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bija089 [108]
3 years ago
15

What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in t

he box.
Mathematics
1 answer:
agasfer [191]3 years ago
4 0

Answer:

  \boxed{90}\,\text{units$^2$}

Step-by-step explanation:

The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:

  Area = (Base)(Height) = (18 units)(5 units) = 90 units²

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Locate the point on the line segment between A(3, -5) and B(13, -15) given that the point is 4/5 of the way from A to B. Show yo
SVETLANKA909090 [29]

Answer:

C ( 11 , -11 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

                   A ( 3 , -5 )              B ( 13 , -15 )

The point C lies on the line segment from A to B. The ratio of segment given is:

                              AC / AB = 4 / 5

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AB. We will first determine the direction vector ( d ) that is parallel to the line AB as follows:

                 d = OB - OA

                 d = < 13 , -15 > - < 3 , -5 >  

                 d = < 10 , -10 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point B is expressed as:

                < x , y > = OA + s*d

                < x , y > = < 3, -5 > + s* < 10 , -10 >  

The above equation satisfies all the points that lies on the line AB. To determine the coordinates of ( C ). We will plug in the appropriate value of parameter ( s ) and evaluate.

So point C is 4/5 th the magnitude of the distance AB from A. Hence, s = 4/5 as follows:

               < x , y > = < 3 , -5 > + ( 4/5 ) * < 10 , -10 >  

               < x , y > = < 3 , -5 > + < 8 , -8 >  

              < x , y > = < 11 , -11 >   ... Answer

8 0
3 years ago
Tommy is baking a cake. He knows that he needs 2/3 cups of flour to make 4 cakes. How many cups of flour will Tommy need to make
mash [69]
1. 1/3 cups..... ok vthen have a good day
4 0
3 years ago
(6x - 12)/3 + 4 = 18/x
svet-max [94.6K]
X=3
X=-3
Hope this help!
3 0
3 years ago
Natalia begins to find the mean absolute deviation of this data set. She finds the mean of the data and then finds the distance
s2008m [1.1K]
Hello!

To calculate mean absolute deviation, you find the mean, find the distance between each data point and the mean, add up those distances, and divide by the number of data points.

In this scenario, after Natalia finds the distances, she must add them all up and then divide by the number of data points.

I hope this helps!
3 0
3 years ago
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A line has a slope of 7 and contains the point (5, −9).
sergejj [24]
Your answer would come out to be y=7x-44 
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Those match up to that answer.
7 0
3 years ago
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