Jason earns 5% commission as a salesperson. He sold a lawn mower that cost $90. How

What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

4 0

3 years ago

The line having an x intercept of 3 and y intercept of 10 Write this in Standard form Ax+By=C

Svetlanka [38]

Answer:

The standard form of the line is 10x + 3y = 10

Step-by-step explanation:

First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)

m(slope) = (y2 - y1)/(x2 - x1)

m = (10 - 0)/(0 -3)

m = 10/-3

Now we can write the equation in slope intercept form since we have the slope and the intercept.

y = mx + b

y = -10/3x + 10

Now we can manipulate the equation to get the standard form.

y = -10/3x + 10

10/3x + y = 10

10x + 3y = 30

5 0

2 years ago

Whats the answer??? Pleaseeee!!!!

kvasek [131]

To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.

The common difference is the number that we are adding or subtracting to reach the next term in the sequence.

Notice that the difference between 15 and 12 is 3.

In other words, 12 + 3 = 15.

That 3 that we are adding is our common difference.

So we know that our first term is 12.

Now we can continue the sequence.

12 ⇒ 1st term

15 ⇒ 2nd term

18 ⇒ 3rd term

21 ⇒ 4th term

24 ⇒ 5th term

27 ⇒ 6th term

30 ⇒ 7th term

33 ⇒ 8th term

36 ⇒ 9th term

39 ⇒ 10th term

42 ⇒ 11th term

45 ⇒ 12th term

48 ⇒ 13th term

51 ⇒ 14th term

54 ⇒ 15th term

57 ⇒ 16th term

60 ⇒ 17th term

63 ⇒ 18th term

66 ⇒ 19th term

69 ⇒ 20th term

This means that the 20th term of this arithemtic sequence is 69.

5 0

3 years ago

James and lena decide to share the cost of buying a car that costs $2500. If James agrees to pay $250 more than Lena, what is th

sesenic [268]

I believe it's $2250 since you just subtract.

4 0

3 years ago

Read 2 more answers

Solve 12x+6 2 9x+ 12.

Nadusha1986 [10]

Assuming that there are plus signs between the 6, 2, and 9 the answer is 21x+20

6 0

3 years ago