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tiny-mole [99]
4 years ago
7

Any ideas please help thank you

Mathematics
1 answer:
Nataliya [291]4 years ago
5 0
The middle answer is the only correct one. 
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Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. The
vodomira [7]

Answer:

2) ABCD is  a RECTANGLE.

Perimeter  =  30 units

Step-by-step explanation:

Here, the given points of the quadrilateral are:

A(6, –4), B(11, –4), C(11, 6), D(6, 6)

Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:

PQ = \sqrt{(c-a)^2 + (d-b)^2

Use this to find the length of all 4 sides:

AB with coordinates A(6, –4), B(11, –4)  is given as:

AB = \sqrt{(11-6)^2 + (-4-(-4))^2} =  \sqrt{(5)^2 + 0} = 5

⇒ AB = 5 units

BC with coordinates B(11, –4), C(11, 6)  is given as:

BC = \sqrt{(11-11)^2 + (6-(-4))^2} =  \sqrt{(0)^2 + 10^2} = 10

⇒ BC = 10 units

CD with coordinates C(11, 6), D(6, 6)  is given as:

CD = \sqrt{(11-6)^2 + (6-6)^2} =  \sqrt{(5)^2 + 0} = 5

⇒ CD = 5 units

AD with coordinates A(6, –4),D(6, 6)  is given as:

AD = \sqrt{(6-6)^2 + (-4-(-4))^2} =  \sqrt{(0)^2 + 10^2} = 10

⇒ AD = 10 units

Now, here AB  = CD =  5 units, AD = BC  = 10 units

Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.

Hence, ABCD is  a RECTANGLE.

Perimeter  = AB + BC+ CD  + AD = 5 + 10 + 5 + 10 = 30 units

8 0
3 years ago
What is the volume of a rectangular prism that has a side length of 1/2 units and a base length of 16 1/4 units squared
stepladder [879]

Answer:

Step-by-step explanation:

81 square yards

4 0
3 years ago
8x^2+32x-96<img src="https://tex.z-dn.net/?f=8x%5E%7B2%7D%20%2B36x-96" id="TexFormula1" title="8x^{2} +36x-96" alt="8x^{2} +36x-
erma4kov [3.2K]

Answer:

−19282+104−96

Step-by-step explanation:

hopefully this helps, I'm not sure I'd it is correct though

4 0
3 years ago
Two jugs and 4 bottles hold 40 ounces. One jug and 3 bottles hold 25 ounces. How many ounces does 1 jug hold?
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Answer:

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Step-by-step explanation:

Let the capacity of jug be j, bottle be b

2j + 4b = 40 \\ j + 3b = 25 \\ j = 25 - 3b \\  \\ therefore \: 50 - 6b + 4b = 40 \\ 2b = 10 \\ b = 5

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3 years ago
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