Shannon says that the lines y=-3x-4, y = -x + 6, y = -4x - 5, and y=-x-5 could represent the sides of a rectangle. Explain Shannon's error.

Answers

Answer 1

The adjacent sides of rectangle form 90° to each other or are

perpendicular, while the opposite sides are parallel.

The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be [tex]-\dfrac{1}{m}[/tex]

Reasons:

In a rectangle, the adjacent sides are perpendicular to each other, while

the opposite sides are parallel.

The slope of parallel lines are equal, and the slope, of a line perpendicular to another line with slope, m, is [tex]-\dfrac{1}{m}[/tex], therefore the slopes of the parallel sides should be equal, which gives;

The equations should consist of two pairs of equations of lines with equal slopes, such as the pair, y = -x + 6, and y = -x - 5The slope of the other two lines should therefore be [tex]-\dfrac{1}{-1} = 1[/tex], which gives the equations of the other two lines as y = x - 4, and y = x - 5, respectively.

Therefore;

The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be [tex]-\dfrac{1}{m}[/tex]

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Related Questions

A marathon runner covers a distance of 42.2 kilometers in 2 hours and 36
minutes. What was his average speed in kilometers per hour? *

Answers

16.23km/h. 42.2/2.6 = 16.2307692. Round to nearest hundredth. Please give me a brainliest if this helped!

Which of the following is TRUE?
1 point
A.√0 = ± 0
B.√36 = ± 6
C.√-25 = 5
D.√48 = 7

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

[tex] \sqrt{36} = \pm6[/tex]

Carla packs boxes at a rate of 10 boxes every 4 minutes. What is the number of boxes per minute that Carla packs?
show simple work for brainlist

Answers

Answer:

2.5 boxes per minute

Step-by-step explanation:

First divide 10 by 4 to get the unit rate 2.5/1.

Second add labels, and figure out conclusion.

2.5 boxes/ 1 minute

Carla packs 2.5 boxes per minute.

Can you help me please. ​

Answers

Answer:

can you take a better photo?

Step-by-step explanation:

Full view of the picture please

Greg drives at 50 mph for 2 hours.
How far did he drive?
O 20 mi
O 75 mi
0 125 mi
O 150 mi

Answers

Answer:

125 mi po Hindi kopo sure

factorise using the formula​

Answers

Answer:

please find answer attached

Step-by-step explanation:

2tanx - 3cotx + 1 = 0

Answers

Answer:

hope its helpful

have a great day

1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?

Distributive property and division property of equality

Subtraction property of equality and division property of equality

Distributive property and collecting like terms property

Addition property of equality and division property of equality

Answers

Answer:

B. Subtraction property of equality and division property of equality

Step-by-step explanation:

Given equation:

8.5d + 7.5 = 100 + 3

Step 1, subtract 7.5 from both sides:

8.5d = 103 - 7.5

Step 2, divide both sides by 8.5:

d = 95.5/8.5

Correct answer choice is B

3+x=2–3x how many solutions and the answer thank you

Answers

Answer:

[tex]1[/tex] solution

Step-by-step explanation:

Let's try to solve this and see where we get.

We can add 3x to both sides of the equation to get [tex]3+4x=2[/tex].

We can then subtract 3 from both sides of the equation to get [tex]4x=-1[/tex].

We lastly divide both sides of the equation by 4 to get [tex]x=-1/4[/tex].

Because all of our steps are reversible(for instance, when we divide by 4, we can multiply(the "reverse" of division) by 4, so dividing by 4 is reversible), there is only [tex]\boxed{1}[/tex] solution, [tex]x=-1/4[/tex].

What is 19% of 41?
(Simplify, no links)

Answers

Answer:

7.79

Step-by-step explanation:

19 percent of 41 is the same as 19 per hundred of 41. We can therefore make the following equation:

19/100 = X/41

To solve the equation above for X, you first switch the sides to get the X on the left side, then multiply each side by 41, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

19/100 = X/41

X/41 = 19/100

X*41/41 = 19*41/100

X = 779/100

X = 7.79

The work above shows the long way to explain how to calculate 19 percent of 41 in order to give you a foundation and better understanding of how to calculate the percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 19 percent of 41?", Y is 41 and P is 19:

(41 * 19)/100 = 7.79

And once again you see that the answer is 7.79.

PLEASE HELP, ITS URGENT!!


A sum of money is shared amongst three friends, Shai, Toni, and Mara in the ratio 6:5:9 respectively. If Toni received $160, how much money did Shai and Mara receive?

Answers

Answer:

Shai received $192 while Mara received $288.

Step-by-step explanation:

Let u be 1 unit.

5u=$160

u=$160÷5

=$32

6u=$32×6

=$192

9u=$32×9

=$288

s = bc -5, for b whats the answer?

Answers

s=bc-5

Flip the equation
bc-5=s

Add 5 to both sides
bc=s+5

Divide both sides by c
b=(s+5)/c

Which pair of numbers have a greatest common factor of 5?

Select each correct answer.

15 and 25
30 and 15
20 and 30
10 and 5

Answers

Answer:

15 and 25

10 and 5

Step-by-step explanation:

Write the equation of the line that passes through the points (-7,5) and (-7,-8).

Answers

Answer:

x = -7

Step-by-step explanation:

413,405,397… find the 41st term

Answers

Answer:

it is the frst tow numbrs 41

Step-by-step explanation:

6900 dollars is placed in account with an annual interest rate of 8.25%. How much will be in the account after 26 years, to the nearest cent.

Answers

Answer:

$54196.92

Step-by-step explanation:

6900x1.0825^26

1.0825 is the multiplier

The correct answer is $54196.92.

Step by step =

6900x1.0825^26 = 54196.92.

How do you calculate the annual interest rate?

The formula and calculations are as follows:

Effective annual interest rate = (1 + (nominal rate / number of compounding periods)) ^ (number of compounding periods) - 1.For investment A, this would be: 10.47% = (1 + (10% / 12)) ^ 12 - 1.And for investment B, it would be: 10.36% = (1 + (10.1% / 2)) ^ 2 - 1.

Is the interest rate annual or monthly?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal of the amount loaned. The interest rate on a loan is typically noted on an annual basis known as the annual percentage rate (APR).

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The formula for the volume, V, of a sphere with radius r is V=(43)πr3. If the radius of a baseball is 113 inches, what is the volume to the nearest cubic inch?
A. 6
B. 8
C. 10
D. 14

15

Answers

The volume of the baseball, to the nearest cubic inch, is A. 6 inches³

The volume of a sphere is calculated by the formula:

= 4/3 x π x radius ³

A baseball is a sphere and in this case its radius is 1.13 inches.

The volume of the baseball is:

= 4/3 x 22/7 x 1.13³

= 4/3 x 22/7 x 1.442897

= 6.0464 inches³

To the nearest inch it is:

= 6 inches ³

In conclusion, the volume of the baseball is 6 inches.

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2) How would you simplify the following problem? (2x/3y^2)^3

Answers

Answer:

(2x^(3)y^(2))^(3) the little ^ means "sub"

Step-by-step explanation:

Use the power rule to distribute the exponent.

Raise 2 to the power of 3

Multiply the exponents in (x^3)^3

Multiply the exponents in (y^2)^3

Select the choice that translates the following verbal phrase correctly to algebra:

the product of k and m

km
k + m
k − m
k ÷ m

Answers

Answer:

km that is k×m means k is multiplied by m

TRI=ANG GN= HELP ME with this

Answers

Answer:

Sup bro your answer is 17

In a collection of nickels, dimes, andquarters the value of the collection is$12.85. If the number of nickels is 6 lessthan twice the number of dimes and thenumber of quarters is 5 more than twicethe number of dimes, how many quartersare there?

Answers

30 quarters because you times 6 by 5 and that equals 30 than you divine that by 4 and that 7.5

Enter the number in standard notation.
6x105 =
Hint: Move the decimal right 5 places.

Answers

Answer:

56

741

147

Step-by-step explanation:

The chosen topic is not meant For use with this type of problem. Try the examples below

56

741

147

Evaluate the expression when a=-7 and b=5.

-8b+a

Answers

Answer:

-47

Step-by-step explanation:

-8(5)+-7

= -40 -7 (+ gets elimanated by the -)

= -47

-8b+a turns into -8+5 -7, -8 +5=-3. After that you do -3 -7. That would equal -10

A person bought 32 seeds for $16. How many can another person buy if they have $4?

Answers

Answer:

8 seeds

Step-by-step explanation:

16 = 32

4 = ?

16 ÷4 = 4

32 ÷ 4 = 8

Write and solve an inequality for x.

Answers

Answer:

Below in bold.

Step-by-step explanation:

2x + 20 > 4x         ( as triangle WXY is a right triangle and the longest side's length ( the hypotenuse) is 2x + 20.

2x + 20  > 4x

20 > 2x

x < 10.

Point A is (2, -3) Use each transformation rule to find the coordinates of A’. Final answer in ( )

(x,y) ---->(x +3, y-1) A’=_________________________

(x,y) ----> (x, y-4) A’ = ________________________

Answers

By transformation rules, the points A₁(x, y) = (5, - 4) and A₂(x, y) = (2, - 7) are images of point A(x, y) = (2, - 3)

How to obtain the image of a point by a vector

In this problem we must determine two images associated to a given point and that are result of an transformation rule known as a translation. This transformation rule is described below:

A'(x, y) = A(x, y) + T(x, y)

Where:

A(x, y) - Original point.A'(x, y) - Image of the point.T(x, y) - Translation vector.

First, write the coordinates of the original point:

A(x, y) = (2, - 3)

Second, find the images of the original point by transformation rule:

A₁(x, y) = (2, - 3) + (3, - 1)

A₁(x, y) = (5, - 4)

A₂(x, y) = (2, - 3) + (0, - 4)

A₂(x, y) = (2, - 7)

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The table gives selected values of the function y=ax^3 + bx^2 +cx + d. What is a+d?
x -2 -1 0 1 2 3
y 36 0 -6 0 0 -24

Answers

Answer:

What is the volume of a sphere with a radius of 24 units? A. 92167 units O B, 230477 unite 3 O c. 18A324 units D. 13,8247 units

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

How do I find X and Y intercept in this please help

Answers

Answer:

Finding x-intercepts and y-intercepts

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

Step-by-step explanation:

Help Will give branliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4=-x+2 - model 1.

3x-1=7 - model 2.

-5+2x=3 - model 6.

5+2x=-3 - model 3.

-4=2x+1 - model 5.

-3x+1=7 - model 4.

Find the equation of the line which passes through the point A(2,1) and is parallel to the line 2x + 3y = 5

Answers

Answer: Find the slope of the original line and use the point-slope formula Y - Y^1 = M (X - X^1) to find the line parallel to 2 x + 3y =5

Step-by-step explanation:

Y= -2/3 x + 7/5

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