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Mathematics

1 answer:

Georgia [21]2 years ago

6 0

Step-by-step explanation:

The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.

for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.

The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.

substituting 36 for x and 10 for y in eq 1;

3(36) + 10 = 108 + 10 = 118 total students for Green High School

substituting 36 for x and 10 for y in eq2;

4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school

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lubasha [3.4K]

Answer:

(a+b)^2+(a-b)^2=2(a^2+b^2)

expanding:

a² + 2ab + b² + a² -2ab + b² = 2a² + 2b²

2a² + 2b² = 2a² + 2b²

7 0

3 years ago

Read 2 more answers

For a parallelogram with a long side that is 4 times the length of its short side find the area if the height from the long side

Zielflug [23.3K]

9514 1404 393

Answer:

c. 1150 square units

Step-by-step explanation:

The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.

The area is the product of the long side and the height to the long side:

A = bh

A = (50 units)(23 units) = 1150 units²

<em>Additional comment</em>

This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.

If the height is measured from the short side, then the area is 287.5 square units.