5.02 Which equation does the graph below represents?

1. y = -1/2x
2. y = -2x
3. y = 1/2x
4. y = 2x

Answer:

We could use 'd' as a variable to represent distance. And since distance is the most important thing in this question, the most important variable would be 'd'.

Is this what you were asking?

I hope I could help. (๑•～•)

Answer:

Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0

We have,

z = 0 and x + 2y + z = 2

⇒ z = 2 - x - 2y

∴ The limits of z are :

0 ≤ z ≤ 2 - x - 2y

Now, in the xy- plane , the equations becomes

x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)

Firstly , we find the intersection between the lines x = 2y and x + 2y = 2

∴ we get

2y + 2y = 2

⇒4y = 2

⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5

⇒x = 2([tex]\frac{1}{2}[/tex]) = 1

So, the intersection point is ( 1, 0.5)

As we have x = 0 and x = 1

∴ The limits of x are :

0 ≤ x ≤ 1

Also,

x = 2y

⇒y = [tex]\frac{x}{2}[/tex]

and x + 2y = 2

⇒2y = 2 - x

⇒y = 1 - [tex]\frac{x}{2}[/tex]

∴ The limits of y are :

[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]

So, we get

Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]

             = [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]

             = 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0

             = 1 - 1 + [tex]\frac{1 }{3}[/tex] =  [tex]\frac{1}{3}[/tex]

So, we get

Volume =[tex]\frac{1}{3}[/tex]

The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.

Given,

The tetrahedron T is bounded by the planes,

[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]

From equation (1),

[tex]z=2-x-2y[/tex]

So the limits of z will be from 0 to [tex]2-x-2y[/tex].

Now, from equation (2),

[tex]y=\frac{x}{2}[/tex]

and from equation (1), putting z=0 we get,

[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]

So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].

On solving equation (1), for x we get

[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]

[tex]x=1[/tex].

So the limits of x will be from 0 to 1.

The volume of tetrahedron will be,

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]

[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]

[tex]V=1-1+\frac{1}{3}[/tex]

[tex]V=\dfrac{1}{3}[/tex]

Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.

For more details on Triple integration follow the link:

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Answer:

50.265482457436 inches

Step-by-step explanation:

radius = 8 inches

C = 2×pi×r

= 2×pi×8

C = 50.265482457436 inches

Answer:

-16

Step-by-step explanation:

becjv dfv igcicifcigxixixicocvicicirxc ou9 xexiixi xiexexuwuzwxit

Answer:

I would say  57 is the answer

Step-by-step explanation:

Answer:

7x-32

Step-by-step explanation:

y-y1 = m(x-x1)

y-3 = 7(x-5)

y-3 = 7x-35

y=7x-35+3

y=7x-32

Answer:

39

Step-by-step explanation:

Answer:

39 degrees

Step-by-step explanation:

by the triangle angle sum theorem, the 3 angles of triangles must add up to 180 degrees.

Therefore, 102 degrees + 39 degrees + x = 180 degrees

141 degrees + x = 180 degrees

x = 39 degrees

Answer:

a^2+20a+24

Step-by-step explanation:

Answer:

your answer is   a^2 + 20a + 24

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

2.79 - 2.49 = $0.30

0.30 / 2.49 = 0.12 = 12% (decimal changes to percent)

You can check your work by doing original cost times the decimal of the percent increase. $2.49 * 0.12 = $0.30. Add this to original -> 0.30 + 2.49 = $2.79.  

Answer:

the better value is £9

Step-by-step explanation:

unitary method..

find out how much 1kg will cost in the supermarket and multiply by 12.5kg

For the supermarket

1.83/2.5= 0.732 for one kg.

for 12.5 kg

0.732× 12.5= £9.15

hence the farm shop price is lower than the supermarket price

Answer:

Square: [tex](x-10)^{2} -68[/tex]

Vertex: (10,-68)

Step-by-step explanation:

Answer:

D) 5x + 6y = 12

Step-by-step explanation:

x = y^2 is Not Linear (Find the degree of the equation to determine if linear.)

y - 2 = x^(2) + 5x is Not Linear (Find the degree of the equation to determine if linear.)

y = x^(3) + 1 is Not Linear (A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 3.

5x + 6y = 12 is Linear (Find the degree of the equation to determine if linear.)

Answer:

UZ = 44

Step-by-step explanation:

3x+8 = 6x-28

36 = 3x

12 = x

UZ = 3(12)+8

UZ = 44

Answer:

I think UZ would be the same as ZS, so 6x - 28

Step-by-step explanation:

Answer:

its the 3rd one ab and cd

Answer:

1/16

Step-by-step explanation:

You should use 1/16 teaspoons of vanilla for the 20 cups of flour that u used

Answer:

(205-9x) times15

Step-by-step explanation:

The expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month.

The expression will be written as,

E = (205-9x)15.

Therefore, the expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

To know more about an expression follow

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Answer: i think 8

Step-by-step explanation:

Answer:

i) (-1,-5)

ii) (-2, -6)

iii) (2, 0)

Step-by-step explanation:

its been a long since i did these not sure but the best i got

hope it helped

Answer:

an annuity is a type of retirement income product that you buy with some or all of your pension pot. it pays a regular retirement income either for life or for a set period. (hope this is a decent answer lol)

Step-by-step explanation:

Answer:

An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.

Step-by-step explanation:

Answer:

x = [tex]\frac{32}{3}[/tex] (see below)

Step-by-step explanation:

First, use distributive property:

5 (x + 8) = 8 (x + 1)

5x + 40 = 8x + 8

Then, simplify the equation by combining like terms. You want to isolate the variable to one side of the equation so you can solve for it. Here what I'm talking about:

5x + 40 = 8x + 8

-5x            -5x

-------------------------

40 = 3x + 8

-8           -8

-----------------

32 = 3x

Now, divide both sides by 3 to get the value of x:

3x = 32

x = [tex]\frac{32}{3}[/tex]

or

x ≈ 10.7

Answer:

x= 32/3

Step-by-step explanation:

5(x+8)= 8(x+1)

5x+40=8(x+1)

5x=40=8x+8

5x+40=8x+8

5x+40-40=8x+8-40

5x=8x-32

5x=8x-32

5x-8x=8x-32-8x

-3x=-32

-3x = -32

(Divide both by -3)

x=32/3

Answer:p=$20

Step-by-step explanation:

145-65=80

80/4=20

so each pant costs $20

p=$20

Answer:

41.79

Step-by-step explanation:

c = 14 * 100/33.5 = 1400/33.5 = 2800/67

= 41.79104

Answer:

can i see the picture?

Answer:

89

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

180-71

[tex]\huge\tt\pink{\boxed{\tt{\blue{★\:Answer}}}}[/tex]

[tex]\longmapsto71\degree + x = 180 \degree \: ( \because \: linear \: pair) \\\longmapsto x = 180 -71 \\ \longmapsto109\degree[/tex]

Answer:

CVS

Step-by-step explanation:

i am pretty sure

Answer:

72.7

Step-by-step explanation:

complementary angles: either of two angles whose sum is 90°.

90-17.3 = 72.7

Answer:

Complementary angle of 17.3° is (90°-17.3°)=72.7°

Answer: = (-2,3)

Step-by-step explanation:

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin:

[tex](x,y)\to (-y,x)[/tex]

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation: