Answer:
-6.25 tI am not sure if this can help you but this is what I got
Find an equation of the tangent line to the hyperbola x2 a2 − y2 b2 = 1 at the point (x0, y0).
The equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
To find the tangent to the hyperbola [tex]\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }[/tex] at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).
So, [tex]\frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }[/tex]
So, at (x₀, y₀)
[tex]\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }[/tex]
So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form
So, [tex]\frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} } \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
So, the equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
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20 cm
Den
mm
Base, heighi.
and lengu are
Above
Answer:
500
Step-by-step explanation:
Volume of a triangular prism formula
The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: ( attatchment )
So, you need to know just three measures: height, base, and length, in order to calculate the volume.
jun has two less more than three times as many books as harriet. if jun has 13 book how many books does harriet have plsss helpp
the world population in 2016 was estimated to be 7.4 billion people and it is increasing by about 1.1% per year. assume that this percentage growth rate remains constant through 2030 explain why the population is an exponential function of time. what would you expect the world population to be in 2030
Answer:
1
Step-by-step explanation: i guessed
Use intercepts to graph the linear equation 5x+3y=30
30/5 is equal to 6
this is your x-intercept
30/3 is equal to 10
this is your y-intercept
I think you know what to do now :)
(0,10) and (6,0)
And this is not the only question I got to get five right so if you get the question right wait until I make another question please and thank you
9514 1404 393
Answer:
A rotation 90° CW followed by translation right 5 units.
Step-by-step explanation:
It is easier to choose the right composition of transformations if we know what your choices are.
Figure F has an orientation that is 90° CW from that of figure E, so a 90° CW or 270° CCW rotation could be one of the transformations.
Rotation about the origin will move the figure so that the acute angle is in a different quadrant. In order to return it to the same quadrant a translation is required. The amount of translation will depend on whether it comes before or after the rotation.
Possible sequence of motions are ...
A rotation 90° CW followed by translation right 5 unitsTranslation up 5 units followed by rotation 90° CWWhat is the value of y?
Y
Y
60
O A. 120°
B. 60°
C. 40°
O D. 30°
Answer:
B. 60°
Step-by-step explanation:
1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](y+y)+(60)=180[/tex] [tex]2y + 60 = 180[/tex]Step 2: Subtract 60 from both sides.
[tex]2y + 60 - 60 = 180 - 60[/tex] [tex]2y = 120[/tex]Step 3: Divide both sides by 2.
[tex]\frac{2y}{2}=\frac{120}{2}[/tex] [tex]y = 60[/tex]Step 4: Check if solution is correct.
[tex](60)+(60)+60 = 180[/tex] [tex]120 + 60 = 180[/tex] [tex]180 = 180[/tex]Therefore, the answer is B. 60°.
Watch help video
Members of a lacrosse team raised $1431.75 to go to a tournament. They rented a bus
for $1051.50 and budgeted $29.25 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Equation:
Answer: p =
Submit Answer
attempt 1 out of 2
Step-by-step explanation:
p = (1431.75 - 1051.50)/29.25
p = 13
Find the domain and range for the function shown in the
graph given below.
Answer:
d{0 less than or equal to x less than or equal to 20, xer}
r{0 less than or equal to y less than or equal to -6,yer}
Step-by-step explanation:
The Domain and Range of the graph given is -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
We have a graph as shown in the figure.
We have to determine its domain and range.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
According to question, we have -
From the graph it is clear that -
The values of y belong to the set - [1, -6]
and
The values of x belong to the set - [- 21, 20]
Therefore, according to the definition of domain and range -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
Hence, the Domain and Range of the graph given is -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
To solve more questions on finding the domain and range of functions, visit the link below -
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Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? (1 point) Reflection about the x-axis followed by a translation to the right by 2 units Reflection about the y-axis followed by a translation to the left by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answer:
i need this answer too
Answer:
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units.
Step-by-step explanation:
The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The sgment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.
In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units.
A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold
Step-by-step explanation:
8 vehicle.
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
\$ 4400-\$ 2400= \$ 2000$4400−$2400=$2000
∴ 2000 need to be earned only through incentive, which is2000needtobeearnedonlythroughincentive,whichis250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle= \frac{2000}{250}= 8\ vehicles2502000=8 vehicles
∴ 8 vehicles need to be sold by salesperson to get total earning as $4400
What graph represents a function with a growth factor of 5?
Answer:
The answer should be C!
Step-by-step explanation:
When you multiply the y value 0.04 and 5 it comes out as 0.02.
Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1. Graph triangle ABC and its reflection across the line x=-2?
2. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the x-axis?
3. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the y-axis?
4. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the line y=x?
If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)
If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)
If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)
If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1) If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)
2) If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)
3) If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)
4) If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)
Find out more on transformation at: https://brainly.com/question/1620969
Helppp A local office supply store charges 18 to set up their business card printing machine with the design and $0.15 in materials per business card to print
Answer: It’s 18+0.15x divided by x so it’s B
Step-by-step explanation:
The expressions that represent average cost A(x) are B) A(x) = (18 + 0.15x)/x
and F) A(x) = 18/x + 0.15.
What is the weighted average?When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.
To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.
Given, A local office supply store charges $18 to set up their business card printing machine with the design and $0.15 in materials per business card to print.
The expression that represents average cost A(x) = (set up cost + cost per business card×no of cards) divided by no. of cards.
A(x) = (18 + 0.15x)/x.
Also A(x) = 18/x + 0.15.
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what is the slope of the line containing the points (3,-7) and (-3,7)
Answer:
-7/3
Step-by-step explanation:
To find the slope, we use the slope formula
m= ( y2-y1)/(x2-x1)
= ( 7 - -7)/(-3 -3)
= ( 7+7)/( -6)
= 14/-6
= 7/-3
= -7/3
Step-by-step explanation:
m = y2-y1 / x2-x1
= 7+7 / -3-3
= 14/-6
= -7/3
Help finding the missing length
Answer:
4x2-6x+6
Step-by-step explanation:
(9x2-2x) +(3x-5)+(m) =13x2-5x+1
(13x2-5x+1)-(9x2+x-5)=m
Para monetizar contenidos en una red social, los videos nuevos que sean subidos deben superar las 1300 visitas diarias, y para monetizar los antiguos, han de tener mínimo 3000 visualizaciones y acumular 1000 visitas diarias.
¿Con qué expresiones algebraicas se pueden visualizar las visitas que han de tener cada día ambos tipos de video?
Answer:
Upcoming technology made of large organic molecules and genetically engineered protein is calledRelated to the Business means, directly or indirectly, used in, arising from or relating in any manner to the BusinessWelcome to Gboard clipboard, any text you copy will be saved here.
9. The sum of three consecutive EVEN integers is 50 more than the third
integer. Find the integers.
Answer:
Step-by-step explanation:
The smallest integer is 2x - 2
The middle integer = 2x
The largest integer = 2x + 2
2x - 2 + 2x + 2x + 2 = 2x + 2 + 50 Combine
6x = 52 + 2x Subtract 2x from both sides
6x-2x = 52 Combine
4x = 52 Divide both sides by 4
4x/4 = 52/4
x = 13
The three integers are
2x - 2 = 24
2x = 26
2x + 2 = 28
Please quickly answer will mark brainliest (100 points) also say answer in text
Step-by-step explanation:
square root of 196 is 14
square root of 169 13
square root of 121 is 11
square root of 225 is 15
square root of 144 is 12
square root of 100 is 10
How can you compare data sets?
Answer:
Grapgical charts and data plots
Step-by-step explanation:
Step-by-step explanation:
Hope it helps you!!What is the length of side s of the square shown below? 45° 6 30
A. 34
B. 6
C. 3
D. 6-2
E. 2
F. VE
Answer:
The correct answer should be D.
Step-by-step explanation:
The probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typically run in a year is as follows. x 0 1 2 3 p(x) 0.76 0.15 0.05 (a) Fill in the missing probability. x 0 1 2 3 p(x) 0.76 0.15 0.05 (b) What is the mean of this discrete random variable
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:
[tex]P(X = 0) = 0.76[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = x[/tex]
Item a:
The sum of all the probabilities has to be 1, that is:
[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]
Thus:
[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]
[tex]0.96 + x = 1[/tex]
[tex]x = 0.04[/tex]
The missing value is 0.04.
Item b:
The mean is given by the sum of each outcome multiplied by it's probability, thus:
[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]
The mean is of 0.37.
A similar problem is given at https://brainly.com/question/20709747
x ⋅ x = ? (1 point)
ttm
Answer:[tex]x 6[/tex]
Step-by-step explanation: Im not to good at math but hope that hlps
Answer:
x^x
Step-by-step explanation:
hope this helps :)
Here is a better picture!
Answer:
Part A: A) [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Step-by-step explanation:
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Part A:Use the Quotient Rule of Exponents:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]
The 28 and 21 can be reduced by dividing both of them by 7. For the exponential expressions with the same base, you could subtract their exponents. I'll do each base separately so it doesn't get confusing.
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Base y:[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).
Base w:[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).
Base z:[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex] We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).
Altogether, you'll have:
Option A: [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
PLEASE HELP!!!!!!!!!!!!!!!!!!!
What are the values of a, b and c for the following equation:
2x2 +9x = 18
Evaluate the expression
6a - 2b when a = 5, b=7
[tex] = > 6a - 2b[/tex]
[tex] = > 6(5) - 2(7)[/tex]
[tex] = > 30 - 14[/tex]
[tex] = > 16[/tex]
(5x+4)-3x
Solve.
No scam.
Answer:
=2x+4
Step-by-step explanation:
Let's simplify step-by-step.
5x+4−3x
=5x+4+−3x
Combine Like Terms:
=5x+4+−3x
=(5x+−3x)+(4)
=2x+4
Answer:
2x+4
Step-by-step explanation:
Hope fully it is correct
solve pls brainliest
trong dân số một bà 70 tuổi có khả băng SLE là 2% .Nếu ANA dương tính thì khả năng bị bệnh SLE là bao nhiêu
Answer:
từ khoảng 70 đến 90 phần trăm
If triangles ABC and XYZ are similar, what is the length of side b?