What is the length of NM?

Answer:

9 is the answer to that question

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:

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:

350miles

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: x =  √9/8

answer is x = square root of 9/8

Step-by-step explanation:

Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

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:

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:

1400< 350d (its less than or equal to, but i cant put the bar under.

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

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:

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:

76.5

Step-by-step explanation:

25.50 x 3 = 76.5

Answer:

$8.50

Step-by-step explanation:

put 25.50/3 and you get 8.50

Answer: D

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

[tex]m=\frac{1-7}{4-6}=\frac{-6}{-2}=\boxed{3}[/tex]

Hope this helps.

Answer:

3

Step-by-step explanation:

y¹-y²

------

x¹-x²

substitute then solve.

7-1 6

------ --> ----

6-4 2

6/2=3 so slope is 3.

Answer:

excuse me these words are some other language

Answer:

It's y= x-5

Step-by-step explanation:

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:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month

Answer:

are you sure it is not 180? if it is it is 12.87

but if it is 238 it is 21 days or something close

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.

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:

44

Step-by-step explanation:

This is called the Tribonacci sequence. In this sequence, you add the last 3 numbers together to get the next number in the sequence.

For example, 0+1+1=2, 1+2+4=7, 4+7+13=24 and so on.

7+13+24=44

44 is the next number in the sequence

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:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation: