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Lelu [443]
3 years ago
13

A rectangle has coordinates A(-4, 3), B(0, 0), C(6, 8), D(2, 11). What is the area of the rectangle?

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Any polygon given by a list of 2D vertex coordinates has area given by the shoelace formula.

That's the absolute value of half the sum of the cross products of the sides.  We form the table of the vertices. We include the first vertex at the end, then calculate the cross product of the side, (a,b) then (c,d) gives cross product ad-bc.

         cross product

-4 3  0

0 0   0

6 8    6(11)-8(2) = 66 - 16 = 50

2 11   2(3) - (11)(-4) = 50

-4 3

So the area is (1/2)(50+50) = 50

Answer: 50

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3 years ago
Pls solve this proportion<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}"
Nostrana [21]

Answer:

  c = 15/2

Step-by-step explanation:

Multiply both sides of the equation by 9, then reduce the fraction.

  9(5/6) = c

  15/2 = c

_____

<em>Alternate methods</em>

You are usually told to "cross-multiply" which means you multiply the expression by the product of the denominators. this would give you ...

  9(5) = 6(c)

Then you would divide by the coefficient of c to get ...

  (9·5)/6 = c = 15/2

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Since c is multiplied by 1/9, you can solve this by multiplying by the inverse of that coefficient, 9. That is what is done in the first section above. Usually, this does in one step what the "cross-multiply" method does in 2 steps.

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The "cross multiply" step can also be done by multiplying by the least common multiple of the denominators, 18. Then you have ...

  18(5/6) = 18(c/9)

  15 = 2c

Now, dividing by the coefficient of c gives ...

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6 0
4 years ago
❗️10 points❗️<br> 1. factor the polynomial.
harkovskaia [24]

Answer:

B.

Step-by-step explanation:

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= 6x^5 - 18x³ + 54

3 0
4 years ago
What do you divide -81 to get +81?
Sliva [168]
Divide it by -1 to get positive 81
6 0
3 years ago
Of three positive integers, the second is twice the first, and the third is twice the second. One of these integers is 17 more t
marusya05 [52]
X = 1st integer, y = 2nd integer, z = 3rd integer

y = 2x
z = 2y......z = 2(2x)...z = 4x

y = x + 17
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x = 17

y = 2x
y = 2(17)
y = 34

z = 4x
z = 4(17)
z = 68

and the sum would be : 17 + 34 + 68 = 119
8 0
3 years ago
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