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.
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:
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Identify the initial condition and the rate of change
y=−5x+32
for the given graph :
y = -5x + 32rate of change = -5
Initial condition = 32
7275 in scientific notation
list 10 output device and 10 input device
Answer:
10 Examples of Input devices:
1. Keyboard
2. Mouse
3. Light Pen
4. Optical/magnetic Scanner
5. Touch Screen
6. Microphone for voice as input
7. Track Ball
8. Joystick
9. Camera
10. Web cam (PC video camera)
10 Examples of Output Devices:
Monitor
Printer
Audio Speakers
Headphones
Projector
GPS
Sound Card
Video Card
Braille Reader
Plotter
write vertically and solve step bye step 1.what is 0.24x3.12
Answer:
0.7488
Step-by-step explanation:
0.24
× 3.12
_______
0.48
0.240
+ 0.6200
________
0.748 8
Could someone please help answer this, will give brainliest, please no spam, thank you (homework help)!!!
Answer:
(51, 26) x-y=25 and so on
(47,33) 2x-3y=-5 and so on
(-17, -36) x-y=19 and so on
(-31, -56) 2x-y=-6 and so on
Step-by-step explanation:
In a survey of 2,600 people who owned a certain type of car, 1,430 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55%
Step-by-step explanation:
1430 divided by 2600 is 0.55
0.55 is 55%
5(6+9) what is the sum of 30 and another whole number
Answer:
75
Step-by-step explanation:
5(6+9)
Times the five by the numbers in the bracket
30 + 45
= 75
Answer:
75
Step-by-step explanation:
5 x 6 = 30
5 x 9 = 45
30 + 45 = 75
A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?
Step-by-step explanation:
Let +a+ = liters of 40% solution needed
Let +b+ = liters of 25% solution needed
+.4a+ = liters of HN03 in 40% solution
+.25b+ = liters of HN03 in 25% solution
------------------------------------
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(2) +a+%2B+b+=+57+
-----------------
(1) +.4a+%2B+.25b+=+.26%2A57+
(1) +.4a+%2B+.25b+=+14.82+
(1) +40a+%2B+25b+=+1482+
Multiply both sides of (2) by +25+
and subtract (2) from (1)
(1) +40a+%2B+25b+=+1482+
(2) +-25a+-+25b+=+-1425+
+15a+=+57+
+a+=+3.8+
and, since
(2) +a+%2B+b+=+57+
(2) +3.8+%2B+b+=+57+
(2) +b+=+53.2+
3.8 liters of 40% solution are needed
53.2 liters of 25% solution are needed
check:
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+
(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+
(1) +14.82+=+.26%2A57+
(1) +14.82+=+14.82+
think you should got the answer
I need to finish this question very quickly and I’m confused, any help is greatly appreciated
Answer:
Step-by-step explanation:
a. sqrt(2x) = -x
b. (sqrt(2x))^2 = (-x)^2
2x = x^2
c. divide both sides by x. x = 2, 0
d. x = 2 does not satisfy the original equation, but x = 0 does.
How to solve -10=║j-7║
Answer:
-10=||-3-7||
The answer is -3.
The midpoint of an is m (-6,1). If the coordinates of a are (-5,7), what are the coordinates of b
Answer:
B= (-7, -5)
Step-by-step explanation:
The midpoint point formula is (X1 plus X2) divided by 2 to get the x value of the midpoint and do the same for the Y value, ( Y1 plus Y2) divided by 2. So, because you already have the midpoint you have to work backwards. So for the x value of B the formula would be (-5 + X) divided by 2 equals -6 and then you just solve for X. Same thing for the Y value (7 + Y) divided by 2 equals 1. Then you should get both values for B (-7, -5)
Student Council plans on selling fresh hamburgers at the homecoming game. They
bought 40 lbs of ground chuck to use to make burgers and each burger uses 0.25 lbs
of chuck to make. What is the most amount of burgers they can sell at the game
Answer:
Student Council can make at the most 160 fresh burgers.
Step-by-step explanation:
Take 0.25 and divide it by 40.
0.25 / 40 = 160
10am/3 divided by -5a/6
5. The volume of a cube is 125 cubic centimeters. How many centimeters long iseach edge of the cube?5 centimeters11 centimeters15 centimeters42 centimeters
Answer: 5 cm
Step-by-step explanation:
A cube means all sides have an equal length. therefore you need to find what number times itself 3 times will equal 125
to do this you can also do the cube root(∛) of 125 which will give you 5 cm
to verify your answer, simply do 5 x 5 x 5 which is 125
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!
Answer:
x= 10,-2 (so basically x=10)
Step-by-step explanation:
Input each answers
Answer:
x=10
Step-by-step explanation:
10-3=7
10-5=5
7*5=35
If B is the midpoint of AC and AC = 40, what is the measure of BC?
BC =
Answer:
BC = 20
Step-by-step explanation:
Since B is the midpoint of AC , then
AB = BC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 40 = 20
A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?
The graph of the function is positive on (–6, –2).
The graph of the function is negative on (negative infinity, 0).
The graph of the function is positive on (–2, 4).
The graph of the function is negative on (4, infinity).
Answer:
A. The graph of the function is positive on (–6, –2)Step-by-step explanation:
The given function is an increasing function that intercepts the x- axis at -6, -2 and 4 and touches at 0.
It has minimum at negative infinity, maximum at positive infinity, local minimums between -2 and 0 and between 0 and 4, local maximum between -6 and -2.
Approximate shape is given in the attached.
Correct choice is the first one, the rest choices are all incorrect.
y=4x-36
find the zero of each function by graphing
Answer: X = 9
Step-by-step explanation:
First insert the function into a graphing calculator.
We are trying to find the x intercepts, we substitute y=0.
With a graphing calculator look at where the line intercepts the x axis, (9,0) , and we find that x=9.
Please help
Consider the matrices.
_ _
| - 17 |
PQ = | - 3 |
| - 37 |
|_ 49 _|
HELP
Calculate f(12) if f(n) = 20 + 15(n-1) *
Ed collects autographs. The graph shows the total number of autographs
that Ed has collected over time, in weeks. Find f(12), and explain what
it represents.
Number of autographs
1 n)
90
80
(5,80)
70
(465)
60
50 13,50)
40
30
(2,35)
20 . (1, 20)
10
n
0
1 2 3 4 5 6
Time (weeks)
f(12)= 200
f(12)=185
f(12)= 385
(12) = 420
Answer:
f(12) = 185
Step-by-step explanation:
Plug 12 into every n variable of the given equation:
20 + 15(n - 1)
20 + 15(12 - 1
20 + 15(11)
20 + 165 =
f(12) = 185
Hope this helps!
Answer:
Step-by-step explanation:
Calculate f(12) if f(n) = 20 + 15(n-1) *
Ed collects autographs. The graph shows the total number of autographs
that Ed has collected over time, in weeks. Find f(12), and explain what
it represents.
Number of autographs
1 n)
90
80
(5,80)
70
(465)
60
50 13,50)
40
30
(2,35)
20 . (1, 20)
10
n
0
1 2 3 4 5 6
Time (weeks)
f(12)= 200
f(12)=185
f(12)= 385
(12) = 420
Luke has a crate with a volume of 2160 cubic inches. The crate is 12 inches long and 18 inches high. Luke wants to put wooden boards into the crate. Each board is the same size as the board shown in the diagram.
18 blocks would fit in the Crate.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
Volume of Crate= 2160 cubic inch
Now, Volume of each wooden board
= l b h
= 12 x 5 x 2
= 120
so, number of blocks = 2160/ 120
= 18
Hence, 18 blocks would fit in the Crate.
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Luke can fit 18 wooden boards, each measuring 12 inches in length, 5 inches in width, and 2 inches in height, into the crate with dimensions 12 inches in length, 10 inches in width, and 18 inches in height.
Given that the crate has a volume of 2160 cubic inches and the dimensions are 12 inches in length, 18 inches in height, and an unspecified width.
Each wooden board has dimensions of 12 inches in length, 5 inches in width, and 2 inches in height, we can calculate how many wooden boards Luke can fit into the crate.
Let's denote the width of the crate as "w".
The volume of the crate is given by the formula: Volume = Length × Width × Height
So, 2160 = 12 × w × 18
Solving for "w":
w = 2160 / (12 × 18)
w = 10
Now that we know the width of the crate is 10 inches, we can calculate how many wooden boards can fit in the crate by comparing their dimensions.
Each wooden board has a volume of 12 × 5 × 2 = 120 cubic inches.
The total number of wooden boards that can fit in the crate:
Number of boards = Crate Volume / Board Volume
Number of boards = 2160 / 120
Number of boards = 18
Therefore, 8 blocks would fit in the Crate.
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what is 1/3x+10=3/4x+5
Answer:
x=12
Step-by-step explanation:
Just use some algebra to collect the like terms from each side
Answer:
x = 12
Step-by-step explanation:
1/3x+10=3/4x+5
make 1/3 & 3/4 have the same denominator
4/12 & 9/12
4/12x+10=9/12x+5
-4/12x+10=9/12x-5
5 = 5/12x
60 = 5x
12 = x
The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.
80 miles
1 hour
= ? hours
540 miles
What was Matt’s error?
The first rate should be written as 80 hours to 1 mile.
The second rate should be written as a rate of distance to time.
The first rate should compare miles to miles.
Matt did not make an error.
Thanks if You Answered!
Answer:
b
Step-by-step explanation:
im in the 12 grade
do you need to know more
Which of the following is TRUE?
1 point
A.√0 = ± 0
B.√36 = ± 6
C.√-25 = 5
D.√48 = 7
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is :
[tex] \sqrt{36} = \pm6[/tex]helpppppppppppppppppppppppp
Answer:
The inequality is x/5 < 20, and 100 is in the box.
Step-by-step explanation:
x = the amount she spends in June.
So, since she spends an equal amount five times, the amount she spends each time is x/5.
She wants this to be less than 20.
So, x/5 < 20.
Solving for x by multiplying both sides of the equation by yields
x < 5 * 20
x < 100, so that 100 goes into the box.
A cloud drifted above an airplane that was flying at 5,300 meters per minute. In 22.5minutes, the cloud moved 7,920meters to the east at a constant velocity. What was the cloud's velocity?
Answer is 352 metres
Step-by-step explanation:-The cloud is moving at a constant velocity. This means that we can find the velocity of the cloud by dividing the distance it moved by time:-
[tex]v = \frac{d}{t} [/tex]
Where "v" is velocity, "d" is distance and "t" is time.
The cloud moved 7920 metres in 22.5 minutes, so :-
[tex]v = \frac{7920 \: m}{22.5 \: min} [/tex]
[tex]v = 352 \: m/min[/tex]
Therefore, the cloud's velocity was 352 m/min.
✍️ By Benjemin ☺️
Find the unknown side of the triangle below (round to the nearest tenth).
A. 27.5m
B. 38.0m
C. 17.4m
D. 18.6m
Answer: A Because 29.9 but it was probally rounded off.
Step-by-step explanation:
Use the Pythagorean theorem:
x = sqrt(15^2 + 23^2)
x = 27.5m
Answer: A. 27.5m
plz help i’ll give brainliest
Answer:
is equivalent
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
A group of workers can plant 21 acres in 7 days.
What is their rate in acres per day?
Answer:
3
Step-by-step explanation:
21 acres divided by 7 days equals to 3 days
Each day they do 3 acres
3 acres * 7 days = 21 acres in a week
Answer:
I think 3 acers in a day. if you need an explanation pls let me know :)