Find the center of the circle that can be circumscribed about ABC with A(0,0) B(6,0) C(6,4)

Answers

Answer 1

Answer: This can be solved by the distance formula.
If the center of the circle is at (h,k)
r² = (h - 0)² + (k - 0)²
r² = (h - 6)² + (k - 0)²
r² = (h - 6)² + (k - 4)²

Equating the equations
h² + k² = (h - 6)² + k²
h = 3

(h - 6)² + k² = (h - 6)² + (k - 4)²
k = 2

Therefore, the center of the circle is at (3,2).

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A yield sign is an equilateral triangle, with side length of 34 inches. How many square inches of material are needed to make a sign? Round your answer to the nearest tenth of a square inch.
The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius. Which week had greater variability in high temperature? Explain your reasoning.
I) Find the quotient and the remainder when 2x³-3x²+3x+2 is divided by x²-2x+1.ii) write 2x³-3x²+3x+2 in the form ax+b+(cx+d)/(x²-2x+1)

The endpoints of on are located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line on.

Answers

y = -1/2x +2 1/2
General equation;
y = mx + c

Calculating the slope;
Change in y/ (change in x) = gradient m

(2-1)/(1-3) = - 1/2

Replacing m gives;
y= -1/2x + c

Calculating the value of c
take point (1,2) above and replace y with 2 and x with 1
2=-1/2 *1 +c
c = 2 1/2
Equation then is
y = -1/2x +2 1/2

A number cube is rolled 24 times and lands on 2 four times and on 6 three time.Find the experimental probability of not landing on a 6

Answers

Probability is the ratio of the favorable event to the total number of events. The experimental probability of not landing on a 6 is 0.171.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

A number cube is rolled 24 times and lands on 2 four times and on 6 three times.

The probability of getting 2 will be

$\rm P(2) = (1)/(6)$

The probability of getting 6 will be

$\rm P(6) = (1)/(6)$

The probability of not landing on a 6.

$\rm \bar{P}(6) = (5)/(6)$

The experimental probability of not landing on a 6.

$\rm P (not \ 6) = ^(24)C_5 *((1)/(6))^5 *((5)/(6))^(19)\n\nP (not \ 6) = 0.171$

The experimental probability of not landing on a 6 is 0.171.

More about the probability link is given below.

brainly.com/question/795909

What is the slope of (2,3) , (6,7)

Answers

Answer:

If you're given two points (x1, y1) and (x2, y2), the slope is (y2 - y1)/(x2 - x1);

We have ( 7 - 3 )/(6 - 2) = 4 / 4 = 1;

Step-by-step explanation:

Answer:

4/4=1

Step-by-step explanation:

One half of the birds at a pet store were yellow. Tara buys one. Then 1/3 of the birds left are yellow. How many yellow birds were left at the store before Tara bought them?

Answers

$x-the\ number\ of\ yellow\ birds\ at\ the\ beginning,\ \ \ x>0\n \n (x-1)/(2x) = (1)/(3) \n \n3\cdot(x-1)=2x\cdot1\n \n3x-3=2x\ \ \ \Rightarrow\ \ \ 3x-2x=3\ \ \ \Rightarrow\ \ \ x=3\n \n Ans.\ the\ number\ of\ yellow\ birds\ at\ the\ beginning\ is\ 3$

What is the first step to solve this equation -11-3x=44

PLEASE ANSWER AS SOON AS POSSIBLE I AM IN A RUSH

Answers

Answer:

First step, add 11 to 44.

Step-by-step explanation:

After that, divide both sides by negative 3.

An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach 1,000 followers? Use at least two different methods to come up with your answer.

Answers

It will take $6$ week to reach $1000$ followers.

First, we are using two step to find the answers.

Division
Addition

Division:

By given, A artist has $85$ followers.

Every week the no. of. followers is doubled .

Now, find how many week the artist reach $1000$ followers.

Since week followers is doubled,

So , $85*2$

Thus,

$1000/(85*2)\n\n=1000/170\n\n=5.883$

Which is not possible .

Then, it take $6$ week to reach the $1000$ followers.

Addition:

By given, A artist has $85$ followers.

Every week the no. of. followers is doubled .

To find how many week the artist reach $1000$ followers.

Now, the first week has $85$ followers.

$85$ followers doubled.

$85+85=170$ followers doubled in every week .

Then,

Second week has $85+85=170$ followers.

Third week has $170+170=340$ followers.

Fourth week has $340+170=680$ followers.

Fifth week has $680+170= 850$ followers.

Sixth week has $850+170= 1020$ followers.

Hence, the artist reach $1000$ followers in mid week of $5$ to $6$ week .

so, it approximately take $5.88$ week to reach $1000$ followers but which is impossible to take decimal in week .

Thus, the artist take $6$ week to reach the $1000$ followers.

For more information:

brainly.com/question/17367033

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

1st 2nd 3rd 4th 5th 6th week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

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Please answer correctly!! I’ll mark as brainliest! No links no fake answers

If a circle c with radius 1 rolls along the outside of the circle x2 + y2 = 36, a fixed point p on c traces out a curve called an epicycloid, with parametric equations x = 7 cos t − cos 7t, y = 7 sin t − sin 7t. find the area it encloses