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beks73 [17]
3 years ago
6

Which of the following shows the graph 3x + 9y = 18?

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Answer:

it's the 2nd or last one

Step-by-step explanation:

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Suppose it takes you 14 hour to drive to the movie theater at a rate of 40 mph. Your friend lives closer to the movie theater th
dezoksy [38]

Answer: (d)

Step-by-step explanation:

Given

It takes 14 hours with 40 mph to reach the theatre

so, the distance traveled is given by

\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}

It is given that d is the distance from theatre to friend's house

So, d must be less than d_1 i.e.

d

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.

7 0
2 years ago
Solve for the missing elements. Show your work. Use 3.14 for pie 28 diameter​
aivan3 [116]

Answer:

Step-by-step explanation:

Good Question but i don't know

5 0
3 years ago
Use Lagrange multipliers to find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Enter the dimens
Dima020 [189]

Answer:

(x,y,z) = (12,12,12) cm

Step-by-step explanation:

The box is assumed to be a closed box.

The surface area of a box of dimension x, y and z is given by

S = 2xy + 2xz + 2yz

We're to minimize this function subject to the constraint that

xyz = 1728

The constraint can be rewritten as

xyz - 1728 = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = 2xy + 2xz + 2yz - λ(xyz - 1728)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points, each of the partial derivatives is equal to 0.

(∂L/∂x) = 2y + 2z - λyz = 0

λ = (2y + 2z)/yz = (2/z) + (2/y)

(∂L/∂y) = 2x + 2z - λxz = 0

λ = (2x + 2z)/xz = (2/z) + (2/x)

(∂L/∂z) = 2x + 2y - λxy = 0

λ = (2x + 2y)/xy = (2/y) + (2/x)

(∂L/∂λ) = xyz - 1728 = 0

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

(2/z) + (2/y) = (2/z) + (2/x)

(2/y) = (2/x)

y = x

Also,

(2/z) + (2/x) = (2/y) + (2/x)

(2/z) = (2/y)

z = y

Hence, at the point where the box has minimal area,

x = y = z

Putting these into the constraint equation or the solution of the fourth partial derivative,

xyz - 1728 = 0

x³ = 1728

x = 12 cm

x = y = z = 12 cm.

7 0
3 years ago
This is the full question
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Given:  cos A = 5/13 = adj side / hypotenuse

The the opp side is given by  (hypo)^2 = (adj)^2 + (opp)^2.  Here,
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(opp)^2 = 169 - 25 - 144.  Then opp = +12.  All of these lengths are in Q I.
                       opp        12
Then sin A = -------- = --------  (answer)
                       hyp         13
8 0
3 years ago
Help i have 25 minutes to turn in
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5/1? Im not sure if i am right
7 0
3 years ago
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