Using the ruler postulate, find the distance between –9 and 2.

Answers

Answer 1

Answer:

11 units

Step-by-step explanation:

According to ruler postulate, if there are two points A with coordinate a

and point B with coordinate b, \

then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.

mathematically it can be represented as

AB = |a-b| or |b-a|

_________________________________________

in the given problem points are -9 and 2

thus distance

distance between –9 and 2  = |-9 -2| = |-11|  = 11

absolute value of -11 is 11

alternatively, distance can be calculated as

distance between –9 and 2  = |2 -(-9) | = |2 + 9 | = |-11|  = 11


Related Questions

Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1

Answers

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

Solve for x and y adding
2x + 4y = 16
-5x-4y = 16
Show work

Answers

Answer:

x = -32/3

y =28/3

Step-by-step explanation:

2x + 4y = 16

-5x-4y = 16

Add the equations

2x + 4y = 16

-5x-4y = 16

--------------------

-3x = 32

Divide each side by -3

x = -32/3

Now solve for y

2x+4y = 16

2(-32/3) +4y = 16

-64/3 +4y = 16

Multiply each side by 3 to get rid of the fractions

-64 +3*4y = 16*3

-64 + 12y = 48

Add 64 to each side

12y = 112

Divide by 12

12y/12 = 112/12

y =28/3

Mrs. Linda has 17.16 cups of brownie mix. If each
brownie uses 0.33 cups of mix, how many
brownies can Mrs. Linda make?

Answers

Answer:

52 brownies

Step-by-step explanation:

If you divide 17.16 by 0.33, you get 52

The point (-2, -3) is on a circle that has center (-2,6). Find the length of the diameter of the circle.

Answers

Answer:

18

Step-by-step explanation:

√(-2 - -2)² + (6 - -3)² = 9 = radius

diameter = 2r = 18

What angle measure is complementary to a 65 angle?

Answers

Answer:

x = 25

Step-by-step explanation:

Complementary angles add to 90 degrees

x+65 = 90

Subtract 65 from each side

x = 90-65

x = 25

The Definition of Complementary Angles states that if two angles are

complementary, then the sum of their measures is 90°.

To find the complement of an angle, we take 90 degrees minus the

measure of the angle which in this case 90° - 65° or 25°.

So the complement of the 65° angle measures 25°.

Not a test just that. ? Is throwing me off after 25x what does that mean genuinely confused

Answers

Answer:

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).

Step-by-step explanation:

Its right?

3 Euros can be exchanged for 22.41 Kroners. How many Euros can be exchanged for 100 Kroners?

Answers

the answer is 4.4 Euros

Answer:

13.39 Euros

Step-by-step explanation:

The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809

U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help​

Answers

Answer:

6

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.

Answers

Answer: the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = -2/3

Could you plz help me with this one question

Answers

The answer is 90

Hope this helped

Answer:

90 degrees.

Step-by-step explanation:

Add all of the degrees together 270 plus 90 its makes a 360 degree.

Which multiplication equation can be used to solve
1/6 divided by 5

Answers

Answer: 1/6x1/5

You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.

Hope this helps <3

-Carrie

Be sure to mark brainliest

:)

1) A microbiologist measures the length of a bacterium of 0.000163 m and the

length of yeast as 0.0087 mm.

a) Which is longest? (Hint: Both must be the same units)

b) How much longer is the longer specimen than the shorter specimen?

Answers

Answer:

a) The bacterium is longer;

b) The bacterium is 0.1543 mm longer than the yeast.

Step-by-step explanation:

In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.

[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]

a) The bacteria is longer than the yeast.

b) We need to subtract their length in order to find this answer:

[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]

Help please I need the answer

Answers

____________________________________

Hey!!

Solution,

Diameter (d)=17 cm

Radius(r)=17/2=8.5 cm

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*8.5

=53.38 cm

The right answer is 53.4cm

Hope it helps

Good luck on your assignment

_________________________________

Attention!

I have tons of math questions waited to be answer on my page check them out and get points!

Answers

Answer:

ok

Step-by-step explanation:

ok

Answer:

I will try but how many are there?

Step-by-step explanation:

Please help! Read question 5.

Answers


1 centimeter =10 millimeters
10x3=30millimeters
30+47=77 millimeters
Hope that helps :).

What is the equation of the graphed line written in standard form?


A. x=-3

B. y=-3

C. x+y=-3

D. x-y=-3
I know the pictures black It's just showing a vertical line going through -3 on the x-axis (The blue line)

Answers

The answer should be A

ANSWER ASAP -4x-4/3=x-6

Answers

Answer:

x = 0.9333333

Step-by-step explanation:

-4x - 4/3 = x - 6                    Multiply through by 3

-12x - 4 = 3x - 18                  Add 12x to both sides

-12x+12x-4 = 3x+12x - 18     Combine like terms

-4 = 15x - 18                         Add 18 to both sides

-4+18=15x - 18 + 18              Combine like terms

14 = 15x                                Divide by 15

14/15 = x

x = 0.933333

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train
travels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?
Do not do any rounding.

Answers

Answer:

2.4 hours

Step-by-step explanation:

after an hour the distance between them will be 80+70=150 miles

1 hour  .......150 m

x hours .......360 m

x*150=360

x=360/150

x=2.4 hours

Answer: 2.4 hours

Step-by-step explanation:

Distance = speed x time

1st train = 80t

2nd train = 70t

80t + 70t = 360

t = 360/150 = 2.4 hours

Stella needs fencing for the perimeter of a
rectangular garden that is 16 feet long and
4 feet wide. The fencing she wants is sold
in yards. How many yards of fencing will
she need to buy for the entire perimeter?
(3 feet = 1 yard)

Answers

Answer:

[tex] \boxed{Fencing \: need \: to \: buy \: for \: the \: entire \: perimeter = \frac{40}{3} \: yards} [/tex]

Step-by-step explanation:

Length of rectangular garden (l) = 16 feet

Width of rectangular garden (w) = 4 feet

[tex] 3 \: feet = 1 \: yard \\ \\ 1 \: feet = \frac{1}{3} \: yard [/tex]

[tex] \\ = > Perimeter \: of \: rectangular \: garden = 2(l + w) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(16 + 4) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40 \: feets \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =40 \times \frac{1}{3} \: yards \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{40}{3} \: yards[/tex]

The figure is made of rectangular prisms. What is the volume?
6 cm
15 cm
10 cm
3 cm
6 cm
3 cm
3 cm
3 cm
318 cm
225 cm
13
159 cm

Answers

What are the sides of the rectangular prisms ?

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.

Answers

Answer:

one dollar 75 cents

Step-by-step explanation:

lets write the original equation again

5v+7f=28.70

now, lets put in the cost of the fruit to find cost of veggies

5v+7(2.85)=28.70

5v+19.95=28.70

5v=8.75

5=1.75

Answer:

Answer: $1.75

Step-by-step explanation:

Each pint of fruit = $2.85

7 pints of fruit = 2.85 x 7 = 19.95

5 pints of veggies will cost

28.70 - 19.95 = 8.75

Each pint of veggies = 8.75 / 5 = 1.75

for an angle 0 with the point (-5,-12) on its terminating side, what is the value of cosine?
A. -5
B. -12
C. -5/13
D. -12/13

Answers

Answer:

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.

Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the
water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
The following equation describes this situation
14.2 + (-16,5) = -23
What does -16.5 tell us?

Answers

Answer:

AnSwEr Is C

Step-by-step explanation:

in khAN

The value  -16.5 tells us the displacement between his current position and his initial position.

What is displacement?

Displacement is defined as the minimum distance between two points. It is a vector quantity and needs direction with magnitude.

It is given that

Initial position =14.2 m

Final position=-2.3 m

14.2+(16.5)=-2.3

To understand this, we need to first calculate the displacement between his initial and final position

Displacement = Final pposition - Initial position

Displacement= -2.3-14.2

Displacement =-16.5 m

So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)

To know more about Displacement follow

https://brainly.com/question/248054

does anyone know how to do this ?

Answers

Step-by-step explanation:

The circumference of a wheel is 0.46π, and we simply have to multiply that by 829 which is 381.34π or 1197.41.

Answer:

see below

Step-by-step explanation:

Find the circumference

C = 2 * pi *r

C = 2(.23) * pi

C = .46pi

Since the wheel rotated 829 times, multiply the circumference by 829

829 * .46 pi

381.34 pi

If  pi = 3.14

1197.4076 meters

If using the pi button

1198.01494 meters

.Two year ago my age was x years, then what was my age 5 years ago?
(1 Point)
x + 7
x -2 - 5
x - 5
x - 3

Answers

X-5 is the correct one I think

A serving tray is in the shape of a rectangular prism without a top. The dimensions of the tray are 8 inches by 10 inches by 2 inches. What is the surface area of the tray?
A: 152 square inches
B: 212 square inches
C: 216 square inches
D: 232 square inches

Answers

Answer:

it's a 152

Step-by-step explanation:

The surface area of the rectangular prism is S = 232 inches²

What is the surface area of the prism?

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

A serving tray is in the shape of a rectangular prism without a top.

And , dimensions of the tray are 8 inches by 10 inches by 2 inches.

So , surface area A = 2(80) + 2(16) + 2(20)

A = 160 + 32 + 40

A = 232 square inches

Hence , the surface area is 232 inches²

To learn more about surface area of prism click :

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If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.

Answers

Answer:  y = 12/(x^2)

============================================================

Explanation:

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value, so the answer is confirmed.

The equation that connects x and y, is,   y = 12/(x^2).

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value,

Hence, The equation that connects x and y, is,   y = 12/(x^2).

To learn more on equation click:

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Which properties justify the steps taken to solve the system? {3x−2y=104x−3y=14 Drag and drop the answers into the boxes to match each step.

Answers

Answer:

Just took it!

Step-by-step explanation:

The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:

Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}

Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}

Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}

Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}

Therefore, the solution to the system is (x, y) = (2, -2).

Learn more about simultaneous equations here:

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6-5 solving rational equations 8/x+3=1/x+1

Answers

Answer:

x = -5/7

Step-by-step explanation:

8/(x+3)=1/(x+1)

Using cross products

8*(x+1) = 1*(x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x+3-x

7x +8 =3

Subtract 8 from each side

7x+8-8 = 3-8

7x = -5

Divide by 7

7x/7 = -5/7

x = -5/7

plsssss helppppp i need to do this work in 10 min plss helpp

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5

You're welcome and don't forget to click THANKS

Answer:

3/2 or 1.5

Step-by-step explanation:

Change in y/ Change in x

3/2

1.5

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