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vovikov84 [41]
3 years ago
13

Find the missing the coordinates. Tiles (2, 1) (2, -2) (-5, -5) (-1, -1) Pairs A(2, 5), B(6, 5), and C(6, 1) are three vertices

of square ABCD. What are the coordinates of vertex D? arrowBoth A(2, 3), B(7, 3), and C(7, -2) are three vertices of square ABCD. What are the coordinates of vertex D? arrowBoth A(-5, -1), B(1, -1), and C(1, -5) are three vertices of rectangle ABCD. What are the coordinates of vertex D? arrowBoth A(-1, 4), B(7, 4), and C(7, -1) are three vertices of rectangle ABCD. What are the coordinates of vertex D

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
8 0
1) <span>Pairs A(2, 5), B(6, 5), and C(6, 1)
point D
Dx=Cx-(Bx-Ax)=(6-(6-2))=2
Dy=Cy=1
</span>the coordinates of vertex D is (2,1)

2) 
Pairs <span>A(2, 3), B(7, 3), and C(7, -2)
</span>point D 
Dx=Cx-(Bx-Ax)=(7-(7-2))=2
Dy=Cy=-2
the coordinates of vertex D is (2,-2)

3) 
Pairs <span>A(-5, -1), B(1, -1), and C(1, -5)
</span>point D 
Dx=Cx-(Bx-Ax)=(1-(1+5))=-5
Dy=Cy=-5
the coordinates of vertex D is (-5,-5)

4) 
Pairs <span>A(-1, 4), B(7, 4), and C(7, -1)
</span>point D 
Dx=Cx-(Bx-Ax)=(7-(7+1))=-1
Dy=Cy=-1
the coordinates of vertex D is (-1,-1)
horsena [70]3 years ago
3 0

Answer:

1) (2,1) 2) D=(2, -2) 3) (-5,-5) 4) (-1,-1)

Step-by-step explanation:

1) What are the coordinates of vertex D? Since it's a square, a regular quadrilateral, the legs have the same length: A(2,5) B(6,5) = |2-6|=|-4|=4 units According to the graph D has to be located 4 units to the left.

A(2, 5); B(6, 5); C(6, 1)

D=C(6-4,1) D = (2,1)

2) A(2, 3), B(7, 3), and C(7, -2) are three vertices of square ABCD. What are the coordinates of vertex D?

The same principle, for finding this Vertex coordinate so A(2, 3), B(7, 3), and C(7, -2) leg whose measure is equal to 5 units so D, according to the graph must be 5 units to the left.

A(2, 3), B(7, 3) |2-7|=|-5|=5 units

D =C(7-5,-2) D=(2, -2)

3) A(-5, -1), B(1, -1), and C(1, -5) are three vertices of rectangle ABCD. What are the coordinates of vertex D?

In this one, we have a rectangle, the distance AB= A(-5,-1) and B(1,-1) since A and B are on the same line, we can simply calculate the absolute value of x-coordinate =|-5-1|=|-6|=6 units. According to coordinate D, can only be to the left so

So D = C(1-6,-5)

D=(-5,-5)

4) A(-1, 4), B(7, 4), and C(7, -1) are three vertices of rectangle ABCD. What are the coordinates of vertex D?

Similarly to the previous one:

A(-1,4) and B(7,4) = |-1-7|=|-8|=8

D = C(7-8,-1)

D=(-1,-1)

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harina [27]

Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

                              y

p(x,y)                   0               1                                 2                g(x)

x    0           0.025              0.015                       0.010            0.05

1                  0.050            0.030                        0.020           0.1  

2                   0.115             0.075                        0.050           0.24

3                  0.150              0.090                      0.060             0.3

<u>4                   0.100             0.060                     0.040              0.2 </u>

h(y)              0.325              0.27                       0.18  

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

       = ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)

        = 0 + 0.1+ 0.48 + 0.9+0.8

        =2.28

E(Y)= ∑yi h(y)

      = (0* 0.325) + (1*0.27) + (2*0.18)    

       = 0 +0.27+ 0.36

        = 0.63

E (x+Y) = E(X) +E(Y)

             = 2.28 + 0.63

                = 2.91

But the equation is 3x+ 10y

E(3x+ 10y)= 3E(x) + 10 E(y)

                   = 3(2.28) + 10 (0.63)

                       = 6.84 +6.3

                         = 13.14

Expected revenue from the single trip is $ 13.14

5 0
2 years ago
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