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Strike441 [17]
3 years ago
5

Given the equation (x - 1) ^ 2 + (y + 20) ^ 2 = 196 identify the center and radius

Mathematics
1 answer:
Dima020 [189]3 years ago
3 0

Answer & Step-by-step explanation:

In order to solve this problem, it  is important that we know the original form of this equation.

<em>(x - x1)² + (y - y1)² = r²</em>

The equation we are given is: <em>(x - 1)² + (y + 20)² = 196</em>

Now that we know the original equation and the given equation, then we can conclude that the center of the circle is (1, -20). We can find the radius by calculating the square root of 196.

√196 = 14

So, the radius is 14.

Now, based on the given information, we know that the center of the circle is (1, -20) and the radius of the circle is 14.

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How do I solve for x
skad [1K]

Answer:

<h3>x = 40/7</h3>

Step-by-step explanation:

Look at the picture.

If ABC is any triangle and AD bisects (cuts in half) the angle BAC, then

\dfrac{AB}{BD}=\dfrac{AC}{DC}

In our triangle we have the proportion:

\dfrac{x}{8}=\dfrac{10-x}{6}            <em>cross multiply</em>

6x=8(10-x)               <em>use distributive property</em>

6x=(8)(10)+(8)(-x)

6x=80-8x                   <em>add 8x to both sides</em>

14x=80            <em>divide both sides by 14</em>

x=\dfrac{80}{14}

\boxed{x=\dfrac{40}{7}}

4 0
3 years ago
Hyun Yong wants to donate more than $5000 in laptops and bicycles. Each laptop that he donates is worth $200, and each bicycle t
maksim [4K]

Answer:

$200L+$100B ≥$5000

Step-by-step explanation:

Given :

Hyun Yong wants to donate more than $5000 in laptops and bicycles.

Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100.

To Find : An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal.

Solution :

L denotes the number of laptops.

Since cost of each laptop is $200

Thus cost of L laptops = $200L

B denotes the number of bicycles.

Since cost of each bicycle is $100.

Thus cost of B bicycles = $100B

Now, he wants to donate more than $5000 in laptops and bicycles

So, inequality will be : $200L+$100B ≥$5000

Hence, An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal:

$200L+$100B ≥$5000

5 0
3 years ago
The waiting times on hold for a call to a customer service department are observed to have the following probability distributio
Elina [12.6K]

Answer:

b. 9.2 minutes

Step-by-step explanation:

To find the expected waiting time for a random call from the sampie given by using the formula:

\sum (f(X)) = \dfrac{\sum f (x) \times x}{\sum x}

number of calls (x)           waiting time f(x) in minutes         f(x) *(x)

0                                                     0                                         0            

2                                                     3                                         6

4                                                     10                                       40

6                                                     15                                       90  

8                                                     10                                       80

10                                                     6                                       60  

\sum x = 30                                                                          \sum f(x) *x = 276

Therefore:

\sum (f(X)) = \dfrac{276}{30}

\sum (f(X)) = 9.2

5 0
3 years ago
Two trees are in a garden. The 20-foot tree casts a shadow four feet long. If the other tree is 15-foot tall, how long will its
Kobotan [32]
They are similar triangles so 20/4=15/x
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x=3
4 0
4 years ago
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Answer:

40 people

Step-by-step explanation:

One for each person

3 0
3 years ago
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