Write a rule for the translation.

Mathematics

1 answer:

kupik [55]3 years ago

5 0

Answer:

Option B. ( x + 2, y - 1 ) is the correct answer.

Step-by-step explanation:

First of all, we have to write the coordinates of vertices of both triangles and then compare the respective vertices to find the rule,

So the vertices are:

A(-4,2) , B(-3,4) and C(-1,1)

A'(-2,1), B'(-1,3) and C'(1,0)

By comparing respective vertices we can observe that

A(-4,2) => (x+2,y-1) => A'(-2,1)

B(-3,4) => (x+2,y-1) => B'(-1,3)

C(-1,1) => (x+2,y-1) => C'(1,0)

Hence,

Option B. ( x + 2, y - 1 ) is the correct answer.

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6 times the sum of 3 consecutive odd intergers is -18

Lyrx [107]

The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
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To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
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Let "(x+4") be the third odd integer.
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The sum of these three consecutive odd integers:
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x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
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Six ("6") times the sum of these 3 (three) consecutive odd integers =
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6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
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Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1";
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{6(3x + 6) } / 6 = -18 / 6 ; to get:
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3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
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3x + 6 - 6 = -3 - 6 ; to get:
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3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
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3x / 3 = -9 / 3 ; x = - 3 ;
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Remember, from above:
__________________________
Let "x" be the first odd integer. We know that "x = -3".
Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer. So (x+2) = (-3+2) = -1.
Is this an odd integer? Yes! Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
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Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
Is this an odd integer? Yes! Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
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So, our 3 (three) consecutive odd integers are: -3, -1, 1.
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To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
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scoray [572]

Answer:

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Step-by-step explanation:

Usually, the greatest number that is allowed for approximation, assuming that the number itself is obtained by approximation, is the greatest possible error of it.

It is normally half the place value of the last digit in a number.

Like here we have $10\frac{1}{8}$ oz which is equal to $10.125$ oz. The last digit is 5 which is at the thousandth place (0.001) so the greatest possible error for this would be its half.