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3 years ago

What is the most precise classification of the quadrilateral with the given vertices: A(2,5), B(5,8), C(-2,12),D(-5,9)?

Mathematics

1 answer:

gayaneshka [121]3 years ago

5 0

Answer: B

Step-by-step explanation:

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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

So,

$y=28-x=28-14=14$

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

Select the true statement about standards for weights and measures. A.) Sales of products or services impacted by weights and me

natima [27]

<span>D.) Standards often wind up discouraging the exchange of goods in the economy. </span>

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3 years ago

Please help me quick

Ainat [17]

For this case we must indicate the factors of the following expression:

$x ^ 2-12x-20$

To factor we must find two numbers that when multiplied result in -20 and when added, result in -12.

There are no two numbers that meet this condition. Thus, the expression is not factorizable with rational numbers.

Answer:

The expression is not factorizable with rational numbers.

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3 years ago

Choose the equation that has the

sasho [114]

Answer:

C) y -1 = -8

Step-by-step explanation:

The solutions to the various equations are ...

w = -7/-4 = 1.75 . . . . . divide by -4

x = 3/2 = 1.50 . . . . . . .divide by 2

y = -7 . . . . . . . . . . . . . .add 1

z = 5 . . . . . . . . . . . . . . add 1

The value farthest from 0 is y = -7, corresponding to choice C.

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3 years ago

Can someone help me with this!

3241004551 [841]

Answer:

24 yd

Step-by-step explanation:

So the shaded part is 2*3=6.

For the tile, just multiply the length and width as usual, so 5*6=30.

Now to subtract the carpet from tile, do 30-6=24.

Hope this helps. Please put brainliest if you can!

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3 years ago

What is the most precise classification of the quadrilateral with the given vertices: A(2,5), B(5,8), C(-2,12),D(-5,9)?￼￼

What is the most precise classification of the quadrilateral with the given vertices: A(2,5), B(5,8), C(-2,12),D(-5,9)?