Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference? A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units. Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. The distance is exactly the difference. The distance is the absolute value of the difference. The distance is not related to difference.

Answers

Answer 1

Answer:

C) The distance is the absolute value of the difference

Step-by-step explanation:

We are interested in the last two columns.

If we compare them we see that each value of the distance column is the absolute value of corresponding value of difference:

a - b        = 1, 5, - 3distance  = 1, 5, 3

Corect choice is C

Answer 2

Answer:

The distance is the absolute value of the difference.

Step-by-step explanation:

Given table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} a & b & a+b & a-b & \sf distance\\\cline{1-5} 1 & 2 & 3 & -1 & 1 \sf \: unit\\\cline{1-5} 4 & -1 & 3 & 5 & 5 \sf \: units\\\cline{1-5} -6 & -3 & -9 & -3 & 3 \sf \: units\\\cline{1-5}\end{array}[/tex]

The difference is column 4.

The distance is column 5.

The absolute value of a number is its positive numerical value.  It is denoted by a vertical line either side of the real number.

For example, |5| means 'the absolute value of 5', and |-5| means 'the absolute value of -5'.

Taking the absolute values of the differences:

⇒ |-1| = 1

⇒ |5| = 5

⇒ |-3| = 3

Therefore, the distance is the absolute value of the difference.


Related Questions

Question is attached

Answers

The correct is x=-2 and x=5



X^2-3x-10
X^2-5x+2x-10

Now group them

X(x-5)+2(x-5)

Again group them

(x-5)+2(x-5) =0

(X+2)(x-5)=0


Hopefully that makes sense to u
Keep the good luck

What is the range of the polynomial y = 3x3 - 3x2 - 3x + 8 in interval notation?

Answers

Answer:

(-∞,∞)

Step-by-step explanation:

A quilt is made of 12 squares of equal size. Each square measures 15 cm by 15 cm.
What is the area of the quilt?

Answers

Answer:    12    x    15= 180 cuadrados

juas juas juas 180  +   180  = 360


15 x 15 cm = 360

Step-by-step explanation:

Answer:

Its [tex]2,700cm^{2}[/tex]

Ste,p-by-step explanation:

can you please help me find the area. I put 141 but it says that i am wrong. Can anybody help and say what i did wrong.

Answers

Answer:

3120 think

Step-by-step explanation:

i just did 3x8x10x13

On January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years. The effective interest rate for a note of this type is 15 percent. How much revenue does Hideki recognize on January 1, 2022?

Answers

Hideki recognizes a $17,490.06 revenue.

Revenue

Given that on January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent, to determine how much revenue does Hideki recognize on January 1, 2022 the following calculation must be made:

10000 x 1.15^4 = X10000 x 1.749 = x17490.06 = X

Therefore, Hideki recognizes a $17,490.06 revenue.

Learn more about revenue in https://brainly.com/question/14695611

Answer:

Hideki recognizes a $17,490.06 revenue.

Step-by-step explanation:

A family-size container of trail mix contains 40 ounces. This is 250% of the amount in the regular-size container.
How many ounces are in the regular-size container of trail mix?
Enter your answer in the box

Answers

Answer:

16 should be the correct answer

Find the slope of the line 11x - 4y = 21.

Answers

Answer: 11/4

Step-by-step explanation: no need :”)

Is it possible that all solutions of a homogeneous system of ten linear equations in twelve variables are multiples of one fixed nonzero solution

Answers

The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.

If it is known that a and b are positive integers and that a-b=2 evaluate the following.
9 1/2^b/3^a

Answers

The value of the expression such that a and b are integers is 1/9

Indices and exponents

An exponential function is a mathematical function in the form y = ab^x

Given the indices expression

[tex]\frac{(9\frac{1}{2} )^b}{3^a}[/tex]

This can be simplified as:

[tex]=\frac{(3^{2*\frac{1}{2}} )^b}{3^a}\\=\frac{3^b}{3^a}[/tex]

According to the law of indices, the expression will becomes;

[tex]\frac{3^b}{3^a} =3^{b-a}[/tex]

Recall that a - b = 2, such that b - a = -2. Substitute into the result to have:

[tex]\frac{3^b}{3^a} =3^{b-a}\\3^{b-a}=3^{-2}\\3^{b-a}=1/9[/tex]

Hence the value of the expression such that a and b are integers is 1/9

Learn more on indices here: https://brainly.com/question/10339517

Danielle needs to walk three miles, if she wants to reach her destination in 45 minutes (3/4 hour), how fast does she need to walk?

Answers

1 mile per every 15 minutes

or 4 mph

ANSWER THE FOLLOWING:​

Answers

Answer:

1) 69/81 (indirect probability)

2) not asked a question (indirect probability)

3) 1/4 (indirect)

4) 75% (indirect)

Step-by-step explanation:

1) 45+24/12

2) Doesn't ask a question

3) 2 are white females so 2/8=1/4

4) 45%+30%

I hope this okay and correct

A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is odd, what is the probability that the second digit is even? A. 1/2
B. 4/9
C. 1/8
D. 1/9

Answers

Answer:

A.  1/2.

Step-by-step explanation:

After the odd digit is taken out there are 8 digits left,

and of these 4 are even so

the answer is 4/8 = 1/2.

The price of an item has risen to $228 today. Yesterday it was $95. Find the percentage increase.

Answers

Answer:

140% increase

Step-by-step explanation:

Percent increase = [(final - initial) ÷ initial] · 100

[(228 - 95) ÷ 95] · 100

[133 ÷ 95] · 100

1.4 · 100

140

BRAINLIEST please if this helped!

IM STUCK CAN SOMEBODY SOLVE EQUATION

Answers

Answer:

1.) 1169

2.) 7

3.) 167 students/year

4.) 1879

5.) 1879+167t

6.) 4050

Step-by-step explanation:

1.) Find the difference between the number of students in 2002 and 2009:

[tex]3382-2213=1169[/tex]

2.) Find the difference in the years:

[tex]2009-2002=7[/tex]

3.) To find the average growth, find the change between 2002 and 2009 and divide by 7.

[tex](3382-2213)/7=y\\1169/7=y\\167=y[/tex]

4.) To find the population of the students in the year 2000, we need to subtract the average growth time and the difference of years from 2213.

[tex]2213-167(2002-2000) = y\\2213-334=1879[/tex]

5.) Taking the equation above, and changing it to match the requirements, we get:

[tex]P = 1879+167t[/tex]

6.) Now find the difference between 2013 and 2000, and substitute for t to get:

[tex]P = 1879+167(2013-2000)\\P = 1879+167*13\\P = 4050[/tex]

Brainliest?! :]

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer:

Slope of parallel line:[tex]-1\frac{3}{5}[/tex]

Slope of perpendicular line: [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Because parallel lines have equal gradients, but perpendicular lines have gradients which equal to -1 when multiplied.

Hope it helps:)

Answer:

Slope of parallel line:[tex]-1\frac{3}{5}[/tex]

Slope of perpendicular line: [tex]\frac{5}{8}[/tex]

A ABC = ADEF. What is the measure of AB?
D
24 cm
16 cm
E
20 cm
F
OA) 16 cm
OB) 20 cm
OC) 24 cm
D) 36 cm

Answers

I don’t know but Good luck

BRAINLLY!!! PLEASE HELP I'll GIVE BRAINLY!!!!

Answers

Answer: 495

Step-by-step explanation:

Since the foil covers the object and does not fill it, this problem is a matter of surface area rather than volume. Surface area is finding the area of all the faces, and adding them up.

Since we know the two triangular ends are not covered, this actually makes the problem easier.

Going with our definition of surface area above, we do:

(16.5 * 13) + (16.5 * 12) + (16.5 * 5) = 495

Our answer is 495

Answer:

C: 495ft²

Step-by-step explanation:

You need to calculate and add the surface area of the three rectangular faces of this prism. The two triangular ends are not covered in the foil as stated in the question. You find this like any other rectangle by multiplying the length by the width. (a = lw)

Let's start with the bottom rectangle, it has dimensions of 5x 16.5ft

5 * 16.5 = 82.5

Now the rectangle on the right side.

13 * 16.5 = 214.5

Now the left or back side rectangle.

12 * 16.5 = 198

Now add these values together

82.5 + 214.5 + 198 = 495ft²

Type The Correct Answer,

Answers

Answer:

0.72 meters

Step-by-step explanation:

by dividing 6.48 by 9, we get 0.72 meters

Answer:

here

Step-by-step explanation:

Find two positive numbers whose product is 192 and their sum is a minimum.

Answers

Answer:

8√3

Step-by-step explanation:

Let a, b = the positive numbers, and the sum = s,

(1)---- ab = 192

(2)--- a + b = s

Since we want to find the minimum sum, we'll have to substitute one of the variables (either a or b) from (1) to (2), I'll choose b,

From (1), b = 192/a

Substitute b = 192/a into (2),

s = a + 192/a

Now, we are able to use a concept of calculus (maximum & minimum) to solve it, just remember 2 steps in finding the values of x in maxima minima question:

1) find dy/dx

2) Find x from dy/dx = 0

ds/da = 1 - 192/

When ds/da = 0,

1 - 192/ = 0

= 192

a = ±192

a = 83 , -83

Since a is positive, a = 83

Substitute a into (1),

b = 192/(83)

b = 83

Therefore, the two positive numbers are 8√3... and 8√3

Find the value of x.

Answers

Sum of two interior angles=Exterior angle

44°+9x+3=14x+79x+47=14x+747=5x+75x=47-75x=40x=5

Donna received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.59 per pound. After buying the coffee, she had $59.64 left on her card. How many pounds of coffee did she buy?​

Answers

Answer: 4 pounds

Step-by-step explanation:

      First, we will see how much the coffee cost by subtracting what was left by the total gift card.

             $90 - $59.64 = $30.36

      Now, we will divide how much the coffee cost by how much one pound costs. This will give us how many pounds she bought, and the answer to your problem

             $30.36 / $7.59 = 4

                 She bought four pounds of coffee.

distribute to create an equivalent expression with the fewest symbols possible 1/5(15+10k)=

Answers

Answer:

[tex]3+2k[/tex]

Step-by-step explanation:

[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]

Answer:

3 + 2k

Step-by-step explanation:

Given that:

⅕ (15+10k)

Using the distributive property which is:

a × (b + c) = a × b + a × c

Which also means: Remove Parentheses

Thus we have:

⅕ (15+10k)

⇒ ⅕ × 15+⅕ ×10k

⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅

⇒ 3 + 2k

Hence, the answer to equivalent expression is 3 + 2k.

Kavinsky

Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the
limit you found in part A.

Answers

the equation of the line f(x) slope 3

The function is f(x) = x³ − 4x² + 2.

How to find the slope?

The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Find the difference between the y coordinates, Δy is change in y.Find the difference between the x coordinates, Δx is change in x.Divide Δy by Δx to find slope.

As,

Slope = rise/ run

Given:.

f(x) = x³ − 4x² + 2

As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.

Then the slope of the function is given by the differentiation.

slope= d/dx [f(x)]

slope= d/dx  ( x³ − 4x² + 2)

slope=  3x² - 8x

slope= 3* 3* 3 -8*3

slope= 27-24

slope= 3

Learn more about the slope here:

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A circular flower garden has a radius of 5 feet. Emma wants to put mulch in the flower garden. It costs $0.35 per square foot of mulch. How much will Emma spend to put mulch in the flower garden? Round to the nearest cent.

Answers

The answer is 200 because round 35 to 40 and 40 x 5 is 200

What is the length of a rectangle formed from the lateral surface of a cylinder?

Answers

Answer:

B. 2[tex]\pi[/tex]r  

Step-by-step explanation:

HELPPP MEE PLEASEEEEEEEEEE

Answers

Answer:

How many computers does my family own?

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data - Tasks

Pls pls help with this!
What equation represents the linear relationship in this graph?



A :y = 10x
B: y = 6x
C:y = 1/3x
D: y = 3x

Answers

Answer:

  D:  y = 3x

Step-by-step explanation:

The relationship shown is a proportion. The only "unknown" is the constant of proportionality, the slope of the line. That is most easily found by looking for the value of y that corresponds to the value x=1.

__

This graph shows that 1 song costs $3, so the equation is ...

  y = 3x

2x + y = 7 - 9x + 6y = 0​

Answers

x=2

Step-by-step explanation:

y=7-2x -------(1)

6y=9x

y=9x/6 = 3x/2------(2)

Now,

Equation equation 1 and 2

7-2x= 3x /2

2(7-2x)=3x

14-4x=3x

14=4x+3x

14=7x

14/7=x

x=2

simplify 3(r + 4) - 5r

Answers

Answer: 12-2r

Step-by-step explanation:

3r+12-5r

= -2r+12 or 12-2r

Answer:

-2r + 12

Step-by-step explanation:

simplify 3(r + 4) - 5r

3(r + 4) - 5r <== distribute first

3(r) + 3(4) - 5r

3r + 12 - 5r <== combine like terms

-2r + 12 <== final answer

Hope this helps!

Multiply 12•3/5. Simplify the answer and express it as a mixed number

Answers

Answer:

7 1/5

Step-by-step explanation:

12x3/5=36/5.

The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have to Multiply 12•3/5

i.e. 12 * 3 /5

= (12*3 )/5

=36/5

now, as we have to express it as a mixed number,

we get,

36/5 = 7 1/5

Hence, The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

To learn more on multiplication click:

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