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2 years ago

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Mathematics

1 answer:

ollegr [7]2 years ago

7 0

Answer:

(b) (x -10)(x +10)

Step-by-step explanation:

The factorization of the difference of squares is a special form:

a² -b² = (a -b)(a +b)

<h3>Application</h3>

Your expression is recognizable as the difference of squares:

x² -100 = x -10²

Using the above form, the factorization is ...

= (x -10)(x +10) . . . . . . . . matches the second choice

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30 points!!!

lara31 [8.8K]

Answer:

SAS postulate

Step-by-step explanation:

AD (common)

AC = BD (both are diameters)

Angle COD = Ange AOD (vertically opposite angles)

Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)

Therefore, ABD and DCA are congruent by SAS postulate

7 0

3 years ago

I need help please and thank you . I am try to pass this.

Levart [38]

Answer:

11 ≤ n

Explanation:

$\frac{66}{6} = 11$

More than indicates the minimum value, so you use the greater than or equal to.

The above answer is written in reverse, which the exact same result.

I am joyous to assist you anytime.

8 0

3 years ago

Carlos and Maria drove a total of 228 miles in 4.6 hours. Carlos drove the first part of the trip and averaged

aleksklad [387]

Answer:

around 228

Step-by-step explanation:

8 0

3 years ago

5•10^6 is how many times as large as 5•10^6

Mamont248 [21]

Answer: 100

Step-by-step explanation:

For any two numbers X and Y, you can figure out how many times larger X is than Y by dividing X by Y . For example , 8 is 4 fine larger than 2 because 8/2=4 5*10^6/5*10^4 = 5/5*10^6/10^4 = 1*10^2 = 100

5 0

3 years ago

A tour operator has a bus that can accommodate 20 tourists. The operator knows that tourists may not show up, so he sells 21 tic

dalvyx [7]

Answer:

The expected revenue of the tour operator is 985.

Step-by-step explanation:

There are two outcomes:

Either less than 21 tourists show up and the operator does not have to pay anything. Or 21 tourists show up and the operator has to repay 100.

Anyways, initially he gets the price of all the tickets sold. That is 21 each at 50, so $R = 21*50 = 1050$ .

Then, we need to find the probability that all of the 21 tourists show up. In this case, we have to subtract 100 from the revenue.

Each tourist has a 0.02 probability of not showing up. This means that each has a 1-0.02 = 0.98 probability of showing up. So the probability P that all 21 tourists show up is $P = (0.98)^{21} = 0.6542$ .

So, the expected revenue of the tour operator is

$R = 1050 - 100P = 1050 - 100(0.6542) = 984.58$

Rounded up, the expected revenue of the tour operator is 985.

6 0

3 years ago