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3 years ago

Can someone please help its due soon.ill give brainliest!

Mathematics

1 answer:

sammy [17]3 years ago

4 0

Answer: The Second one

Step-by-step explanation:

The second answer selection tells us that angle VXQ and ZXY are congruent. That's one angle we know that is congruent.

The proportion of YX/WX and WX/YX is the same

(16/12 = 4/3 and 12/9 = 4/3)

So now we know that two sides are congruent to each other. This is enough to satisfy the side side angle congruency test.

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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

What are the solutions to the quadratic equation (5y + 6)2 = 24?b

Fofino [41]

Answer:

Step-by-step explanation:

8 0

3 years ago

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Convert the following inches to feet and inches <br>39 inches<br>42.5 inches<br>61 3/4 inches

9966 [12]

39 inches = 3 feet 3 inches
42.5 inches = 3 feet 6 1/2 inches
61 3/4 inches - 5 feet 1 3/4 inches

7 0

3 years ago

Find the volume of a cylinder with a diameter of 10in and a height of 20in

slavikrds [6]

Volume of cylinder = πr²h

Radius = Diameter ÷ 2
Radius = 10÷ 2
Radius = 5 in

Volume of the cylinder =π x 5² x20
Volume of the cylinder = 1570.80 in³ (nearest hundredth)

---------------------------------------------------------------
Volume = 1570.80 in³ (Answer C)
---------------------------------------------------------------

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4 years ago

Triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1). The triangle is rotated 270° clockwise using the origin as the center

Rufina [12.5K]

Answer:

See attachment.

Step-by-step explanation:

The given triangle,GFH has vertices G(2, –3), F(4, –1), and H(1, 1).

When this triangle is rotated 270° clockwise using the origin as center of rotation; then the coordinates of the image triangle, G'F'H' can be obtained using the mapping;

$(x,y)\to (-y,x)$

This implies that the new triangle will have vertices at;

G'(3, 2), F'(1, 4), and H'(-1, 1).

The correct choice is shown in the attachment.

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3 years ago

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