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3 years ago

Find the area of a triangle whose height is 2x and base is 2x + 2.

Mathematics

1 answer:

wel3 years ago

3 0

Answer: $2x^{2}+2x$

Step-by-step explanation:

1. You must apply the formula for calculate the area of a triangle, which is shown below:

$Area=\frac{base*height}{2}$

2. You know the height and the base, which are given in the problem. Then, you only need to substitute them into the equation shown above and simplify it, as following:

$Area=\frac{2x(2x+2)}{2}$

$Area=x(2x+2)\\Area=2x^{2}+2x$

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Step-by-step explanation:

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Point, line and plane : brainly.com/question/13148935

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3 years ago

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3 years ago

Let A be the set represented by the bitstring 01011011100, let B be the set represented by the bitstring 10110111010. Find the b

iragen [17]

Answer:

Ac = 10100100011

$A \cup B = 11111111110$

$A \cap B = 00010011000$

$A - B = 100100111010$

Step-by-step explanation:

All these operations are bitwise operations.

Ac is the complement of a. So where we have a bit 0, the complement is 1. Where we have a bit 1, the complement is 0. So

A = 01011011100

Ac = 10100100011

The second operation is the union between A and B. This is bitwise(bit 1 of A with bit 1 of B, bit 2 of A with bit 2 of B,...). The union operation is only 0 when it is between two zeros. So:

A = 01011011100

B = 10110111010

$A \cup B = 11111111110$

The third operation is the intersection between A and B. Again, bitwise. The intersection is only 1 when it is between two bits that are 1. So

A = 01011110100

B = 10110111010

$A \cap B = 00010011000$

The last operation is the bitwise subtraction between A and B. We start from the least significant bit(the last one). And we have to take care of the borrow operator also, similarly to a decimal subtraction.

We can only borrow from a previous bit 1, and this bit is set to 0

0-0 is 0 with no borrow

1-0 is 1 with no borrow

1 with borrow - 0 is 1 with borrow

1 with borrow - 1 is 1 with no borrow

0-1 is 1 with no borrow

0 with borrow -1 is 0 with no borrow

1-1 is 0 with no borrow

If we arrive at the first bit(the most significant) with a borrow, we must add a 1 at the front of the answer. So

A = 01011110100

B = 10110111010

$A - B = 100100111010$

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4 years ago