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Luden [163]
3 years ago
14

Can someone help me please will give brainliest

Mathematics
1 answer:
wolverine [178]3 years ago
8 0

Answer:

  see below

Step-by-step explanation:

Each point moves to half its previous distance from P. It is probably easier to count grid squares on the graph than it is to do the math on the coordinates.

If you're doing the math on the coordinates, it is convenient to use P = (0, 0), then multiply each of the coordinates of A, B, and C by 1/2. For example:

  A' = (1/2)A = (1/2)(8, 4) = (4, 2)

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Find the value of y.
stepladder [879]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
what is the slope of a line parallel to the line whose equation is y=2/3x+3. fully simplify your answer
LenKa [72]

Answer:

2/3 already simplified

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A cube has a side length of 4 feet what is the volume of the cube
dalvyx [7]

Answer:

V=64

Step-by-step explanation:

What you do is go based off the volume formula of a cube which is V=a^3.

You have a side length of 4.

V=4^3.

V=64.

6 0
3 years ago
A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,
Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

                                                      = x²y cubic feet

1000 = x²y

y = \frac{1000}{x^2} -------(1)

Material used in the prism = Surface area of the rectangular prism

                                            = 2(lb + bh + hl)

Here, h =  height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

                                  S = 2(x² + 2xy) - x²

                                  S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + 2x(\frac{1000}{x^{2} })

  = x² + \frac{2000}{x}

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - \frac{2000}{x^{2} }

2x - \frac{2000}{x^{2} } = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = \frac{1000}{(10)^2}

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0
3 years ago
The variables x and y have a quadratic relationship. Tripling the value of x causes the value of y to increase by a factor of ni
Lady bird [3.3K]

Answer:

<em>The value of y when x has a value of 9 is 18</em>

Step-by-step explanation:

<u>Functions</u>

The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.

Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:

y=kx^2

Where k is an unknown constant.

Let's use the given point (3,2) to find the value of k:

2=k(3)^2

2=9k

Solving for k:

\displaystyle k=\frac{2}{9}

The equation is now:

\displaystyle y=\frac{2}{9}x^2

Now find y when x=9:

\displaystyle y=\frac{2}{9}(9)^2

\displaystyle y=\frac{2}{9}\cdot 81=18

The value of y when x has a value of 9 is 18

3 0
3 years ago
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