Answer: -2 and 4
Step-by-step explanation:
Let [tex]t=x/2[/tex].
[tex]f(t)=0 \longrightarrow t=-1, 2\\\\\therefore x=-2, 4[/tex]
Write the positive or negative number that best
represents the given information.
12 ft above sea level
Answer:
12
Step-by-step explanation:
Usually, above sea level is represented by a positive number and below sea level by a negative number.
12 ft above sea level = 12
a polygon has two interior angles of 120 degree each and the others are 150 degree each calculate the number of sides and the sum of interior angles in a polygon
Answer:
10 sidesangles total 1440°Step-by-step explanation:
The formula for the total of interior angles can be used together with the given angle values to write an equation for the number of sides.
SetupThe total of interior angles of an n-sided polygon is 180°×(n -2). In the given n-sided polygon, two angles are 120° and (n -2) angles are 150°. The total of angles is the same either way it is computed:
2×120 +(n -2)150 = (n -2)180
SolutionSubtracting (n-2)150, we have ...
240 = 30(n -2)
8 = n -2 . . . . . . . . divide by 30
10 = n . . . . . . . . add 2
The polygon has 10 sides.
The total of interior angles is ...
angle sum = 180°×(10 -2) = 1440°
The sum of interior angles is 1440°.
Answer:
10 sides and
1440° total of interior angles.
Step-by-step explanation:
The number of degrees in a polygon (sum of interior angles) is:
(n - 2)×180
This is the total. Here, n is the number of sides (same as the number of angles)
In your question, 2 of the angles are 120° and the remaining angles are 150°.
If n is ALL the angles, then (n-2) is all the 150° angles because the other 2 are 120°
So we can write an equation:
Our polygon:
120°+120°+(n-2)150°
=
(n-2)180°
Combine like terms:
240+(n-2)150=(n-2)180
Use Distributive property.
240+150n-300=180n-360
Again, combine like terms.
300 = 30n
Divide.
10 = n
n is the number of sides (and angles).
Check:
Ten-sided shape:
(10-2)180
= 1440°
Our shape:
120°+120°+ 8(150°)
= 240° + 1200°
= 1440° Check!
NO LINKS!! Please help me with this problem.
What is the standard form of the equation of the ellipse?
Answer:
[tex]\dfrac{x^2}{49}+\dfrac{y^2}{36}=1[/tex]
Step-by-step explanation:
From inspection of the given graph, we can see that the center of the ellipse is the origin (0, 0) and the longest diameter of the ellipse is across the x-axis.
Therefore, we can use the general equation of a horizontal ellipse with its center at (0, 0):
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]
where:
center = (0, 0)Vertices = (±a, 0)Co-vertices = (0, ±b)Foci = (±c, 0) where c²=a²−b²Major Axis: longest diameter (2a)Minor Axis: shortest diameter (2b)Major radius: one half of the major axis (a)Minor radius: one half of the minor axis (b)From inspection of the ellipse:
Vertices = (-7, 0) and (7, 0)Co-vertices = (0, 6) and (0, -6)Therefore, a = 7 and b = 6
Substitute the found values of a and b into the formula:
[tex]\implies \dfrac{x^2}{7^2}+\dfrac{y^2}{6^2}=1[/tex]
[tex]\implies \dfrac{x^2}{49}+\dfrac{y^2}{36}=1[/tex]
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[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The given figure shows a Horizontal Ellipse with its centre at origin, and as we observe the figure, we can conclude that :
Length of major axis is :
[tex]\qquad \sf \dashrightarrow \: 2a = 14[/tex]
[tex]\qquad \sf \dashrightarrow \: a = 7[/tex]
and that of minor axis :
[tex]\qquad \sf \dashrightarrow \: 2b = 12[/tex]
[tex]\qquad \sf \dashrightarrow \: b = 6[/tex]
Equation of Ellipse will be ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {a}^{2} } + \dfrac{ {y}^{2} }{ {b}^{2} } = 1[/tex]
[ plug in the values ]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {7}^{2} } + \dfrac{ {y}^{2} }{ {6}^{2} } = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ {x}^{2} }{ {49}^{} } + \dfrac{ {y}^{2} }{ {36}^{} } = 1[/tex]
Cheese fries or Home fries
it gotta be cheese fries fa sho
Consider a message signal m(t) with the spectrum shown in the following Figure. The message signal bandwidth W=1KHz, This signal is applied to a product modulator, together with a carrier Accos(2πfc t)wave producing the DSB-SC modulated wave S(t). This modulated wave is next applied to a coherent detector. Assuming perfect synchronism between the carrier waves in the modulator and detector, determine the spectrum of the detector output when: (a) The carrier frequency fc=1.25 KHz. And (b) The carrier frequency fc=0.75 KHz. What is the lowest carrier frequency for which each component of the modulated wave S(t) is uniquely determined by m(t)?
The lowest carrier frequency at which each modulated wave S(t) component may be uniquely defined by m(t) is
Fc,Fc+w,Fc-w =>1.5k,2.5k,0.5kHz
-Fc,-Fc+w,-Fc-w =>-1.5k,-0.5k,-2.5kHz
"-w,w -1kHz,1kHz" are the frequency components of the detector output in this case.
Fc,Fc+w,fc-w =>0.75k,1.75k,-0.25kHz
-Fc,-Fc+w,-Fc-w =>-0.75k,0.25k,-1.75kHz
This is further explained below.
What is the lowest carrier frequency for which each component of the modulated wave S(t) is uniquely determined by m(t)?For a modulated wave with frequency components, the equation looks like this:
Fc,Fc+w,Fc-w =>1.5k,2.5k,0.5kHz
-Fc,-Fc+w,-Fc-w =>-1.5k,-0.5k,-2.5kHz
"-w,w -1kHz,1kHz" are the frequency components of the detector output in this case.
b)
In conclusion, we may state that the modulated wave has frequency components as well.
Fc,Fc+w,fc-w =>0.75k,1.75k,-0.25kHz
-Fc,-Fc+w,-Fc-w =>-0.75k,0.25k,-1.75kHz
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Evaluate 8xy+16y/5x
if x = 4 and y=-5.
A-42
B-7
C-23
D-12
Answer:
D
Step-by-step explanation:
substitute x = 4 , y = - 5 into the expression
[tex]\frac{8(4)(-5)+16(-5)}{5(4)}[/tex]
= [tex]\frac{-160-80}{20}[/tex]
= [tex]\frac{-240}{20}[/tex]
= - 12
An administer of a college believes that 40% students of the college work in part time. He
randomly surveyed of 2,512 students and finds that 1,298 of them work in part time, that is, about 51.7% of
the student being surveyed work in part time.
1.
Is the study observational or experimental?
2.
What is the population of interest?
3.
What is the parameter of interest?
4.
What is the sample in the study?
5.
What is the statistic involved?
See below for the response to each question
Is the study observational or experimental?The study is experimental.
This is so because, the administer surveyed random college students
The population of interestThis is the total number of students in the college
Hence, the population of interest is the students in the college
The parameter of interestThis is the value that gives the required information.
Hence, the parameter of interest is the proportion of college students that work part-time
The sample in the studyThis is the students that were randomly surveyed
Hence, the sample in the study is the 2,512 students that were randomly surveyed
What is the statistic involvedThe statistic is the sample mean
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Write the following in simplified radical form.
3/40
Answer:
3.42
Step-by-step explanation:
what is the general direction of centurion from bronkhorspruit?
Answer:
Brock or separate is located nearly Westside to centure in gives best direction from the central only
A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.41 per box, and felt-tip pens cost $3.44. If the man's order of pens totaled $63.24, how many boxes of each type of pen did he buy?
How many boxes of felt-tip pens did he buy?
Answer:
3
Step-by-step explanation:
Let x = # of boxes of felt-tip pens.
(x)(3.44)+(4x)(4.41) = 63.24
21.08x = 63.24
x = 3
Because x = 3, the man bought 3 boxes of felt-tip pens and 12 boxes of ballpoint pens.
Find the measure of a when b=74 and c=165
Answer:
121°
Step-by-step explanation:
Angles around a point add to 360°.
[tex]a=360-74-165=\boxed{121^{\circ}}[/tex]
Please answer ASAP need steps.
Answer:
The ANSWER is 1/2 x (3/5) : (9/15) (-6/4) : (4/1) = -3/16 = -0.1875
Step-by-step explanation:
Multiple: 1/2 * 3/5 = 1 · 3/2 · 5 = 3/10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 10) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half multiplied by three fifths is three tenths.
Divide: the result of step No. 1 : 9/15 = 3/10 : 9/15 = 3/10 · 15/9 = 3 · 15/10 · 9 = 45/90 = 45 · 1/45 · 2 = 1/2
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 9/
15 is 15/9) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 45 gives 1/2.
In other words - three tenths divided by nine fifteenths is one half.
the result of step No. 2 * (-6/4) = 1/2* (-6/4) = 1 · (-6)/2 · 4 = -6/8 = -3 · 2/4 · 2= -3/4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-6, 8) = 2. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half multiplied by minus six quarters is minus three quarters.
Divide: the result of step No. 3 : 4 = -3/
4 : 4 = -3/4 · 1/4 = -3 · 1/4 · 4 = -3/16
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/
1 is 1/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - minus three quarters divided by four is minus three sixteenths.
log a^x² - 9log a³√x simplify
Answer:
log(a^x^2-27(radicalx))
Step-by-step explanation:
Assuming you have written your question correctly, this is it.
HELP PLSSSSSSSSSSSS!!!!!
Answer:
6 x 2 x 2 x 1
Step-by-step explanation:
6 x 2 = 12
12 x 2 = 24
24 x 1 = 24
PLS HELP I WILL GIVE YOU 100 POINTS… Question 4 (True/False Worth 4 points)
(07.07)
True or False?
When temperature rises, the number of people who go to the beach increases. Temperature is the independent variable in this situation.
True
False
Answer:
True
Number of people is dependent
Answer:
true because it's hots and people cool of by getting by getting the water
Point One = (0, -2)
Point Two = (-3,-5)
Slope-Intercept Form
Answer:
y = x - 2
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this formula, "m" represents the slope and "b" represents the y-intercept. Before writing our equation in this form, we first need to find the slope. The slope can be found using the point-slope formula:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope, "x₁" and "y₁" represent the values from Point One, and "x₂" and "y₂" represent the values from Point Two. You can find the slope by plugging the values from the points into the equation and then simplifying.
x₁ = 0 x₂ = -3
y₁ = -2 y₂ = -5
y₁ - y₂ = m(x₁ - x₂)
(-5 - (-2)) = m(-3 - 0)
-3 = m(-3)
1 = m
Now that we have a value for the slope, we can use the values from either one of the points to solve for the y-intercept (from the slope-intercept form equation).
m = 1
x = 0
y = -2
y = mx + b
-2 = (1)(0) + b
-2 = 0 + b
-2 = b
Therefore, the equation of the line in slope-intercept form is:
y = x - 2
For the piecewise function, find the values g(-1), g(2), and g(5). g(x)= x+4, for x≤2 9-x, for x>2
Answer:
g(-1) = 3, g(2) = 6, g(5) = 4
Step-by-step explanation:
Please refer to attached photo. (Apologies for the terrible handwriting.)
From here we can see,
g(x) = x + 4 applies for values x less than or equal to 2.
g(x) = 9 - x applies for values x more than 2 (which does not include 2.)
g(-1):
Since -1 < 2,
g(-1) = -1 + 4 = 3
g(2) = 2 + 4 = 6
g(5):
Since 5 > 2,
g(5) = 9 - 5 = 4
You reported to work one day and found out that the staffs are on strike over non payment of the previous year's bonus. Placards indicted the human resources director on this. Management is so worried about this situation and has asked you as the director of public relations to come out with a comprehensive report on the matter. What steps would you consider to undertake this assignment?
As the person that is in charge of public relations the steps that you would take to deal with the issue on ground would be:
Identify what the issue is.Set a priority based on the issueGet you position on the issueGet a way to respondTake actionMonitor the situationWhat is public relations?This is the term that is concerned with the part of management that is concerned with the maintenance of a positive image for an organization.
The director has to take proactive steps in order to take care of the issue in a timely and good manner.
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Otto builds and sells model cars. He made a graph to compare the number of days to the number of model cars. Three of the points form a proportional relationship, but one does not. Which point does not fit in the proportional relationship? Coordinate plane with Number of Days on the x-axis and Number of Model Cars on the y axis. 4 points are plotted in the plane: 2, 1; 4, 2; 6, 2; and 8, 4. A (2, 1) B (4, 2) C (6, 2) D (8, 4)
\
Need HELP ASAP
Answer:
I have attached a really rough graph!!
Step-by-step explanation:
The point that does not fit in the proportional relationship is (6,2) when we plot the other three points and join the points they will give us a staright line but the point (6,2) isnt lying on that staright line.. Therefore, it does not fit in the proportional relationship!
Answer:
(6,2)
Step-by-step explanation:
A restaurant hands out a scratch-off game ticket with prizes being worth
purchases at the restaurant. The back of the ticket lists the odds of winning
each dollar value: 0.4 for $10, 0.2 for $25, 0.01 for $30, and 0.004 for $75.
What are the odds that the ticket is worth at least $25?
Using the probability concept, the odds that the ticket is worth at least $25 are of 1:3.67.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering the probability, the odd is given by:
o = probability:(1 - probability)
From the given table, the probability that the ticket is worth at least $25 is:
p = 0.2 + 0.01 + 0.004 = 0.214.
Hence the odd is:
o = 0.214/(1 - 0.214) = 0.214/0.786 = 1:3.67.
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What will it cost to carpet a rectangular floor measuring 21 feet by 18 feet if the carpet costs $25.68 per square yard?
$1078.56
What is the formula of the area of the rectangle?The formula of the area of the rectangle = Length * Breadth
= 18*21 feet
= 378 feet^2
As cost of carpet is given in square yard. so convert area of rectangle in square yard.
1 square feet = 9 square yard
so, 378/9 = 42 square yard
Cost of carpet = $ 25.68 per square yard (given)
Total cost of rectangular floor = 25.68 * 42
= $1078.56 square yard
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$1078.56 is the cost to carpet a rectangular floor measuring 21 feet by 18 feet if the carpet costs $25.68 per square yard.
What will it cost to carpet a rectangular floor?Given:
A rectangular floor measuring 21 feet by 18 feet.The carpets cost $25.68 per square yard.Find:
Cost to carpet a rectangular floor.Solution:
The formula of the area of the rectangle = Length * Breadth
= 18*21 feet
= 378 feet^2
As the cost of the carpet is given in square yard. so convert an area of the rectangle into a square yard.
1 square foot = 9 square yards
so, 378/9 = 42 square yard
Cost of carpet = $ 25.68 per square yard (given)
Total cost of rectangular floor = 25.68 * 42
= $1078.56 square yard
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the probability that an international flight leaving is delay in departing (event D) is .28. The probability that an international flight is a transpacific flight is (event P) is .55. The probability that an international flight leaving the U.S is a transpacific flight and delay is .13. What is the probability that an international flight leaving the United states is delay in departing given that the flight is a transpacific flight?
The probability that an international flight leaving the United states is delay in departing given that the flight is a transpacific flight is 0.7
What is probability?Probability describes the likelihood of an event happening. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not.
The chance of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes. The probability of an event occurring can be anything between 0 and 1, as the favorable number of outcomes can never exceed the total number of outcomes.
According to the question,
P(D)=0.28
P(P)=0.55
P(D∩P)=0.13
Thus, the required probability,
P(DUP)=P(D)+P(P)-P(D∩P)
=0.28+0.55-0.13
=0.70
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each statement with its contrapositive.
Option 4,option 6, and option 2 is the respective contrapositive to the statements given. This can be obtained by understanding what contrapositive is and converting the statements.
What is contrapositive? Contrapositive: A statement which is obtained by interchanging both the hypothesis and conclusion of a given statement after contradicting them. For "if p then q" the contrapositive is "if not-q,then not-p "For example,Statement = If a figure is a square, then it is a quadrilateral.
Contrapositive = If a figure is not a quadrilateral, then it is not a square.
Here,
Statement 1: If two figures are congruent, then their corresponding sides are equal.Contrapositive: If the corresponding sides of two figures aren't equal, then the two figures aren't congruent. (Option 4)
Statement 2: If two numbers are even, then their product is even.Contrapositive: If the product of two numbers isn't even, then the two numbers aren't even. (Option 6)
Statement 3: If a figure is a pentagon, then the sum of its interior angles is 540°.Contrapositive: If the sum of the interior angles of a figure isn't 540°, then the figure isn't a pentagon. (Option 2)
Hence Option 4,option 6, and option 2 is the respective contrapositive to the statements given.
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2. Which of the following graphs show a function with domain 1 ≤ x ≤ 6? Select two that
apply.
Answer:
Graphs A and B
Step-by-step explanation:
Graphs A & B are using x-values 1-6 and stop there, which is what the domain is trying to find. Though, for the other graphs, these graphs are rather starting at 1 via the domain, while not going up to 6 on the domain.
The function f and g are given by [tex]f(x)=x^2[/tex] and [tex]g(x)=-^1_2 x+5[/tex].
Let R be the region bounded by the x-axis and the graphs f and g as shown at the bottom. Also, I only need you to answer part b, I've already finished part a.
a) Describe how you would find the area of R.
[tex]R=18 \frac{2}{3}[/tex]
b) The region R is the base of a solid. For each y, where
0 < y < 4, the cross-section of the solid taken perpendicular to the y-axis is a rectangle whose base lies in R and whose height is 3y. Explain how you would write an expression that gives the volume of the solid.
As you've pointed out, R is a different region that I originally thought. The area of R can be computed using either
[tex]\displaystyle \int_0^2 x^2 \, dx + \int_2^{10} -\frac x2 + 5 \, dx[/tex]
or
[tex]\displaystyle \int_0^4 (10-2y)-\sqrt y \, dy[/tex]
Either way, you've gotten the correct area for part (a).
For part (b), we can use part of the integral with respect to [tex]y[/tex] above. The horizontal distance between the curves [tex]y=x^2[/tex] and [tex]y=-\frac x2+5[/tex] is obtained by first solving for [tex]x[/tex],
[tex]y=x^2 \implies x=\sqrt y[/tex]
[tex]y=-\dfrac x2+5 \implies x = 10-2y[/tex]
so the length of each cross section is [tex]10-2y-\sqrt y[/tex].
The height of each cross section is [tex]3y[/tex].
Then the volume of the solid is
[tex]\displaystyle \int_0^4 3y \left(10-2y-\sqrt y\right) \, dy = \boxed{\int_0^4 -6y^2 + 30y - 3y^{3/2} \, dy}[/tex]
The instructions don't say to evaluate, but if you're looking for practice the volume ends up being 368/5, or 73 3/5.
0.1in has 4 threads how many threads are in 1 inch?
Answer:
40
Step-by-step explanation:
Set up a proportion
Inch/ threads = inch to threads
.1/4 = 1/x Cross multiple
.1x = 4 Divide both sides by .1
x = 40
1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1
Step-by-step explanation:
OK, let's assume it this way:
Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!
Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+
Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+...+(n+1)!-n!=(n+1)!-1!=(n+1)!-1
and boom problem solved
Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''. Which of the following statements is true for ΔABC and ΔA''B''C''?
Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
Translation is the movement of a point either up, left, right or down in the coordinate plane.
Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''.
Hence:
Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
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how many lines of symmetry does this figure have
Answer:
14 and please Mark me brainlist
Answer:
There are four lines of symmetry in this figure.
Step-by-step explanation:
First look at the mainframe, it has 2 lines of symmetry. And if you look at it diagonally, it has another 2 more lines.
So therefore there is 4 lines of symmetry in this H figure.
Please mark me the Brainliest!
4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the diameter of the circle x² + y² - 4x - 4y +4= 0
The standard form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .
How to find the standard equation of a hyperbolaIn this problem we must determine the equation of the hyperbola in its standard form from the coordinates of the foci and a general equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:
(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)
(h, k) = (2, 2)
To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the general equation of the circle into its standard form.
If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:
x² + y² - 4 · x - 4 · y + 4= 0
(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4
(x - 2)² + (y - 2)² = 2²
The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:
V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)
And the distance from the center to any of the vertices is 2 (semi-major distance, a) and the semi-minor distance is:
b = √(c² - a²)
b = √(3² - 2²)
b = √5
Therefore, the standard form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .
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