Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 88 and -92

Answers

Answer 1

Answer:

The distance between them is 180 units

Step-by-step explanation:

Given

[tex]a = 88[/tex]

[tex]b = -92[/tex]

Required

Using absolute value, calculate the distance between them

The distance d is calculated as:

[tex]d = |b - a|[/tex]

Substitute values for a and b

[tex]d = |-92 - 88|[/tex]

[tex]d = |-180|[/tex]

[tex]d = 180[/tex]

It can also be calculated using:

[tex]d = |a - b|[/tex]

Substitute values for a and b

[tex]d = |88 - (-92)|[/tex]

Open bracket

[tex]d = |88 +92|[/tex]

[tex]d = |180|[/tex]

[tex]d = 180[/tex]


Related Questions

Find the inverse of the following function. g(x) = 1/x - 2

plz show work

A.) g^-1(x) = - 2/x-1

B.) g^-1(x) = 2/x-1

C.)g^-1(x) = 1/x+ 2

D.) g^-1(x) = 2/x+1

Answers

Answer: C. g^(-1) (x)= 1/(x+ 2)

Step-by-step explanation:

y=1/x-2

x=1/y-2

1/y-2=x

1/y=x+2

1=(x+2)y

1=xy+2y

xy+2y=1

(x+2)y=1

y=1/(x+2)

answer: g^(-1) (x)= 1/(x+ 2)

The bottom part of this block is a rectangular prism. The top part
is a square pyramid. How much paper is needed to completely
cover the block? Explain.​

Answers

Answer:

Check question number 9 in that file you may be able to understand the problem

Step-by-step explanation:

Please solve -6+7x=50

Answers

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6+7x=50

Step 1: Simplify both sides of the equation.

7x−6=50

Step 2: Add 6 to both sides.

7x−6+6=50+6

7x=56

Step 3: Divide both sides by 7.

7x/7 = 56/7

x=8

have a wonderful day

Keith buys 6 pencils for 90p how much would 11 pencils cost

Answers

Answer:

keith buy 11 pencils at the cost of 165 paise

Step-by-step explanation:

6 pencils cost = 90 paise

so 1 pencil cost = 15 paise

I'm pretty sure 165 p

I need help please rndnddmdndnxxnxx

Answers

9514 1404 393

Answer:

  a) f(-2.5) = 62.6875; f(-1.5) = -13.0625; (-2.5, -1.5) contains a real root

  b) there are 1 each of positive and negative real roots; 2 complex roots

  c) -2 and 1/3 are the rational real roots

  d) x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}

Step-by-step explanation:

a) f(-2.5) = 62.6875; f(-1.5) = -13.0625. The function changes sign between -1.5 and -2.5, so there is a real root in that interval.

__

b) The given coefficients have one sign change, so there is one positive real root. Changing the signs of odd-degree terms makes the signs + - + - -, so there are three sign changes. There are 1 or 3 negative real roots, and possibly 2 complex roots. The constant term is non-zero, so zero is not a root. Here's your table:

  positive real roots: 1

  negative real roots: 1 or 3

  complex roots: 2 or 0

  zero roots: none

The graph is attached. It shows 2 real roots, one positive and one negative, so there are 2 complex roots. (There are 4 roots in total, so if only 2 are real, the other 2 are complex.)

__

c) Possible rational roots are of the form ...

  ±{1, 2}/{1, 3, 9}

Listed, they are ...

  ±{1/9, 2/9, 1/3, 2/3, 1, 2}

The actual real roots are -2 and 1/3.

__

d) The graph shows the real roots to be -2 and 1/3. The original leading coefficient of 3 is the product of the leading coefficients of the factors. Writing the factor (x -1/3) as (3x -1) lets us reduce the leading coefficient of the quadratic term from 9 to 3. The result of dividing factors (x+2) and (3x-1) from the original function is shown in the attachment. It is a parabola with vertex (-1/3, 2/3), so the factorization is ...

  f(x) = (x +2)(3x -1)(3(x +1/3)² +2/3)

The roots of the quadratic term are ...

  3(x +1/3)² = -2/3

  x +1/3 = ±√(-2/9)

  x = (-1 ±i√2)/3

So, the entire list of roots is ...

  x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}

_____

Additional comment

The roots of a quadratic are easily found by knowing its leading coefficient and its vertex. If factoring known real roots from a higher-degree polynomial results in a quadratic, then the remaining complex roots are easily found. A graphing calculator is a wonderful tool for this process.

HELP QUICK ILL GIVE TOU BRAINLIEST
find the surface area...

Answers

Answer: 483.09 in^2
Explanation: 12, 11, 10, 12

help help meeee!!!!!

Answers

Answer:

The correct answer will be $725

Answer:I believe it is $725

Step-by-step explanation: 12.50(1+0.16)

= 14.5 then 14.5 times 50 = 725

At camping trip, you have the option of seating in a small table or a large table. A small table fits 5 campers who will share 2 pizzas. A large table fits 6 campers who will share 3 pizzas.

Assuming the pizza is shared evenly among the table , at which table do you get the most pizza? Explain how you know.

Answers

Answer:

i will be at small table bcz i will get more pizza there

At the small table each camper would get 3.2 slices (16/5), whilst at the large table each camper would only get 3 slices (24/6). Hence, you would get more pizza at the small table.

How heavy is a 225 meter cable if a 3 meter section weighs 1.3 kg?

Answers

97.5 kg

225/3=75
75 x 1.3 = 97.5

What is the area of the composite figure?

Answers

Hello! :)

[tex]\large\boxed{A = 32.5cm^{2}}[/tex]

We can use the following area to solve for the area of the trapezoid pictured:

[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]

Where:

h = height

b1 = bottom base

b2 = top base

Plug in the given values:

[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]

Simplify:

[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]

Write the percent as a fraction in simplest form.
36% =

Answers

Answer:

36%= 9/25 in fraction form (:

Answer:

36/100 sorry if wrong

Step-by-step explanation:

23 inches is what fraction of a yard

Answers

Answer:

0.6

Step-by-step explanation:

1 inch = 0.0278

so 23 inches = 0.6 yard

Anthony has 46 pieces of gum and eats 2 pieces per day. Javier has 54 pieces of gum and eats 3 pieces of gum each day. In how many days will Anthony and Javier have the same amount of gum?

Answers

Day 9
Because
D1 :46 / 54
D2 : 44 /51
D3: 42/48
D4:40/45
D5:38/42
D6:36/39
D7:34/36
D8:32/33
D9:30/20

Answer:

in 9 days

Step-by-step explanation:

..

A. A
Which list is in order from least
greatest? 3/8 2/5 3/4 2/3

Answers

Answer:

Answer:

Order from Least to Greatest

3/8 < 2/5 < 2/3 < 3/4

Step-by-step explanation:

Ricardo works as a real estate agent. he earns 6% commission for every how he sells. last month, Ricardo sold two homes. One sold for $135,000 and the other sold for $160,000. how much did Ricardo earn by selling these two homes?

Answers

Add the two houses together:

135000 + 160000 = 295,000

Multiply the total by the percentage:

295,000 x 0.06 = $17,700

He earned $17,700

how much is 1/2÷8×57÷13+15

Answers

Answer:

Use the BODMAS method and at the end work the fraction left by adding it to 15

My answer was 15.274

Which expression is the same as (2 x 7) x 3 ?

Answers

Answer:

[tex]42x^{2}[/tex]


Solve for x:
3x – 2(6 - x) = 7x + 2(5 + x) – 6

Answers

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x         -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

Drag and drop the correct terms to classify the triangles based on sides or angles.

Answers

1. Equilateral
2. Isosceles
3. Scalene
4. Right
5. Acute
6. Obtuse

The triangles are classified below.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An equilateral triangle is a triangle where all three sides are equal.

The right triangle is a triangle where one angle is 90 degrees.

An isosceles triangle is a triangle where two sides are equal.

An obtuse triangle is a triangle where the angle is greater than 90 degrees

An acute triangle is a triangle where the angles are less than 90 degrees.

A scalene triangle is a triangle where all three sides are different.

Now,

Side 5 cm, 5 cm, 5 cm, and 5 cm is an equilateral triangles.

Since all the sides are the same.

Sides of 3 cm, 5 cm, and 5 cm is an isosceles triangle.

Since the two sides are the same.

Sides of 3 cm, 5 cm, and 7 cm is a scalene triangle.

Since all three sides are different.

Angles of 40°, 50°, and 90° is a right triangle.

Angles of 40°, 60°, and 80° is an acute triangle.

Angles of 40°, 40°, and 100° is an abtuse triangle.

Thus,

The triangles are classified above.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ5

What is the constant proportionally of the graph
Help me

Answers

Answer:

The constant proportionally of the graph is:

k = 8

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

k = 8

Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?

Answers

Answer:

5m^2

Step-by-step explanation:

Given data

Length of board= 2.50m

Width of board= 2m

The cover need should have the same area as the board

Area= Length*Width

Area= 2.5*2

Area=5m^2

Hence the area of the cover is 5m^2

An environmental study was conducted. It reported that houses with more inhabitants do not necessarily produce more or less trash. What can be determined?
A. There is no correlation between number of inhabitants and amount of trash produced.
B. There is a correlation between number of inhabitants and amount of trash produced. However, there is no causation. This is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants.
C. There is a correlation between number of inhabitants and amount of trash produced. There may or may not be causation. Further studies would have to be done to determine this.

Answers

Answer:

C.

Step-by-step explanation:

There's no problem for now but it still needs to be monitored in case something might happen.

Find the area of these shapes

Answers

Answer:

Step-by-step explanation:

Left figure:

area of rectangle = 4×6 = 24 cm²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×6×4  = 12 cm²

area of shape = 24+12 = 36 cm²

Right figure:

area of rectangle = 6×8 = 48 m²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×8×(8-6) = 8 m²

area of shape = 48+8 = 56 m²

Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)

Answers

Answer:

b

Step-by-step explanation:

Answer:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Checking option A:

(2, 4), (0, 2), (2, -4), (5,3)

Here, the input x = 2 is repeated twice.

Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option B:

(1,6), (2,7),(4,9), (0,5)

It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.

Thus, the option B represents the function.

Checking option C:

(0, 2), (2, 3), (0, -2), (4,1)

Here, the input x = 0 is repeated twice.

Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option D:

(1, 2), (1, -2), (3, 2), (3, 4)

Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,

Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.

Conclusion:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Can you help me please with this

Answers

-39/100 is the answer according to me ..

Plz mark me as brainliest if u found it helpful

is that true that r is the set of counting numbers from 7 to 12 is in a roster notation​

Answers

Yes it is true 7to 12 is in a roster notation

PLEASE HELP 22 POINTS

Answers

Answer:

y = 15 m<a = 78 m<b = 68

Step-by-step explanation:

(5y+3) + (4y+8) --> 9y + 11

9y + 11 = 146

y = 15

plug in 15 into the equations for the angles and you get

m<a = 78

m<b = 68


[tex] \sqrt{361} [/tex]


Answers

Answer:

19

Step-by-step explanation:

Answer:

19

Step by step explanation:

HELP HELP HELP HELP HELP PLEASE PLEASE!!!!!!

Answers

I did something very very similar to this bu it was couple years ago

9514 1404 393

Answer:

  84 = j × 7

Step-by-step explanation:

A product results from multiplying two numbers. Here, the two numbers are said to be "Julie's score" and 7. "Julie's score" is represented by j, so the product is ...

  j × 7

Then the translation can be ...

  84 is the product of j and 7

  84 = j × 7

__

In algebra, we can indicate a product without the multiplication symbol, simply by writing the factors next to each other. Generally, we write the numeric factor first:

  84 = 7j . . . . another way to write the answer

Note that this latter method does not seem to appear in the forms available for your answer box.

(GIVING BRAINLYIST) 4 ÷ 1/2 YOU HAVE TO show your work on paper using fraction models!

Answers

Answer:

8

Step-by-step explanation:

so my school uses the method called kcf (keep change flip)

keep the 4

change the division sign to a multiplication sign

flip 1/2 to 2/1

4x2=8

Answer:

8 i first said two but used a caculater and found out it was 8

Step-by-step explanation:

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