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MrRissso [65]
3 years ago
15

Rafael is on his way home in his car. His drive is 22 miles long. He has finished one-half of the drive so far, how far has he d

riven
Mathematics
2 answers:
mariarad [96]3 years ago
8 0

he has drive 11 miles of his drive

if you divide 22 by 2 it equals 11

Bogdan [553]3 years ago
5 0

Answe

Step-by-step explanation:

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If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
MrMuchimi
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.

The area of a triangle with vertices known is  given by the matrix
M = \left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]

Area = 1/2· | det(M) |
        = 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
        = 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |

Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
             = 1/2· | -5·(1) - 4·(-13) - 1·(12) |
             = 1/2 | 35 |
             = 35/2

Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
             = 1/2· | -5·(11) + 4·(-13) - 1·(2) |
             = 1/2 | -109 |
<span>             = 109/2</span>

The total area of the quadrilateral will be the sum of the areas of the two triangles:

A(ABCD) = A(ABC) + A(ADC) 
               = 35/2 + 109/2
               = 72
8 0
3 years ago
Write a simplified polynomial expression in standard form to represent the area of the rectangle below. (2 points) A picture of
Jet001 [13]

Answer:

Area= 5x^2-18x -8

Step-by-step explanation:

If the rectangle show one side of length 5 x +2, and another side of length x - 4, then the area of this rectangle (given by the product of the sides' length) is:

Area = (5x+2)\,(x-4)\\Area = 5x^2-20x+2x-8\\Area= 5x^2-18x -8

which is already written in standard form.

4 0
3 years ago
Read 2 more answers
8 scholars were sharing 6 brownies each scholar got an equal amount how much did each scholar get
Eva8 [605]

Answer:

4/3 or 1 1/3 brownie

Step-by-step explanation:

6 0
3 years ago
How many intersections are there of the graphs of the equations below?<br><br> One-halfx + 5y = 6
andre [41]

Answer:

Just go to calulator soup. It’s a website. It will help

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP! The question is in the attachment.
Olin [163]

Answer:

x > 1

Step-by-step explanation:

15 - 1 = 14

The inequality is 15 - 1 < 14, but this is incorrect. 14 can not be less than 14. In order for the left side to be less than 14, the x value (currently representing 1) should be larger than what it currently is to make the statement true.

Therefore, x>1

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2 years ago
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