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Rom4ik [11]
3 years ago
11

Even more 5x + 2(x+7)

Mathematics
2 answers:
AfilCa [17]3 years ago
5 0

Answer: 7x + 14

Step-by-step explanation:

5x + 2(x + 7)

First, we use distributive property to distribute the 2 to the x and the 7. We're left with this expression:

5x + 2x + 14

We can combine 5x and 2x to get 7x

7x + 14

We cannot do anything else with this expression and it is thus is simplest form.

qwelly [4]3 years ago
5 0
14 because 5+2=7 so x=7 and 7+7=14
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Thrush us a landscape architect. For his first public project he is asked a small scale drawing of a garden to be placed in the
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Answer:

Therefore, on the graph;

The height = 7.5 units

And base = 5.0 units

Attached is an image for further information;

Step-by-step explanation:

Given that;

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height h = 15m

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h = 15m × 1/2 unit/m

h = 7.5 units

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b = 10m × 1/2 unit/m

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Therefore, on the graph;

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3 years ago
What is the volume of this rectangular prism?
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Volume = lwh

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2 years ago
Determine the maximized area of a rectangle that has a perimeter equal to 56m by creating and solving a quadratic equation. What
sveticcg [70]

Answer:

Area of rectangle = 196\,m^2

Length of rectangle = 14 m

Width of rectangle = 14 m

Step-by-step explanation:

Given:

Perimeter of rectangle is 56 m

To find: the maximized area of a rectangle and the length and width

Solution:

A function y=f(x) has a point of maxima at x=x_0 if f''(x_0)

Let x, y denotes length and width of the rectangle.

Perimeter of rectangle = 2( length + width )

=2(x+y)

Also, perimeter of rectangle is equal to 56 m.

So,

56=2(x+y)\\x+y=28\\y=28-x

Let A denotes area of rectangle.

A = length × width

A=xy\\=x(28-x)\\=28x-x^2

Differentiate with respect to x

\frac{dA}{dx}=28-2x

Put \frac{dA}{dx}=0

28-2x=0\\2x=28\\x=14

Also,

\frac{d^2A}{dx^2}=-2

At x = 14, \frac{d^2A}{dx^2}=-2

So, x = 14 is a point of maxima

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y=28-x=28-14=14

Area of rectangle:

A=xy=14(14)=196\,m^2

Length of rectangle = 14 m

Width of rectangle = 14 m

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3 years ago
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