Help needed. 30 points to complete the table and do the second part.

Answer:

9 is the answer to that question

Answer: D

Step-by-step explanation:

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:

xy=3

QR =12

Step-by-step explanation:

Answer:

Step-by-step explanation:

XY is 3 (B)

QR is 12 (B)

Brainliest? Have a good day!

Answer:

16/g

Step-by-step explanation:

Answer:

the correct answer is 16÷g

Step-by-step explanation:

why 16÷g because the explanation said 16 braided bracelets. and the gift boxes was g so i think its 16÷g

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:

p= 18,275

Step-by-step explanation:

The function would be p=29,175(-0.925)^t. You would then substitute t for 6 and solve from there to get p=18,275.

Did it help at all?

Answer:

The equation that can be used to determine the number of rounds that Emma golfs is:

x=(c-7.50)/6.25

Step-by-step explanation:

From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:

c=7.50+6.25x, where:

c is the total cost for Emma to go miniature golfing

x is the number of rounds

Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:

x=(c-7.50)/6.25

You can replace c with 26.25:

x=(26.25-7.50)/6.25

x=18.75/6.25

x=3

Answer:

[tex]x \geq -42[/tex]

Step-by-step explanation:

      [tex]3 - \frac{x}{2} \leq 18[/tex]

  subtract 3

      [tex]- \frac{x}{2} \leq 15[/tex]

  multiply by two

      [tex]-x \leq 30[/tex]

  devide by -1 and flip the sign

       [tex]x \geq -30[/tex]

Answer:

68.8

Step-by-step explanation:

100% = x number

96% = 66

so 100%

= 68.75

to the nearest tenth is 68.8

Answer:For this case we observe that the 2 angles of the triangle are equal. Also, we have by definition:

A triangle is , when the three sides are connected(in addition, the three internal angles measure 2 angles 45 degrees and 1 angle 90

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

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:

0

Step-by-step explanation:

because if the number is not higher than 50, you have to round down.

Answer:

i think they both scored the same

Answer:

Colton did.

Step-by-step explanation:

Jack's score was 80%.

Colton got a score of 83.33...

I got Colton's score by solving 10/12.

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

31 31- I'm just dragging this out cause the thing wants me to type more

Answer:

its c

Step-by-step explanation:

Answer:

y = 6.32

Step-by-step explanation:

7^2-3^2= 40

hope it helped

Answer:

h'(t)=88

Step-by-step explanation:

h'(t)=d/dt (-16t x 2 + 120t + 10

h'(t)=d/dt (-32t + 120t + 10)

h'(t)=d/dt (88t + 10)

h'(t)=d/dt (88t) + d/dt (10)

h'(t)=88 + 0

Answer:

2.5 minutes

Step-by-step explanation:

Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.

Answer:

x>50

Step-by-step explanation:

Answer:

x < 25

Step-by-step explanation:

Given

- 2x > - 50

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity

x < 25

Answer:

slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

[tex]y-2=\frac{-4}{5} (x+3)[/tex]

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

Thus, our two equations are:

slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]

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:

4 books

Step-by-step explanation:

15-3=12

12/3=4

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:

D, I think, pls don't report if im wrong

Step-by-step explanation: