer:

1. 6x^2 + 4x - 4y

2. x - 10y.

3. 6x^5

4. 36 a^6 b^8

5. x^2 - 81

6. 9x^2 - 42x + 49

7. 12x^2 +3x - 42

Step-by-step explanation:

1. 3x^2+4x+3x^2-4y

Add the like terms, we get

6x^2 + 4x - 4y

2. (5x-2y)-(4x+8y)

Now distribute the negative sign, we get

5x - 2y -4x -8y

Simplify the like terms, we get

x - 10y.

3. 3x^3(2x)^2

Multiply the numbers and simplify the variables

6x^(3 +2)

6x^5

4. (-6a^3b^4)^2

Now bring the power 2 inside the parenthesis.

-6^2 a^6 b^8

= 36a^6b^8

5. (x+9) (x-9)

x^2 + 9x -9x - 81

x^2 - 81

6. (3x-7)^2

(3x - 7)(3x - 7)

9x^2 - 21x -21x + 49

9x^2 - 42x + 49

7. (3x+6) (4x-7)

12x^2 + 24x -21x - 42

12x^2 +3x - 42

Thank you.

8 0

3 years ago