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3 years ago

Example 1

Mathematics

1 answer:

katovenus [111]3 years ago

8 0

Answer:

The answer to your question is getting the center and the radius of the polynomial we conclude that the data given are correct.

Step-by-step explanation:

x² - 2x + 1 + y² - 4y + 4 = 25

First, factor the first three terms as a perfect square trinomial

(x - 1)² + y² - 4y + 4 = 25

Second, factor the last terms as a perfect square trinomial

(x - 1)² + (y - 2)² = 25

Get the numbers of each factor and change their signs

Ex (x -1)² = 1

(y - 2)² = 2

These numbers are the center of the circle (1, 2)

Get the square root of 25

$\sqrt{25} = 5$ This is the radius

Then center = (1, 2) and radius = 5

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A pizzeria offers 10 different toppings. They have pepperoni, green peppers, onion, bacon, sausage, pineapple, ham, spinach, chi

Slav-nsk [51]

Answer:

combination

Step-by-step explanation:

We have that permutations are groupings in which the order of the objects matters. Combinations are groupings where content matters but order does not.

In this case we have a list of ingredients for the pizza, therefore the order does not matter as long as the ingredients are indicated, which means that this is an example of a combination.

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4 years ago

Un pájaro vuela en línea recta desde la Copa de un árbol a la de otro árbol que está 2 metros más abajo, formando un ángulo de v

LuckyWell [14K]

The bird flew 5.45m far from the tree.

Step-by-step explanation:

Given,

Sin70° = 0.94

Cos70° = 0.34

Angle of flight = 70°

Refer the diagram attached for better understanding.

Cos70° = (adjacent side) / (hypotenuse)

0.34 = 2/ hyp

hyp = 2/(0.34)

hyp = 5.8 m

We have to find the opposite side of the angle of flight for the distance the bird flew.

Sin70° = (opposite side) /(hypotenuse)

0.94 = (opposite side) / 5.8

Opposite side= 0.94 x 5.8

= 5.45m

The bird flew 5.45m away from the tree to another tree.

7 0

4 years ago

Problem: Suppose that on-the-job injuries in textile mill occur at the rate of 0.1 per day. What is the probability that two acc

sertanlavr [38]

Answer: the probability that two accidents will occur during the (five-day) work week is 0.0758

Step-by-step explanation:

Given that;

injuries in textile mill occur at the rate of 0.1 per day; λ = 0.1

probability that two accidents will occur during the (five-day) work week = ?

T= 5

so, the average number of on the job injuries for five days will be;

λT = 0.1 × 5

= 0.5

now if X follows Poisson distribution, hemce

P( X=k ) = [e^-λT (λT)^k] / k!

so the probability that two (2) accidents will occur during the (five-day) work week will be;

P( X=k ) = [e^-0.5 (0.5)²] / 2!

= (0.6065 × 0.25) / 2

= 0.1516/ 2

= 0.0758

the probability that two accidents will occur during the (five-day) work week is 0.0758

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3 years ago

The histogram shows the number of runners who ran a given number of miles each week. How many runners ran 5–6 miles a week?

erma4kov [3.2K]

Answer:

5 runners

Step-by-step explanation:

By looking at the graph, the number of runners in the 5-6 mile category is 5.

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3 years ago

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Serjik [45]

1.44ft2. I worked it out on paper and that is what came out of the problem

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4 years ago

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