HELP!!!! WILL MARK BRAINLIEST!!!!

9514 1404 393

Answer:

  (13.06, 16.41)

Step-by-step explanation:

Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.

The midpoint of AB is ...

  (A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)

The midpoint of AC is ...

  (A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)

__

The differences between points are ...

  B -A = (25, 10) -(15, 3) = (10, 7)

  C -A = (0, 20) -(15, 3) = (-15, 17)

Then the perpendicular bisector equations can be written as ...

  bisector of AB  ⇒  10(x -20) +7(y -6.5) = 0

     10x +7x -245.5 = 0

  bisector of AC  ⇒  -15(x -7.5) +17(y -11.5) = 0

     -15x +17y -83 = 0

These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...

  x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06

  y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41

The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).

_____

Further detail regarding the solution

Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...

  R -S = (∆x, ∆y)

The midpoint of segment RS can be called ...

  (R +S)/2 = (h, k)

Then the line that is a perpendicular bisector of RS can be written as ...

  ∆x(x -h) +∆y(y -k) = 0

This is the form that is used above.

__

The "cross multiplication method" for solving a pair of general-form linear equations ...

  ax +by +c = 0

  dx +ey +g = 0

will give the solution as ...

  1/(ae -db) = x/(bg -ec) = y/(cd -ga)

If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.

  [tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

Answer:

n = 14

Step-by-step explanation:

(n + 6)4 = 5

1. multiply by 4

n + 6 = 20

2. substract 6

n = 14

The required value of n is 14 in the given sum.

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.

According to the given question, we can write the algebraic form would be as:

⇒ (n + 6)/4 = 5

Apply the cross-multiplication operation,

⇒ (n + 6) = 5 × 4

Apply the multiplication operation,

⇒ (n + 6) = 20

⇒ n = 20 - 6

Apply the subtraction operation,

⇒ n = 14

Therefore, the required value of n is 14.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

pi/2 ... 2pi -square root 9..... and then pi +3

Step-by-step explanation:

pretty much the opposite of what it is now

Answer:

it is 1

Step-by-step explanation:

because the line goes through 1 on the y-axis

Answer:

The answer is 1

Step-by-step explanation:

Answer:

what are the units?

Step-by-step explanation:

depends on the side of 1 square

if it is 1 unit, perimeter is 22 units

Answer:

excuse me these words are some other language

Answer:

It's y= x-5

Step-by-step explanation:

Answer:

[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

Thus, -2 comes under the interval domain of the inequality (-∞, 3].

Hence, (-2, 6) is a solution to the linear inequality.

Step-by-step explanation:

Given the linear inequality

x ≤ 3

substitute the value of x = -2

-2  ≤ 3

TRUE

It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.

Also,

[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

Thus, -2 comes under the interval domain of the inequality (-∞, 3].

Hence, (-2, 6) is a solution to the linear inequality.

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

Answer:

3, by 100 times

Step-by-step explanation:

a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.

Answer:

120

Step-by-step explanation:

Exterior angle theorem

50 + 70 = 120

Answer:

120

Step-by-step explanation:

the insides of a triangle add up to 180 degrees. You're given 70 and 50 degrees which add to 120 and that means the other angle is 60 degrees. Since you're trying to find an outside angle, you need to do subtract the 60 degrees we just found from 180 (because its a supplementary angle). 180-60 is 120 and thats the answer

Answer:

I am sure it is the point N. I apologize if im wrong but the image quality is horrible. If I am wrong then it is O.

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)

Step-by-step explanation:

multiple the power and real number

Answers;

a) Multiply 2 by 3: 6ab.

b) Multiply [tex]c^{5}[/tex] by c by adding the exponents: c^6 or [tex]c^{6}[/tex].

c) Simplify the expression. 10y^7 or [tex]10y^{7}[/tex].

d) Simplify the expression. 12g^4h^5 or [tex]12g^{4}h^{5}[/tex].

Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

Answer:

t-5=12

Step-by-step explanation:

Answer:

The price of each CD before tax is $15.70

Step-by-step explanation:

Given that:

Number of CDs bought by Reuben = 5

Cost of five CDs = $81.50

Sales tax on each CD = $0.60

Sales tax on 5 CDs = 0.60*5 = $3.00

Price of CDs without tax = 81.50 - 3.00 = $78.50

Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]

Price of each CD = [tex]\frac{78.50}{5}[/tex]

Price of each CD = $15.70

Hence,

The price of each CD before sales tax is $15.70

Answer:

$157.5

Step-by-step explanation:

Given that:

Number of hours worked after the school = 1.5 hours

Earnings per hour = $3.50

Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25

Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25

Number of weeks for which Ob works = 6

Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days

Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5

Answer:

The answer is A I'm not 100 percent sure

Answer:

A.

81 − 49y2

Step-by-step explanation:

edmentum answer---

Answer:

1:4

Step-by-step explanation:

There are only two colours available, red and green.  We know that there are 11 red marbles and 55 marbles altogether, so the number of green marbles must be 55 - 11, or 44.  That means that the ratio of red to green marbles is 11:44, or 1:4.

Answer:

9 is the answer to that question

Answer:

a.

1 quarter=0.25

240*0.25=60

again,

b.349/60=5.81 weak

Answer:

Step-by-step explanation:

a) he saves £60 per week

b) 60 x 6= 360

   he needs to save £60 for 6 weeks to have enough money to buy a bike

Answer:

900

Step-by-step explanation:

K N

3x 5x

3x+150:5x-150=7:9

3x+150/5x-150=7/9

9(3x+150)=7(5x-150)

27x+1350=35x-1050

27x-35x=-1050-1350

-8x=-2400

8x=2400

X=2400/8

X=300

Kate money 3x=3×300=900

Answer from abid58b

Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!

Answer:

The height of the right circular cylinder is 4.55 inches ⇒ b

Step-by-step explanation:

The formula of the surface area of a right circular cylinder is

S.A = 2πrh + 2πr², where

∵ The surface area of a right circular cylinder is 300 square inches

∴ S.A = 300 in.²

∵ Its radius is 5 inches

∴ r = 5 in.

∵ π = 3.14

→ Substitute them in the rule above

∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²

∴ 300 = 31.4h + 157

→ Subtract 157 from both sides

∵ 300 - 157 = 31.4h + 157 - 157

∴ 143 = 31.4h

→ Divide both sides by 31.4

∵ 4.554140127 = h

∴ 4.55 = h

∴ The height of the right circular cylinder is 4.55 inches

Answer:

B.) 4.55

Step-by-step explanation:

Edge 2021

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

Answer:

$1,377

Step-by-step explanation:

the way that I did it-

100-25=75

1700x0.75=1275

8%=0.08, just add a 1 to the sales tax whenever you are calculating that.

1275x1.08=1377

therefore it is $1,377

brainliest would be appreciated :)