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AlexFokin [52]
2 years ago
11

Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Mathematics
1 answer:
Oduvanchick [21]2 years ago
3 0

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

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Graph the solution set of this inequality: 5x − 4y > 20.
Yanka [14]

Answer:

Step-by-step explanation:

Solve the inequality 5x − 4y > 20 for y, as follows:  Subtract 5x from both sides, obtaining:

-4y > 20 - 5x;

Then divide all terms by -4:

y    < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.

Temporarily replace the < symbol with =     obtaining    y = -5 +(5/4)x.  Now choose at least three x values and find the corresponding y values.  For example:

 x      y = -5 +(5/4)x  

 0          -5

 4            0

 -8         -15

Now plot these three points (0, -5), (4, 0) and (-8, -15).  Draw a dashed line through them.  Because of the < symbol in y    < -5 +(5/4)x, shade the area underneath the dashed line.

3 0
3 years ago
Answer and explanation thanks
castortr0y [4]
75% of people enjoy rock music.

24÷32 = .75
5 0
3 years ago
Read 2 more answers
The cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where X=C/85-12/17 is the number
dybincka [34]

Given:

The cost C (in dollars) to participate in a ski club is given by,

\begin{gathered} C=85x+60 \\ (or) \\ x=\frac{C}{85}-\frac{12}{17} \end{gathered}

Where x is the number of ski trips we take.

To find:

The number of ski trips when a total cost of $315 and $485 is spent.

Explanation:

Substituting C = 315 in the given equation we get,

\begin{gathered} x=\frac{315}{85}-\frac{12}{17} \\ x=\frac{315-60}{85} \\ x=\frac{255}{85} \\ x=3\text{ ski trips} \end{gathered}

Substituting C = 485 in the given equation we get,

\begin{gathered} x=\frac{485}{85}-\frac{12}{17} \\ x=\frac{485-60}{85} \\ x=\frac{425}{85} \\ x=5\text{ ski trips} \end{gathered}

Thus,

If we spend a total cost of $315, we can take 3 ski trips.

If we spend a total cost of $485, we can take 5 ski trips.

Final answer:

• If we spend a total cost of $315, we can take 3 ski trips.

,

• If we spend a total cost of $485, we can take 5 ski trips.

8 0
11 months ago
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He
dsp73

The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Liam performs the experiment 62 times

Total number of outcomes = 62

A pineapple chew was selected 58 times.

A cherry chew was selected 2 times.

A lime chew was selected 2 times.

Now, the probability that the next chew Liam removes from the bag will be cherry chew:

P = 2/62

P = 1/31

P = 0.0322  or 0.03

Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

5 0
2 years ago
Find a solution for b3 = 8.
lilavasa [31]

Answer:

sln

b3=8(dived by 3 both sides)

b=8/3

I hope this help you

5 0
2 years ago
Read 2 more answers
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