Answer:
The lines are the same, they are just in a different position.
Step-by-step explanation:
A reflection is a type of rigid transformation. Rigid transformations do not change the size nor the length of the pre-image.
In other words, the pre-image and the image in a rigid transformation are congruent.
Hope this helps.
Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.
What is a Reflection?This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.
With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.
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Find the slope of the curve below at the given points. Sketch the curve along with its tangents at these points. R = sin 2 theta: theta = plusminus pi/4, plusminus 3 pi/4 The slope of the curve at theta = pi/4 is:__________
Answer:
-1
Step-by-step explanation:
Given that:
r = sin 2θ , θ = ± π/4 , ± 3π/4
Recall that:
x = r cosθ
y = r sinθ
The differential of y with respect to x
[tex]\dfrac{dy}{dx} = \dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}}[/tex]
[tex]\dfrac{dy}{dx} =\dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}} = \dfrac{ r cos \theta + sin \theta* \dfrac{dr}{d \theta} } {\dfrac{dr}{d \theta} *cos \theta- sin \theta \ r}[/tex]
at θ = π/4 , r = sin π/2
r = 1
[tex]\dfrac{dy}{dx} = \dfrac{ r cos \theta + 2 cos (2 \theta)*sin \ \theta } {2 \ cos (2 \theta) *cos \theta- sin 2 \theta * sin \theta}[/tex]
where;
θ = π/4
[tex]\dfrac{dy}{dx} = \dfrac{ 1 \times cos (\dfrac{\pi}{4}) + 2 cos (\dfrac{\pi}{2})*sin (\dfrac{\pi}{4}) } {2 \ cos (\dfrac{\pi}{2})*cos (\dfrac{\pi}{4})- sin (\dfrac{\pi}{2}) * sin (\dfrac{\pi}{4})}[/tex]
[tex]\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}}+0 }{0-1 * \dfrac{1}{\sqrt{2}}}[/tex]
[tex]\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}} }{- \dfrac{1}{\sqrt{2}}}[/tex]
[tex]\mathbf{\dfrac{dy}{dx} =-1}[/tex]
slope of the curve (dy/dx) at theta(θ) = pi/4 is -1
Solve for y: 3x - 4y = 12
Answer:
y = 3/4x -3
Step-by-step explanation:
[tex]3x-4y=12\\[/tex]
Move 3x to the right and change its sign
[tex]-4y = -3x+12[/tex]
Divide both sides of the equation by -4
[tex]\frac{-4y}{-4} =\frac{-3x}{-4} + \frac{12}{-4} \\\\y = \frac{3}{4} x -3[/tex]
A cylindrical can has a volume of 16 cm 3. What dimensions yield the minimum surface area? 1. The radius of the can with the minimum surface area is ______ cm. (Simplify your answer.) 2. The height of the can with the minimum surface area is ______ cm. (Simplify your answer.)
Answer:
radius = 1.37 cm
height = 2.71 cm
Step-by-step explanation:
We are given volume = 16 m³.
Formula for volume of a cylinder is;
V = πr²h
Thus,
πr²h = 16
h = 16/πr²
Now formula for the surface area is;
S = 2πr² + 2πrh
Putting 16/πr² for h gives;
S = 2πr² + 2πr(16/πr²)
S = 2πr² + 2π(16/πr)
S = 2π(r² + 16/πr)
To minimize, we will find the derivative of S and equate to zero
S' = 2π(2r - 16/πr²) = 0
4πr - 32/r² = 0
4πr = 32/r²
r³ = 32/4π
r = ∛(32/4π)
r = 1.37 cm
From h = 16/πr²;
h = 16/(π × 1.37²)
h = 2.71 cm
Death Valley is the location of the lowest land elevation in the USA which is 282 feet below sea level.The location with the highest level is 20,320 feet above sea level.What is the difference in the elevations of these two locations
Answer:
20,038
Step-by-step explanation:
20,320 - 282
(HELP MEH) Why is √5 irrational?
A.) because it is less than one
B.) because it has no opposite
C.) because all square roots are irrational
D.) because it cannot be expressed as a ratio of integers
Answer:
D.) because it cannot be expressed as a ratio of integers
Step-by-step explanation:
The root of any integer that is not a perfect square is irrational. 5 is not a perfect square, so is irrational—it cannot be expressed as the ratio of integers.
__
Proof
Suppose √5 = p/q, where p and q are mutually prime. Then p² = 5q².
If p is even, then q² must be even. We know that √2 is irrational, so the only way for q² to be even is for q to be even—contradicting our requirement on p and q.
If p is odd, then both p² and q² will be odd. We can say p = 2n+1, and q = 2m+1, so we have ...
p² = 5q²
(2n+1)² = 5(2m+1)²
4n² +4n +1 = 20m² +20m +5
4n² +4n = 4(4m² +4m +1)
n(n+1) = (2m+1)²
The expression on the left will be even for any integer n; the expression on the right will be odd for any integer m. This equation cannot be satisfied for any integers m and n, so contradicting our assumption √5 = p/q.
We have shown using "proof by contradiction" that √5 cannot be the ratio of integers.
3x(x + 2) ......................
Answer:
3x^2+6x
Step-by-step explanation:
3x(x+2)
First distribute the 3x
You end up with
(3x^2+6x)
and that is the answer.
work out (7x10^5)\div (2x10^2) give your answer in standard form
answer: 200dvi
I hope this helped, not entirley sure if I did it correctly.
Hey there!
(7 * 10^5) ÷ (2 * 10^2)
10^5
= 10 * 10 * 10 * 10 * 10
= 100 * 100 * 10
= 10,000 * 10
= 100,000
10^2
= 10 * 10
= 100
= (7 * 100,000) ÷ (2 * 100)
7 * 100,000
= 700,000
2 * 100
= 200
700,000 ÷ 200
= 3,500
Therefore, your answer is: 3,500
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How much interest does a $10,000 investment earn at 5.6% over 18 years?
A car can travel 38 miles on each gallon of gasoline. At that rate, how many gallons of gasoline will it take to travel
190 miles?
2
5
20
50
Answer:
5 gallons of gasoline
Step-by-step explanation:
since we have the number of miles the car drives per gallon (38) we can set up an equation
the equation would be the number of miles per gallon (38) times the number of gallons it would take to drive 190 miles (x) equals 190 miles
38x = 190
you then divide 190 by 38
x = 5 gallons
Five gallons of gasoline must be taken to travel 190 miles.
What is the unitary method?The unitary method is a problem-solving methodology that involves first finding the value of a single unit and then finding the necessary value by multiplying the single unit value.
How many gallons of gasoline will it take to travel 190 miles?On one-gallon gasoline, the car can travel 38 miles.
Let x gallons of gasoline be taken to travel 190 miles.
So, 38x=190
⇒x=190/38=5
Hence, 5 gallons of gasoline is taken to travel 190 miles.
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Write 20% as a decimal.
Answer ?
Answer:
0.2
Step-by-step explanation:
Step 1:
20 divided by 100 = 0.2
Answer:
0.2
If you want to get a decimal from a percent you need to divide the percent by 100.
Hope This Helps :)
Remember all decimal are basicaly,
x% = (x)/(100)
so
20%=(20)/(100)=0.20
10 students of a class had a mean score of 70. The remaining 15
students of the class had mean score of 80. What is the mean score of
the entire class?
Oops someone else answered it before me
Robert has 4 shirts (blue, white, gray, and red) and 3 ties (striped, solid, polka dotted). Robert reaches into his closet and grabs 1 shirt and 1 tie, without looking. Find the probability that Robert chooses the white shirt and striped tie
Answer:
1/12
Step-by-step explanation:
Total shirts: 4
White shirts: 1
p(white shirt) = 1/4
Total ties: 3
Striped ties: 1
p(striped tie) = 1/3
The overall probability is the product of the individual probabilities.
p(white shirt & striped tie) = p(white shirt) * p(striped tie) = 1/4 * 1/3 = 1/12
Answer:
The answer is 1/2
Step-by-step explanation:
4 shirts that mean 1/4
and 3 ties that mean 1/3
If we choose one it will be 1/2
sry if you don't get it
Find the sum in lowest terms 1/55+6/11
Answer:
31/55
Step-by-step explanation:
The LCD is 55.
1/55 + 6/11 =
= 1/55 + 30/55
= 31/55
31 is prime, so the fraction cannot be reduced.
Answer: 31/55
35 POINTSThe line contains the point (-8,7) and is perpendicular to 3x+2y=-7 The equation of the line is:
Answer:
The answer is
[tex]y = \frac{2}{3} x + \frac{37}{3} [/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the perpendicular line we must first find the slope of the original line
We must first write the equation in the general form above in order to find the slope
3x + 2y = - 7
2y = - 3x - 7
Divide both sides by 2
y = - 3/2x - 7/2
Comparing with the general equation above
Slope = - 3/2
Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line
Slope of perpendicular line = 2/3
So the equation of the line using point (-8,7) and slope 2/3 is
[tex]y - 7 = \frac{2}{3} (x + 8) \\ y - 7 = \frac{2}{3} x + \frac{16}{3} \\ y = \frac{2}{3} x + \frac{16}{3} + 7[/tex]
We have the final answer as
[tex]y = \frac{2}{3} x + \frac{37}{3} [/tex]
Hope this helps you
which number sets does 3/4 belong to?
The answer is it BELONGS TO THE RATIONAL SET
The number 3/4 is belong in Rational number.
Here,
The number is 3/4.
We have to find the number sets of 3/4 belong to.
What is Rational number?
A number that can be represented as the quotient p/q of two integers such that q ≠ 0.
Now,
The number is 3/4.
Clearly, the number is in the form of fraction p/q such that q ≠ 0.
Hence, The number 3/4 is belong in Rational number.
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10 times as many as 5 tens is 5thousand
Answer:
This question does not make sense for very specific reasons
Step-by-step explanation:
1. 5,000 does not look like 5thousand
2. 10 times as many as 5 tens is not really a question at all
3. the question itself already contains the answer 5,000
morgan bought a pair of shoes at a sale of 25% . if the amount she paid was $1000 , find the market price ?
Answer:
$4,000
Step-by-step explanation:
to find the market price you:
1000x100=100000
100000/25=4000
Answer:
4,000
Step-by-step explanation:
The double box plot shows the test scores for Miss Robinson's second and fourth period
classes. Based on the double box plot, which sentence is true?
Answer: The second period class has the greater first quartile.
The second-period class has the greater first quartile. Then the correct option is A.
What is a double box?Like the other twin graph styles discussed in earlier sections, double package plots provide for a fast detailed evaluation of two sets of data.
The double box plot shows the test scores for Miss Robinson's second and fourth-period classes.
Based on the double box plot. Then the true sentence will be
The second-period class has the greater first quartile. Test Scores
Then the correct option is A.
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-5/10 + 7/10 . what is the answer
Answer:
2/10
Step-by-step explanation:
-5+7=2, since the denominator stays the same.
2/10, simplified is 1/5
Answer:
2/10 or 1/5
Step-by-step explanation:
Because -5/10 and 7/10 both have 10 as the denominator we don't have to do anything about that, so you just add and simplify.
If you need me to go through it in depth let me know, but I hope that helps!
Have a great day!
Please help!
Add [-6-2 2] + [-3 2 1].
Answer:
Step-by-step explanation:
[-6 + -3 -2 + 2 2 + 1} = [-9 0 3}
Which of the following is the solution of the equation 3x + 4=19 use substitution to identify the correct answer
Answer:
5
Step-by-step explanation:
Step 1:
3x + 4 = 19
Step 2:
3x = 19 - 4
Step 3:
3x = 15
Answer:
x = 5
Hope This Helps :)
If 630 sweets were distributed among Ben,
Lucy and Jane in ratio 2: 3: 4. How many
sweets does Jane get?
A 140
B. 210
C. 260
D. 270
E 280
Answer:
E
Step-by-step explanation:
630/2+3+4=630/9=70
Multiply each value in the ratio by 70.
Jane: 70*4=280
IQs as measured by the Wechsler Adult Intelligence Scale are approximately Normal with mean 100 and standard deviation 15. About 84% of people will have IQs below 115 because 115 is _____ standard deviation(s) above the mean.
Answer:
1 standard deviation
Step-by-step explanation:
Given that :
IQs as measured by the Wechsler Adult Intelligence Scale are approximately Normal with:
Mean = 100
Standard deviation = 15
About 84% of people will have IQs below 115 because:
84% = 0.84
From z - table, 0.84 corresponds to a z- score of about 0.995
0.995 = 1. 00
The z-score gives the number of standard deviations by which a raw score is above or below the average or mean value.
Raw score = 115
Mean = 100
Standard deviation (sd) = 15
Mean + number of sd's
100 + 1(sd)
100 + 1(15) = 100 + 15 = 115
which angles are supplementary to each other?
Answer:
Angles 2 and 3 are supplementary to each other
Step-by-step explanation:
A supplementary angle is 2 angles that when you add the sum is 180.
Find the domain and range. {(-2,0), (1,-2), (3,4)}
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{domain = { (- 2 \: , \: 1 \: , \: 3)}}}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{range = ( \: - 2 \: , \: 0 \: , \: 4)}}}}[/tex]
Step-by-step explanation:
Domain is the set of all x values.
Range is the set of all y - values.
{ ( - 2 , 0 ) , ( 1 , -2 ) , ( 3 , 4 )}
Domain = { -2 , 1 , 3 }
{ ( -2 , 0 ) , ( 1 , -2 ) , ( 3 , 4 )}
Range = { - 2 , 0 , 4 }
Hope I helped!
Best regards! :D
what are the even numbers -7,-4,2,14,21,34,42
Answer:
-4, 2, 14, 34, and 42
Step-by-step explanation:
These are all even because they are multiples of 2. Also, for it to be even, the ones place MUST be one of the following: 0, 2, 4, 6, 8
Answer:
-4,2,14,34,42
Step-by-step explanation:
Even numbers are divisible by 2
-4/2 =-2
2/2 =1
14/2 = 7
34/2 = 17
42/2 = 21
HAVE TO EVALUATE SHOW WORK !!!!!
2ny + x
Answer:
9
Step-by-step explanation:
2ny + x
Start with n and y
n= 3/4
y = 6
2*n*y = 2* 3/4 * 6 2 * 6 = 12
12 * 3/4 = 36 / 4 = 9
There are many ways to do this. I have chosen one that does not require cancellation.
How many hours are there in 360 mins
Answer: 6 hours
Step-by-step explanation:
You have to divide 360 by 60 minutes.
Answer:
There are 360 minutes in 6 hours.
Hope this helps :)
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!
Evaluate the expressions
Answer:
-32/3
Step-by-step explanation:
-10 2/3 , -10.6
Answer:
-32 I just looked it up on photomath
What can you conclude about the slope of the values in
the table? Check all that apply.
lope
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.
Answer:
The slope is undefined.
The graph will be a vertical line.
Step-by-step explanation:
just did it
The graph will be a vertical line. Option C is correct.
Given that,
The slope of the line is zero we have to determine what are the conditions.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The slope of the line is zero,
m = 0
tanФ = 0
y / x = 0
for the above condition, Δy must be zero or Δx must be infinite and the line will be a verticle.
Thus, the graph will be a vertical line. Option C is correct.
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