Translate (5, 1) to the right 3 units.

Mathematics

1 answer:

Sergio [31]2 years ago

5 0

Answer:

Step-by-step explanation:

Answer

When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right. So when you go right 3 units, add 3 to the 5.

(5 + 3,1) = (8,1)

when going across the y axis, you are still only changing the x coordinate.

All you need do is put a minus sign in front of the x coordinate. So your final answer is (-8,1)

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Using the Pythagorean Theorem, we have that the distance from home plate to second base is about 127 feet.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the <u>sum of the legs squared</u> of the triangle, according to the following equation:

$h^2 = l_1^2 + l_2^2$

The distance between each consecutive base is of 90 feet, hence the distance from home plate to 2nd base is the hypotenuse of a <u>right triangle in which the legs are of 90 feet</u>, being the distances from home plate to 1st base and 1st base to 2nd base.

Then:

h² = 90² + 90²

h = sqrt(90² + 90²)

h = 127 feet.

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More can be learned about the Pythagorean Theorem at brainly.com/question/654982

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