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3 years ago

Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Answer:

(x-4)^2 + (y-3)^2 =8

Step-by-step explanation:

The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3

(4,3)

The radius is the distance from the midpoint to an endpoint

This is 2sqrt(8)

So the equation is

(x-4)^2 + (y-3)^2 =8

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8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an

ololo11 [35]

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

We are given with a word problem
We are asked to find the number of unicorns played during the season
We can do this in two steps

Step 1: Finding the win percentage

Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$

5 0

2 years ago

5 liters of water weighs 11 pounds. A bucket contains 143 pounds of water. How many liters of water are in the bucket

slavikrds [6]

Answer:

65 liters

Step-by-step explanation:

11/5=2.2

143/2.2=65

4 0

3 years ago

PLEASE HELP 10pts

Veronika [31]

Answer:

Hence the function which has the smallest minimum is: h(x)

Step-by-step explanation:

We are given function f(x) as:

f(x) = −4 sin(x − 0.5) + 11

We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.

so the function f(x) receives the minimum value when sine function attains the maximum value since the term of sine function is subtracted.

Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)

Also we are given a table of values for function h(x) as:

x y

−2 14

−1 9

0 6

1 5

2 6

3 9

4 14

Hence, the minimum value attained by h(x) is 5. ( when x=1)

Also we are given function g(x) ; a quadratic function passing through (2,7),(3,6) and (4,7)

so, the equation will be:

$g(x)=ax^2+bx+c$ Hence on putting these coordinates we will get:

a=1,b=3 and c=7.

Hence the function g(x) is given as:

$g(x)=x^2-6x+15$

So,the minimum value attained by g(x) could be seen from the graph is at the point (3,6).

Hence, the minimum value attained by g(x) is 6.

Hence the function which has the smallest minimum is h(x)

6 0

3 years ago

Read 2 more answers

Determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter div

Lemur [1.5K]

The geometric series is convergent and the value is 16.

<h3>How to illustrate the information?</h3>

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Learn more about geometric series on:

brainly.com/question/24643676

#SPJ4

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

7 0

1 year ago

Find the perimeter of square of having 6cm length<br>

SIZIF [17.4K]

Answer:

24 cm

Step-by-step explanation:

Perimeter = (sx2) + (sx2)

= (6x2) + (6x2)

= 12 + 12

= 24 cm

7 0

3 years ago

Read 2 more answers