Module 7 project.
1 answer:
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Answer:
a.
b. His teacher will receive more pencils (See explanation).
Step-by-step explanation:
a. The total number of pencils Louis brings to school is:
Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.
Notice that the remainder obtained is: .
<em>This means that Louis’s teacher will receive 4 pencils.</em>
b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.
The completed table for the Pythagorean triples are:
.
A trio of positive numbers known as a Pythagorean triple fits into the Pythagoras theorem's formula, which is written as a² + b² = c², where a, b, and c are all positive integers. Here, "a" and "b" make up the other two legs of the right-angled triangle, and "c" serves as the triangle's "hypotenuse," or longest side. In terms of the Pythagorean triples (a, b, c).
In the question, we are given that a triangle with side lengths x² - 1, 2x, x² + 1 is a right triangle, and are asked to fill in the missing table:
.
Taking x as 3, and putting in the sides, we get:
x² + 1 = 3² + 1 = 10.
2x = 2*3 = 6.
x² - 1 = 3² - 1 = 8.
Thus, the triplet is 6,8,10.
For the triplet 8,15,17, we get the x value as:
2x = 8,
or, x = 8/2 = 4.
Thus, the x-value for the triplet (8,15,17) is 4.
Taking x as 5, and putting in the sides, we get:
x² + 1 = 5² + 1 = 26.
2x = 2*5 = 10.
x² - 1 = 5² - 1 = 24.
Thus, the triplet is 10,24,26.
For the triplet 12,35,37, we get the x value as:
2x = 12,
or, x = 12/2 = 6.
Thus, the x-value for the triplet (12,35,37) is 6.
Thus, the completed table for the Pythagorean triples are:
.
Learn more about the Pythagorean triplets at
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The provided question is incomplete. The complete question is:
"We know that a triangle with side lengths x² - 1,2x and x² + 1 is a right triangle. Using those side lengths, find the missing triples and x-values.
Write the triples in parentheses, without spaces between the numbers, and with a comma between numbers. Write the triples in order from least to greatest.
Type the correct answer in each box.
.
Answer:
A'(-1, 1), B'(-2, 1), C'(-2, 2) and D'(-1, 3).
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, rotation, translation and dilation.
Rotation is the turning of an object about a point. If a point A(x, y) is rotated 90 degrees counterclockwise about the origin, the new point would be A'(-y, x)
From the image attached, the coordinates of polygon ABCD is A(1, 1), B(1, 2), C(2, 2), D(3, 1). If polygon ABCD is rotated 90 degrees counterclockwise about the origin, the new vertices would be at A'(-1, 1), B'(-2, 1), C'(-2, 2) and D'(-1, 3).
