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Ganezh [65]
2 years ago
10

A Mercedes can go 78 miles on 3 gallons of gas. How far can it go with a full tank of 16 gallons?

Mathematics
1 answer:
Alex787 [66]2 years ago
5 0

Answer:

416 miles

Step-by-step explanation:

78 divided by 3 = 26

26 x 16 = 416

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Write the vertex form equation of a parabola that has been translated right of the origin by 5 units, translated down from the o
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Temka [501]

Answer:

Please find attached the drawing of ABCD, A'B'C'D', and A''B''C''D'', created with MS Excel

Step-by-step explanation:

The given composition of transformation is r_{y-axis} \ \circ \ r_{x = - 4}

The transformation on the right, r_{x = - 4}, is carried out first as follows;

The point <em>A</em> with coordinate (-7, 7) reflected across the line x = -4, gives;

A(-7, 7) r_{x = - 4}<em> </em>→ A'(-1, 7)

Similarly, we have;

B(-5, 7) r_{x = - 4} → B'(-3, 7)

C(-5, 1) r_{x = - 4} → C'(-3, 1)

D(-7, 1) r_{x = - 4} → D'(-1, 1)

Therefore, the image of the given rectangle after reflection across the lie, x = -4, is A'(-1, 7), B'(-3, 7), C'(-3, 1), and D'(-1, 1)

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(x, y) r_{y-axis} → (x, -y)

Therefore, we have;

A'(-1, 7) r_{y-axis} → A''(-1, -7)

B'(-3, 7) r_{y-axis} → B''(-3, -7)

C'(-3, 1) r_{y-axis} → C''(-3, -1)

D'(-1, 1) r_{y-axis} → D''(-1, -1)

The points ABCD, A'B'C'D', and A''B''C''D'' are plotted on MS Excel and the points joined with straight lines to form the drawing of the triangles as shown in the attached figure.

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3 years ago
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