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Vinil7 [7]
3 years ago
15

Math geometry please help me.

Mathematics
2 answers:
Orlov [11]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

It passes the vertical line test.

if you draw vertical lines, it should hit the function only once, if it hits coordinates with the same x value (for example, (1,2) and (1,3)), it is not a function.

In the graph, each x value is only hit once.

inn [45]3 years ago
6 0
True. This is a function
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A shirt costs $30 but is on sale for 25% off. How much does the shirt cost after the sale?
FrozenT [24]

Answer:

$22.50

Step-by-step explanation:

Find 25% of 30 and then take away that amount from 30.

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2 years ago
What's the distance between 7,8 and 3,2
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The anwser is 7.2
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8 0
3 years ago
1 inch = 2.54 centimeters The radius of the hexagon is 30 cm What is the approximate area to be covered by the window in square
lora16 [44]

Answer:

  2.5 square feet

Step-by-step explanation:

The area (A) of a regular hexagon in terms of its side length (s) is ...

  A = (3/2)(√3)s²

The side length in feet is ...

  (30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft

Then the area in square feet is ...

  A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²

The approximate area of the hexagon is 2.5 square feet.

_____

<em>Comment on the question</em>

There is nothing in this problem statement that relates the hexagon to the window area.

5 0
3 years ago
684 =<br> A<br> 600 + 80 + 40<br> B<br> 40 + 600 + 8<br> 6 + 80 + 400<br> D<br> 600 + 80 + 4
borishaifa [10]

Answer:

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4 0
2 years ago
Read 2 more answers
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
2 years ago
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