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]

Learn more here:

https://brainly.com/question/12686176


Related Questions

Tom makes $264.00 in 5 days. How much does he make in 2 days?

Answers

Answer:

$105.6

Step-by-step explanation:

Tom makes 264 in 5 days.

In one day he makes 52.8.

In two days he makes 105.6.

Answer:

Tom makes $105.60 in 2 days

Step-by-step explanation:

x(5) = $264

Divide both sides by 5: x = 52.8

We get how much he makes in a day.

Multiply by 2: $52.8 * 2

Final answer: $105.6

I needhelp with this math assignment

Answers

What math assignment

Please help with this question

Answers

Answer:

24

Step-by-step explanation:

To solve, subtract:

111-87= 24

Hope this helps!

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .


Enter your answer in the box, without spaces.

Answers

Answer:

[tex]\sf y=9x-5[/tex]

Step-by-step explanation:

[tex]\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned} [/tex]

the answer above is correct

Find the difference.

10 - (-2)

Answers

Step-by-step explanation:

10-(-2) = 10+2 = 12.

hope this helps you.

Hello there!

10-(-2)=10+2=12

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia\\***************************************[/tex]

Comment:

Please mark Brainliest and hope it helps you! :)

6 cups is how many times as much as 24 cups? ~ In a fraction ~

Answers

Answer:

1/4

Step-by-step explanation:

6/24 = 1/4

Can someone please help me with one of these problems? If you can do both, it'd be even better. Thanks!

Answers

Answer:

4:3

Step-by-step explanation:

that means red:yellow

I HOPE IT HELPED YOU

MARK ME AS BRAINLIST

the scale of a model skyscraper is 5cm:150 meters. what distance is represented by 1cm?​

Answers

Answer:

30 meters

Step-by-step explanation:

150/5

what is the justification for step 3 in the solution process​

Answers

This is the answer, hope this helps.

Answer:

the multiplication property of equality

I need help What is 2x+3y+z

Answers

Answer:

2x+3y+z

Step-by-step explanation:

There are no like terms. This equation cannot be simplified.

Write the equation in slope intercept form. what are the slope and y-intercept? -3x - 10y = 7

Answers

Answer:

Slope: = 3/10x

y-intercept: = -7/10

Step-by-step explanation:

10y = -3x - 7

y = -3/10x - 7/10

Slope: = 3/10x

y-intercept: = -7/10

Type an equation for the
following pattern.

y=[? ]x+[ ]

Answers

y = -x + 6

To solve for the slope, choose two pairs of coordinates and substitute their values into the slope formula.

Let (x1, y1) = (1, 5)
(x2, y2) = (2, 4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 5)/(2 - 1)
m = -1/1
m = - 1
Therefore, the slope, m = -1.

For the y-intercept, choose one of the given points, and use it along with the slope to solve for the y-intercept. Using point (2, 4) and the slope, m = -1, substitute their values into the slope-intercept form:

y = mx + b
4 = -1(2) + b
4 = -2 + b

Add 2 to both sides to solve for b:
4 + 2 = -2 + 2 + b
6 = b

Therefore, the linear equation is :

y = -x + 6

Please mark my answers as the Brainliest, if you find this helpful :)

A toy store is having a sale. A video game. System has an original price of $99 it is on sale for 40% of the original price. Find the sale price of the game system. Round to the nearest cent

Answers

I think the answer is $59.4

Answer:

The answer is 59.40

Step-by-step explanation:

How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180 L of a 40% acid solution?

Answers

Answer:

ninety liters

Step-by-step explanation:

Ninety liters of the 50% acid solution have to be mixed with 90 liters of the 30% solution to yield 180 liters of 40% solution.

Graph the linear equation 5x-4y < 20

Answers

using a graphing calculator:

Answer: (See attached image file)

Step-by-step explanation:

Start by plotting given key features

Based on the problem, we know that the x-intercept is (0,4) We find this by plugging in 0 for y, and solving for x  (5x = 20)(x = 20/5 = 4)        (4, 0)  

We can also easily solve for the y-intercept, which is (0,-5)We find this by plugging in 0 for x, and solving for y(-4y = 20)(y = -5)      (0, -5)  

Since we know that the equation is linear, seeing as the highest exponent is 1, we know that these two points have to be connected by a single, straight line.

Finally, we shade in the side to the LEFT of the line. This is because the equation asks for LESS THAN. If however the question had been 5x-4y>20, we would shade in the region to the right.        

Jose needs 6.2 lb of organic blueberries to make smoothies. Organic blueberries are on sale for $2.85 per pound. Jose estimates that he will need $12 to buy the 6.2 lb of blueberries. What is Jose’s error?
1. Jose did not make an error. His estimate of $12 is correct.
2. Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
3. Jose incorrectly rounded 6.2 up to 7.
4. Jose incorrectly multiplied 2 and 7. The estimate should be $14.

Answers

Answer:

B

Step-by-step explanation:

Jane started jogging home from 5 miles away, at a rate of 2 mph. Which equation in slope-intercept form represents Jane's distance from home?

Answers

Answer:

10 miles

Step-by-step explanation:

I need help with this asap. thank u

Answers

Answer:

1/3

Step-by-step explanation:

1. When we divide any x-input by the y-input, we get 3. This is the same as multiplying the x-input by 1/3 to get the y-input. Let's see if it works!

[tex]3 * \frac{1}{3} = \frac{3}{3} = 1[/tex] [tex]6 * \frac{1}{3} = \frac{6}{3} = 2[/tex] [tex]12 * \frac{1}{3}= \frac{12}{3}=4[/tex] [tex]15*\frac{1}{3}=\frac{15}{3} =5[/tex]

2. Great! All our x-inputs and y-inputs match up, meaning the constant of proportionality, k, is 1/3.

Find the measure of the marked angles.
The measure of the angles is
___ degrees

Answers

Answer:

43°

(4x + 19)° = (6x + 7)° [vertically opposite angles are equal]

4x+19 = 6x+7

4x + 19 -7 = 6x

4x +12 = 6x

12 = 6x - 4x

12 = 2x

2x = 12

x = 12/2

x = 6

Now replace the x with 6

(4x+19)°

= (4×6+19)°

= (24+19)°

= 43°

(6x+7)°

= (6×6+7)°

= (36+7)°

= 43°

The measure of the angles is 43 degrees

how do i get the answer?

Answers

Answer:

37

Step-by-step explanation:

3 to the 3rd power is 3x3x3=27, (-5x-2)=10 because two negatives cancel each other out and make a positive, add 27 and 10 and that equals 37. Hope this helps :)

jay decided to go parachuting. Her elevation drops by -80 feet in 8 seconds. How far is she dropping each second​

Answers

Your answer is 10feet a second

Enter the ordered pair for the vertices for r (90°, 0)(QRST).

Answers

Answer:

below

Step-by-step explanation:

I didn't see the picture you try to post... but, the formula for rotation counterclockwise 90° is (x,y) original -> (-y,x) rotated

For rotation clockwise 90°: (x,y) -> (y,-x)

Jamie saw 12 ducks on the lake. When Jamie said that 1/2 of the ducks swam away, how many ducks was that?

a) 8
b) 4
c)6

Answers

6
12 divided my 2 is 6
or 6 + 6 is 12.
Hope this helps

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

a = 26.241

b = 47.448

Step-by-step explanation:

Al simplificar la expresión -3(a – b) + 5b – {2a + b + [a – 3b – (2b – a) + 5b] – a}, se obtiene:

Answers

Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)

La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.

De la información proporcionada:

= -3 (a - b) + 5b - {2a + b + [a - 3b - (2b -a) + 5b] - a}

El primer paso es abrir los soportes de adentro hacia afuera.

i.e.

= -3a + 3b + 5b - {2a + b + [ a - 3b - 2b + a + 5b] - a}= - 3a + 3b + 5b - {2a + b + a - 3b - 2b + a + 5b - a}= - 3a + 3b + 5b -2a - b - a + 3b + 2b - a -5b + a

Ahora, el siguiente paso es la reorganización;

= - 3a - 2a - a - a + a + 3b + 5b - b + 3b + 2b - 5b= - 6a - 7b

Por factorización;

= - (6a + 7b)

Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).

Obtenga más información sobre la expresión algebraica aquí:

https://brainly.com/question/11227332?referrer=searchResults

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

The area of the rectangle is (18r - 12) square inches. Write an expression that represents the length of the rectangle (in inches).​

Answers

Answer:

L = (18r - 12)/W

Step-by-step explanation:

A = L * W

18r - 12 = L * W

(18r - 12) = L * W

(18r - 12)/W = L

What type of dilation is formed when the scale factor K is greater than one

Answers

Answer:

Enlargement

Step-by-step explanation:

When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction. In a dilation, the original figure and its image are similar. The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.

Jocelyn earns $259.03 one week. The next week she earns $14.75 . How much has she earned during the 2 weeks?

Answers

Answer:

$263.78

Step-by-step explanation:

Answer:

273.78

Step-by-step explanation:

☠☠☠❤❤❤‍‍♂️‍♀️‍♀️‍♀️‍‍‍‍‍♀️‍‍‍♂️‍♀️‍♂️‍♀️‍♀️‍♀️‍♀️‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍☄❄⚡⛈✨⚽️♣️♠️♣️♟♠️♣️↘️⬇️⏏⏮⏮⚕⚜⚕⚜⚕⏬♂️⏸9️⃣®️9️⃣4️⃣️5️⃣️4️⃣1️⃣®️1️⃣1️⃣‼️❕⁉️0️⃣⁉️9️⃣4️⃣️6️⃣9️⃣️️▫️▫️⚪⚪️⚪▪️️▫️️

Answers

Answer:

ouuu noice king of spades

Answer:

‍♀️‍♀️

Step-by-step explanation:

bahahaha

Other Questions
The lines given by the equations y = 2x and y= 2x + 1 areA. ParallelB. Perpendicular C. Neither Perpendicular nor parallel 1. A change in an organism's surroundings that causes it to react is called which expression is not equavilent to 50x+20? This I my question any body help What would an effective conclusion need to include? (science) What is the slope of the line represented by the equation y = 4/5x - 3 Use the midpoint formula to find the midpoint of (4, -2) and (6, 10) Simone works at an assembly plant she made 490 items in five days how many items did she average per day? john calvin was asked to lead a community in which city Solve for the value of v.(56+6)(40+3) solve the inequality. 1/4w 4 what does it mean posture???? There are two types of modern acoustic guitars, what are their names and whatare the differences between the two? what is the difference between opiates and opioids the hippocampus plays a critical role in ________ memory, as illustrated by the case of h.m., who had damage to this area. where did mary grow up before entering ""the secret garden""? English colonists in Virginia established the House of Burgesses in order to:A. guarantee equal rights for all citizens in the colony.B. secure the English king's power in the colony.C. ensure continued religious acceptance in the colony.D. form a representative government for the colony.SUBMIT An image can translate horizontally and vertically at the same time.O TrueO False A block of aluminum weighs 50.0g it's density is 2.70 g/cm3 what is the volume of a block reread paragraph 5 of the duck and the smartphone which context clue in the paragraph can help you figure out the meaning of the word impulsive A(puzzled by this reply B(felt very proud of himself C(decided immediately D( brought him complete happiness