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ArbitrLikvidat [17]
3 years ago
9

Factor the following polynomial fully.

Mathematics
1 answer:
salantis [7]3 years ago
3 0

Answer:

2(x + 2)(5x-2)

Step-by-step explanation:

Here, we want to factorize the given polynomial

We have this as follows;

10x^2 + 20x - 4x -8

10x(x + 2) - 4(x + 2)

= (10x-4)(x + 2)

We can factor the first side by bringing out two and we will have;

10x-4 = 2(5x-2)

and hence;

2(x + 2)(5x-2)

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The converse of a mid-point theorem states that "if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”

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If a triangle has side lengths 5 cm, 18<br> cm, and 12 cm, is it a right triangle?
Dimas [21]

Answer:

No, it's not a right triangle.

Step-by-step explanation:

1. The Pythagorean Theorem states that the area of the square whose side is the hypotenuse (longest side of a right triangle) is equal to the sum of the area of the squares from the two other sides.

2. The longest side in this "triangle" has 18 centimeters, and the other 2 sides are 5 and 12 centimeters.

3. Let's apply the Pythagorean Theorem to see if 5^2 + 12^2 = 18^2

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4. Okay, so the sum of the area of the squares from the two other sides is not equal to the hypotenuse squared, therefore, it's not a right triangle.

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5 0
2 years ago
Convert 54 kg to g<br><br>0.54 g <br><br>54,000 g<br><br>0.054 g<br><br>5,400 g​
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Step-by-step explanation:

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Use the figure below to determine the length of sides b and c.
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