Nicholas uses a coordinate system with units of feet to keep track of any items he finds with his metal detector. One day he found a ring at (-2, -6) and a coin at (7, 6). How far apart were the ring and the coin?​

Answers

Answer 1

Answer: The distance between the ring and the coin = 15 units.

Step-by-step explanation:

Distance between two points (a,b) and (c,d) is given by :-

[tex]D=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Location of rine = (-2,-6)

Location of the coin = (7,6)

Then, the distance between the ring and the coin [tex]=\sqrt{(6-(-6))^2+(7-(-2))^2}[/tex]

[tex]=\sqrt{(12)^2+(9)^2}\\\\=\sqrt{144+81}\\\\=\sqrt{225}=15[/tex]

Hence, the distance between the ring and the coin = 15 units.


Related Questions

Can anyone help me with this please

Answers

A is the final answer to your question

Please do number 13 for me

Answers

57 snanwnnwnnwwnnwnwnwnnwwnnw

Which expression represents: the sum of the two products, 6 times y and 19 times n (6y)(19) (6 + 19) + n) Oby- 19n 6y + 19n​

Answers

Answer:

Sooooooo simple, jus figure it out :)

HELP PLZ IM STUCK.
Find the equation of the line.
Use exact numbers.
y =
x+

Answers

Y=x-5
The -5 is the y intercept on the graph

Answer: y = x - 5 ( just add a negative at the end )

Step-by-step explanation:

( 5,0) ( 0,-5)

0 - -5

5 - 0

5/5 = 1

y = x + b

0 = 5 + b

-5    -5

-5 = b

y = X - 5

a) What is the name of the line marked a?
b) What is the name of the line marked b?
c) What is the name of the line marked c?
d) What is the name of the line marked d?

Answers

a = tangent
b = radius
c = diameter
d = chord

Answer:

Step-by-step explanation:

raduis and diameter.

What is the coefficient of the second term of the trinomial? (In other words, what is B?)

(3x − 1)^2 = 9x^2 −Bx + 1

In the blank, write what B equals. Use only numbers - no letters or spaces.

Answers

Answer:

b = 6

Step-by-step explanation:

Let's solve for b.

(3x−1)2=9x2−bx+1

Step 1: Flip the equation.

−bx+9x2+1=9x2−6x+1

Step 2: Add -9x^2 to both sides.

−bx+9x2+1+−9x2=9x2−6x+1+−9x2

−bx+1=−6x+1

Step 3: Add -1 to both sides.

−bx+1+−1=−6x+1+−1

−bx=−6x

Step 4: Divide both sides by -x.

b = 6

Hope this helpss!!!

Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Gabriel remembers he has a coupon for $2 off his bill.

Gabriel has $30 to pay for the groceries. What simplified expression would represent the amount of change he should receive

Answers

Answer:

32 - 2.5x - 2y

Step-by-step explanation:

He bought 2.5 pounds weight of apples for x dollars a pound. Thus, cost is 2.5x.

He bought 2 bags of lettuce for y dollars each. Thus, cost is 2y

Total bill cost = 2.5x + 2y

We are told he has a coupon for $2 off his bill.

This means the amount he will pay will now be;

2.5x + 2y - 2

Gabriel has $30 to pay for the groceries.

Thus, his change will be;

30 - (2.5x + 2y - 2)

This gives;

32 - 2.5x - 2y

Answer:

D

Step-by-step explanation:

A bag contains only red, green, brown and yellow marbles. The probabilities of selecting each colour are shown below. Colour Red Green Brown Yellow Probability 0.2 0.3 x 0.1 Find the probability of selecting a brown marble.

Answers

Answer:

0.4

Step-by-step explanation:

Given that:

Probability of :

Red _____Green ___ Brown _____ Yellow

0.2 ______ 0.3 ______ X ________ 0.1

Since the bag contains only red, green, brown and yellow marbles ;

The sum of each color's probability should sum up to 1;

ΣP(x) = 1

Hence,

0.2 + 0.3 + x + 0.1 = 1

0.6 + x = 1

x = 1 - 0.6

x = 0.4

P(brown) = 0.4

Use the graph to tell whether the linear system has one solution, no solution, or infinitely man solutions.

Answers

The first one has one solution because the lines intersect at one point.
The second one also has one solution because the lines only intersect at one point.

Solve the following system of equations.

18x+6y=3018x+6y=30
18x+22y=1418x+22y=14

Answers

Answer:

(2, -1)

Step-by-step explanation:

Given system

18x+6y=30  18x+22y=14

Solve by elimination, subtract the equations and solve for y:

18x + 6y - 18x - 22y = 30 - 14-16y = 16y = -1

Find x by substituting y:

18x + 6(-1) = 3018x - 6 = 3018x = 36x = 36/18x = 2

The answer is: (2, -1)

Five integers have a mean of 8. The
integers are 7, 3, 10, 13, X. Find the
value of x.

Answers

Mean = (7+3+10+13+x)/5

(7+3+10+13+x)/5 = 8

(7+3+10+13+x) = 40
x = 40-7-3-10-13 =7

Please help and show work

Answers

Answer:

254.34 in²

Step-by-step explanation:

The diameter is 18, so the radius is 9. The formula for circumference is [tex]\pi r^{2}[/tex]. 9 squared is 81. 81 x 3.14 is 254.34.

Hope it helps!

The answer is 254.34

Explanation:

2/3 - 1/3 what the difference

Answers

Answer:

2/3 begins w a 2 and 1/3 begins w a 1. thats the difference.. hope this helped :)

Step-by-step explanation:

Answer:

.3333333

Step-by-step explanation:

because u have to math ight

The area of a rectangular field is 48m2 and one of its sides is 6m . How long will a lady take to cross the field diagonally at the rate of 20m/min

Answers

Answer:

It will take her approximately 28 seconds to cross the diagonal of the pitch

Step-by-step explanation:

If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.

Step one: Find the length of the field from its area.

The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.

i.e area = length X breadth.

Let us assume that the breadth = 6m

its length will be area / breadth = 42/ 6 = 7m

The length of the pitch = 7 m

Step Two: Find the length of the diagonal using Pythagoras' theorem.

From Pythagoras'theorem, the length of the diagonal  can be obtained by

[tex]diagonal = \sqrt{l^2 +b^2}[/tex]

[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]

The length of the diagonal is 9.22m

Step three: Find the time using her speed and the distance she needs to cover.

Time = distance / speed

time = 9.22 /20 = 0.46 minutes

It will take her approximately 28 seconds to cross the diagonal of the pitch

Please Solve so i can complete!!!!!!!! Quick Fasts

Answers

I tried but couldn’t figure out sorry.

2000:$5.00 2015:6.50 what is the change in the cost of the cheeseburger

Answers

Change means “difference in price”. Difference means subtraction.....so:
New price - old price = difference
6.50 - 5.00 = 1.50

If you want per year, there were 5 years between prices so divide by 5:
1.50/5 = 0.30 per year. So 30 cents every year or $1.50 overall

Which equation represents the line shown on the coordination grid below

Answers

Answer:

a

Step-by-step explanation:

mx+c

c is y intersect in this case -2

m is gradient, in this case its positive, therefore a

Rearrange to make subject x 4(x-3)/a=y

Answers

Answer:

answer is x = ay + 12/4

Step-by-step explanation:

first we cross multiply on both sides which will give us this

4( x -3)=ay

we then open the brackets by multiplying 4 with x and -3 which gives

4x - 12= ay

then take 12 to the other side

4x - 12+12= ay + 12

4x = ay + 12

divide 4 on both sides

4x /4= ay + 12/ 4

therefore x = ay + 12/ 4

clear steps in picture

hope that can help

Which expression is equivalent to (9x5y16/45x5y4)?

Answers

Answer:

the expression equal to this is 20 X /25 is the answer for the expression is 4 x/ 5

Step-by-step explanation:

Hello,

The answer is the first one - y^12/5

This diagram illustrates an unfolded part of a greeting card,
What is its area ?

Answers

the answer is 625 ......

Hola me podrían ayudar por favor. Convertir las fracciones a decimales y ubicar a los decimales en la recta numérica. a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 d. -7/4

Answers

Answer:

Step-by-step explanation:

a decimal

2/3 = 0.7

8/5 = 1.6

-5/2 = -2.5

7/4 = 1.8

9/2 =  4.5

-11/3 = -3.7

13/5 = 2.6

-7/4 = -1.8

Esto es solo un bosquejo del número, usando un gráfico, use 0.1 para una unidad en la recta numérica.

-  ________________________________________________________ +

  |    |     |      |     |       |      |       |     |     |     |    |       |     |     |      |     |     |       |            

-5  -4 -3.7  -3 -2.5  -2  -1.8   -1    0  0.7  1   1.6  1.8  2   2.6   3   4   4.5   5

29,30,32,35,39,\ Which is the next number in this pattern?
A) 42
B) 43
C) 44
D) 45
E) 46

Answers

Answer:

Step-by-step explanation:

It is a pattern of adding numbers like the first one is 29 add 1 = 30 add 2 = 32

Add 3 = 35 add 35 + 4 = 39 add 5 = 44

Option C 44 is the correct answer

An item has an original price of $45, it is discounted 25%. What is the new price?

Answers

25% off $45 is $33.75

evaluate -8y+x5 when x =2 and y= -3

Answers

Answer:

34

Step-by-step explanation:

Answer:


-24+-10 = -34

Explanation:

Any time when the letter and number together and says what is letter equal you must multiply!

For example: a=5

There is a equation and it says what is: 4a
It is the same thing as multiply so what you do is 4x5 since a is equal to 5 then boom, it’s that easy you’re answer is 20.

I just wrote this if you didn’t understand much about this topic, and I hope I helped! Enjoy! (:

Which expression is equivalent to 2x - 1/3(12x - 30)?
A. 2(x - 5)
B. -2(x + 5)
C. -2(x - 5)
D. 2(x + 5)

Answers

Answer:

C

Step-by-step explanation:

Calculator

Plssss help meee I need help

Answers

Answer:

no

Step-by-step explanation:

[tex]29^{2} \neq 20^{2} + 26^{2}[/tex]

3/4 (12x+8)=-13- (2x+3)

Answers

Answer: = − 2

Step-by-step explanation:

Remove parentheses.

3/4 (12x+8)=−13−2x−3

Simplify 3/4(12x+8) to 3(12x+8)/4.
3(12x+8)/4=-13-2x-3

Factor out the common term 4.
3x4(3x+2)/4=-13-2x-3

Simplify 3×4(3x+2) to 12(3x+2).
12(3x+2)/4=-13-2x-3

Simplify 12(3x+2)/4 to 3(3x+2)
3(3x+2)=−13−2x−3

Simplify −13−2x−3 to −2x−16
3(3x+2)=−2x−16

Expand
9x+6=−2x−16

Add 2x to both sides.
9x+6+2x=−16

Simplify 9x+6+2x to 11x+6.
11x+6=−16

Subtract 6 from both sides.
11x=−16−6

Simplify −16−6 to −22
11x=−22

Divide both sides by 11.
x=− 22/11

Simplify 22/11 to 2.
x=−2

A 7-meter roll of white paper costs $1.65. What is the unit price, rounded to the nearest cent?​

Answers

Answer:

$0.24 per meter

Step-by-step explanation:

Alright so to find the unit rate divide 1.65 by 7

1.65/7=0.2357142857142857...

So round it to the nearest cent

0.24

The height odf a regtangular pyramid is 4 inches. The base of the pyramid measures 9 inches by 9 inches. What is the volume of the rectagular pyramid in cubic inches?

Answers

Answer:

[tex]V=108\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

The height of a rectangular pyramid is 4 inches

The base of the pyramid measures 9 inches by 9 inches.

We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :

[tex]V=\dfrac{lbh}{3}[/tex]

Substitute all the values,

[tex]V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3[/tex]

So, the volume of the rectangular pyramid is [tex]108\ \text{inches}^3[/tex].

4x = 44

PLease help UNDEN

Answers

Answer:

x= 11

Step-by-step explanation:

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