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3 years ago

Quadrilateral ABCD has the following vertices:

Mathematics

2 answers:

GenaCL600 [577]3 years ago

6 0

9514 1404 393

Answer:

yes

Step-by-step explanation:

The figure can be shown to be a parallelogram by showing the sum of endpoints of the diagonals is the same.

A +C = B +D

(0, 6) +(0, -4) = (0, 2) = (3, 5) +(-3, -3) . . . . diagonals bisect each other

If the diagonals of a quadrilateral bisect each other, it is a parallelogram. A parallelogram with a right angle is a rectangle. So, ABCD is a rectangle.

_____

<em>Additional comment</em>

The midpoint of each diagonal is half the sum of the end point coordinates. That is, the midpoints are (0, 2)/2 = (0, 1). Since calculation of the midpoints requires both sums be divided by 2, we can tell the midpoints are the same if the sums are the same.

ohaa [14]3 years ago

6 0

Answer:

Yes, because opposite sides are parallel, and \angle A∠Aangle, A is a right angle.

Step-by-step explanation:

khan academy

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2 years ago

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Leto [7]

Answer:

$\boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3}$

Given:

$f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8$

To find:

$(f - g)(x) = f(x) - g(x)$

Step-by-step explanation:

$\implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3$

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3 years ago

What is the volume of the rectangular prism?3 1/2 mm 9 mm 8 1/2 mm

FinnZ [79.3K]

The dimension of the rectangle prism is : 3 1/2 mm , 9 mm and 8 1/2 mm

Express the mixed fraction into decimal :

$\begin{gathered} 3\frac{1}{2}=\frac{3\times2+1}{2} \\ 3\frac{1}{2}=\frac{7}{2} \\ 3\frac{1}{2}=3.5 \end{gathered}$ $\begin{gathered} 8\frac{1}{2}=\frac{8\times2+1}{2} \\ 8\frac{1}{2}=\frac{17}{2} \\ 8\frac{1}{2}=8.5 \end{gathered}$

So, the dimensions are : 3.5mm , 9mm & 8.5mm

Volume of the prism = Length x Breadth x Height

Susbtitute the value and simplify :

Volume of the prism = ( 3.5 x 9 x 8.5 ) mm

Volume of the prism = 267.75 mm

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11 months ago

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labwork [276]

Answer:

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Step-by-step explanation:

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3 years ago

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antiseptic1488 [7]

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3 years ago

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