1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IRINA_888 [86]
3 years ago
5

Which figures are polygons

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer:d the arrow

Step-by-step explanation:

You might be interested in
Solve the following system of equat
kirza4 [7]
What have you done so far?  Why not start by eliminating the variable x?  Do you know how to do that?  Hint:  use multiplication / division of rows and then addition / subtraction.
4 0
2 years ago
If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (2, 4, 0) in the direction
valentina_108 [34]

Answer:

a) \nabla f(x,y,z) = \sin{yz}\mathbf{i} + xz\cos{yz}\mathbf{j} + xy \cos{yz}\mathbf{k}.

b) Du_{f}(2,4,0) = -\frac{8}{\sqrt{11}}

Step-by-step explanation:

Given a function f(x,y,z), this function has the following gradient:

\nabla f(x,y,z) = f_{x}(x,y,z)\mathbf{i} + f_{y}(x,y,z)\mathbf{j} + f_{z}(x,y,z)\mathbf{k}.

(a) find the gradient of f

We have that f(x,y,z) = x\sin{yz}. So

f_{x}(x,y,z) = \sin{yz}

f_{y}(x,y,z) = xz\cos{yz}

f_{z}(x,y,z) = xy \cos{yz}.

\nabla f(x,y,z) = f_{x}(x,y,z)\mathbf{i} + f_{y}(x,y,z)\mathbf{j} + f_{z}(x,y,z)\mathbf{k}.

\nabla f(x,y,z) = \sin{yz}\mathbf{i} + xz\cos{yz}\mathbf{j} + xy \cos{yz}\mathbf{k}

(b) find the directional derivative of f at (2, 4, 0) in the direction of v = i + 3j − k.

The directional derivate is the scalar product between the gradient at (2,4,0) and the unit vector of v.

We have that:

\nabla f(x,y,z) = \sin{yz}\mathbf{i} + xz\cos{yz}\mathbf{j} + xy \cos{yz}\mathbf{k}

\nabla f(2,4,0) = \sin{0}\mathbf{i} + 0\cos{0}\mathbf{j} + 8 \cos{0}\mathbf{k}.

\nabla f(2,4,0) = 0i+0j+8k=(0,0,8)

The vector is v = i + 3j - k = (1,3,-1)

To use v as an unitary vector, we divide each component of v by the norm of v.

|v| = \sqrt{1^{2} + 3^{2} + (-1)^{2}} = \sqrt{11}

So

v_{u} = (\frac{1}{\sqrt{11}}, \frac{3}{\sqrt{11}}, \frac{-1}{\sqrt{11}})

Now, we can calculate the scalar product that is the directional derivative.

Du_{f}(2,4,0) = (0,0,8).(\frac{1}{\sqrt{11}}, \frac{3}{\sqrt{11}}, \frac{-1}{\sqrt{11}}) = -\frac{8}{\sqrt{11}}

6 0
3 years ago
F(x) = 5x + 12 and g(x) = 2* - 20.
uranmaximum [27]
23 hygjjtbhg Ughhhgffhhbghjo
3 0
2 years ago
Consider that point A is reflected across the y-axis. What is the distance between point A and the point of its reflection?
Arisa [49]

Answer:

C

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

A(3, 4 ) → A'(- 3, 4 )

Since the point A and it's reflection lie on a horizontal line then

distance between = | 3 + 3 | = | 6 | = 6

7 0
2 years ago
Can someone answer these?
Archy [21]
The first one is Circle and the second one is triangle
5 0
3 years ago
Read 2 more answers
Other questions:
  • fran swims at a speed of 2.4 mph in still water, the river flows at a speed of 0.6mp, how long will it take fran to swim 2.7mi u
    10·1 answer
  • 2.19 repeating as a fraction
    13·1 answer
  • 5.2 is 23.7 % Of what number? (Round to the nearest hundredth.)
    9·1 answer
  • Use the number line to determine the absolute value. Enter the value, as a mixed number in simplest form, in the box. ∣∣−2 2/3∣
    8·1 answer
  • there are 30 students in Sam's history class. out of that number, 18 are girls. If one student is absent, what is the probabilit
    7·2 answers
  • Solve the following equations for x <br> 3/4=3/8x-3/2
    11·1 answer
  • If r(x)=3x-1 and s(x)=2x+1, which expression is equivalent to (r-s)(6)
    10·1 answer
  • Find the zeros of the function f(x)=2x^2-7x-30
    6·1 answer
  • Please help me!!!! with both​
    14·1 answer
  • A normal population has a mean of 20.0 and a standard deviation of 4.0.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!