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

the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.

use 3.14 for pi.​

Answers

Step-by-step explanation:

Given

Circumference of circle = 48.042 yards

diameter (d) = ?

we know

Circumference = πd

or, 48.042 = 3.14 * d

or, d = 48.042 / 3.14

Therefore d = 15.3 yards

The circle's diameter is 15.3 yards.

Hope it will help :)❤

48.042 divide by 3.14 = 15.3

diameter is 15.3 yards.

The dot plots show rainfall totals for several spring storms in highland areas and lowland areas. What is the median rainfall for the highland storms? What is the median rainfall for the lowland storms?

Answers

Answer:

Median highland = 16 mm

Median lowland = 16 mm

Step-by-step explanation:

For the highland area :

The sample size, n = 44

Obtain the median value using :

1/2 * (n + 1)th term

1/2 * (44 +1) th term

1/2 * 45 = 22.5th term.

(22nd + 23rd) term / 2

(16 + 16) / 2 = 16 mm

For the lowland area :

1/2 * (n + 1)th term

1/2 * (44 +1) th term

1/2 * 45 = 22.5th term.

(22nd + 23rd) term / 2

(12 + 12) / 2 = 12 mm

Answer:

16mm, 12mm

Step-by-step explanation:

on edge got it right

Express in form of (2x)^4 continued product​

Answers

(2x)^4 = 16x^4 is the continued product

HELP QUICK PLS :’( What is the equation of the line that goes through (2, 2) and is perpendicular
to y = 5x + 3?

Answers

Answer:

b

Step-by-step explanation:

B............


explanation:

You need to know how far you are away from the lighthouse.
You use a range finder to find the distance from the sailboat to the lighthouse light is 245 yards.
For angle B, chose an angle measure between 25° and 45°: __________
Based on the above information, find the distance from the sailboat to the island where the lighthouse is located.

Answers

Answer:

The distance from the sailboat to the island where the lighthouse is located is approximately 212.2 yards

Step-by-step explanation:

The distance between the sailboat and the lighthouse is found using trigonometric ratios as follows;

The given parameters are;

The distance from the sailboat to the lighthouse's light = 245 yards

The angle of elevation of angle B = An angle chosen between 25° and 45°

For simplicity, we chose, B = 30°

A right triangle formed with the height of the light house and the horizontal distance of the sailboat from the lighthouse as legs and angle B is the angle adjacent to the horizontal distance of sailboat from the light house

The hypotenuse length = The distance from the sailboat to the lighthouse's light = 245 yards

By trigonometric ratio, in the we have;

[tex]cos\angle B = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]

The adjacent leg length = The horizontal distance of sailboat from the light house

[tex]\therefore cos (30^{\circ}) = \dfrac{The \ horizontal \ distance \ between \ the \ sailboat \ and \ the \ lighthouse }{245 \ yards}[/tex]

The horizontal distance between the sailboat and the light house = 245 × cos(30°) ≈ 212.176223927

Therefore;

The horizontal distance between the sailboat and the lighthouse ≈ 212.2 yards

Therefore, the distance from the sailboat to the island where the lighthouse is located ≈ 212.2 yards.

A cylindrical cup and a cone both have a radius of 5 cm and a height of 8 cm. What is the approximate difference between the volume of the cup and the volume of the cone? A 133 cm B. 267 cm C. 419 cm D. 628 cm​

Answers

Answer:

419

Step-by-step explanation:

What is the value of z? Plz help

Answers

Answer: 24

Step-by-step explanation: 58 = 2z - 10

58 - 10 = 48 = 2z

z = 24

On wednesday 72% of the customers who bought gas at a gas station mad additional purchases. There were 250 customers who bought gas. how many of these 250 customers made additional purchases?

Answers

Answer:
180

Explanation:
72% of 250 equals
0.72 x 250

Hope this helps!

Triangle ABC is similar to triangle WYZ.

Determine whether the following statement is true or false.

sin(B)>sin(Y)
true
false

Answers

True, because they are congruent.

The solution is, the following statement is, False.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

given that,

Triangle ABC is similar to triangle WYZ.

now, we get,

Corresponding angles in similar triangles are congruent.

The similarity statement tells you angle B corresponds to angle Y,

so those angles are congruent.

The sines of congruent angles are identical.

so, we have,

 sin(B) > sin(Y) . . . . FALSE

 sin(B) = sin(Y) . . . . true

Hence, The solution is, the following statement is, False.

To learn more on triangle click:

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#SPJ3

Theo has x beach toys. He shares them with 6 other friends. Each of them got 4 beach toys. Find x. Show all work

Answers

The answer is 28 toys

Answer:

24 beach toys

Step-by-step explanation:

We don't know how many beach toys Theo has, but we know that 6 of his friends each got 4 toys. The equation could be set up as x/6 = y, where x is equal to the total amount of toys Theo had, and y is equal to the amount of toys each friend received. We know that y = 4, so now you could say x/6 = 4, and now using opposite operations, 6 × 4 = 24, hence Theo had 24 toys.

Hope this helps!!

Help ASAP I’ll mark you as brainlister

Answers

Answer:

12[tex]\pi[/tex] by 18[tex]\pi[/tex] write it down

Step-by-step explanation:

add it

Answer:

Well I don’t know which one your using but I’m gonna list the two most common ones.

For the π sign The answer is

50.27km^2

For repalcing π with 3.14, the answer is

50.24km^2

Step-by-step explanation:

SO circumference forumla is Diameter*π

Well we have 8π as the circumference

So basically 8π=diameter*π

Since π is the same 8 is the diameter

Area = πr^2

8/2=4 which is the radius

4^2=16

16π now since the answer asks for final answer rounded to the first 2 decimal places.

Figure A to figure B?

Is that right?

Answers

Answer:

d

Step-by-step explanation: cause thats the only answer that will maked sense

A store buys a coat for $120. If they sell it for $180, why is the percent of change?

Answers

Answer: 50%

Step-by-step explanation: [tex]180 - 120 = 60[/tex], [tex]60/120=1/2[/tex] which is [tex]50%[/tex]%.

Hope this helps!

will someone answer this please?

Answers

Answer:

True

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

This might help you remember. A function is a relation where no input numbers are repeated. Even if output numbers are repeated it's still a function. I really hope its helpful!

Combine like terms. Which Pokemon has the correct answer?
-17x + 13x = ?

Answers

the answer is -17x+13x=-4x

Answer:

-4x

Step-by-step explanation:

You add -17x and 13x and you get -4x.

Steve built a square hamster pen that has a perimeter of 240 centimeters.

Answers

Answer:

What's the question?

Step-by-step explanation:

Answer: I also need answer for this question

Step-by-step explanation:

Any body got

Please help I'll mark brainliest

Answers

Answer:

okay...... where is the question

where is the question?

Mrs. James has $40.50 to spend at the store. She wants to buy a dress that costs thirty dollars and necklaces that cost $3.50. How many necklaces can she buy?​

Answers

Answer:

3 necklaces

Step-by-step explanation:

$40.50-$30.00=$10.50   Subtract her total money and cost of dress

$10.50-$3.50=$6.00  subtract each necklace price from remaining money

$6.00-$3.50=$3.50 keep subtracting price of necklace

$3.50-$3.50=$0  that was 3 necklaces

The combined area of the lots is 8,375 square feet. How many feet wide is Lot Y?

Answer Choices

53 feet
55 feet
120 feet
125 feet

Answers

The answer is 55 feet

10


The fair spinner shown in the diagram above is spun.
Work out the probability of getting a 2.
Give your answer as a fraction in its simplest form.

Answers

Answer:

2/1

Step-by-step explanation:

[tex]2 - \frac{21 }{?} [/tex]

Find the volume of the rectangular
prism
[?] units3
18
16
22

Answers

pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp its 22Step-by-step explanation:

6336 is the answer for this

How many fluid ounces are in ​12 ¼ ​cups?


A. 6 ⅛ fl oz


B. 24 ½ ​fl oz


C. 49 fl oz


D. 98 fl oz

Answers

Answer:

D

Step-by-step explanation:

I looked it up your welcome

Ted was asked by his Dad to order for new pots for plants. The pots cost $2 each but is on sale at 25% off. If Dad would want him to buy 8 pots, how much will they pay for the entire purchase?

Answers

I think it’s $12 Bc 2x8=16-25% is 12

54) The two-way table below shows the number of hours students studied and whether they studied
Independently or with a study group. What is the relative frequency of students that studied
Independently for more than 2 hours to the total number of students that studied independently?

Answers

Answer:

6

Step-by-step explanation: not 6

Can someone help me with this

Answers

ok

Maggie is buying party favors for her birthday party. She has $5.00 to spend. She can buy pencils for $0.50 each, rubber balls for $1.00 each, and yo-yos for $1.50 each. How many different combinations of these party favors can she buy with $5.00?

25pt

Answers

Maggie can buy 10 pencils, 5 rubber balls, and 3 yo-yos.

You just divide 5.00 but the price of each item to see how much you can buy without spending too much.

Un huerto escolar tiene una superficie de 4dam2 500m2 y se requiere dividir en seis parcelas rectangulares de igual area ¿ cuantos metros cuadrados tendra cada parcela ?

Answers

Answer:

Cada parcela tendrá una extensión de 150 metros cuadrados.

Step-by-step explanation:

De acuerdo con el enunciado el huerto escolar tiene una extensión de 4 decámetros y 500 metros cuadrados.

Tengamos presente que un decámetro es igual a 100 metros cuadrados, entonces el huerto escolar tiene un área total de 900 metros cuadrados. Si dividimos esa área en seis parcelas de igual extensión, tenemos que:

[tex]x = \frac{900\,m^{2}}{6}[/tex]

[tex]x = 150\,m^{2}[/tex]

Cada parcela tendrá una extensión de 150 metros cuadrados.

BRAINLIEST!!

which statement correctly compares the function y = 5x + 5

Answers

Solved Correct Answer B ( conjucted with association of y= 5x + 5 - Graphed (0,5)

70 pennies decreased by 20%

Answers

Answer:

56 pennies

Explanation:

You should find 20% of 70 to get 14 and subtract that from 70 to get your answer.

Answer:

56

Step-by-step explanation:

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Answers

I’ll answer right now let me get a paper real quick

Answer:

0-0

Step-by-step explanation:

oof- hard stuff

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