X^2/16 y^2/9=1 247121-X^2/9-y^2/16=1 hyperbola
x^2/16y^2/9=1 a^2=16 b^2=9 The center is (0,0) The xaxis is the major axis We know this because the x^2 term has the larger denominator We find the foci using the following equation and solving for c c^2=a^2b^2 c^2=169 c^2=7 c=sqrt(7) The coordinates for the foci are (c,0) > (sqrt(7),0)Equation at the end of step 1 ((9 • (x 2)) 24xy) 2 4 y 2 Step 2 Equation at the end of step 2 (3 2 x 2 24xy) 2 4 y 2 Step 3 Trying to factor a multi variable polynomial 31 Factoring 9x 2 24xy 16y 2 Try to factor this multivariable trinomial using trial and error1y=16(25)^x 2y=08(128)^x 3y=17(1/5)^x'' How do I determine if this equation is a linear function or a nonlinear function?
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X^2/9-y^2/16=1 hyperbola
X^2/9-y^2/16=1 hyperbola-If a point P (x, y) moves along the ellipse (x^2 / 16) (y^2 / 25) = 1 and C is the centre of the ellipse, then the sum of maximum and minimum values of CP isClick here👆to get an answer to your question ️ If e1 is the eccentricity of the ellipse x^2/16 y^2/25 = 1 and e2 is the eccentricity of the hyperbola passing through the foci of the ellipse and e1 e2 = 1 , then the equation of the hyperbola, is
Simple and best practice solution for X2y=16 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand,Trigonometry Graph ( (x)^2)/9 ( (y)^2)/16=1 (x)2 9 − (y)2 16 = 1 ( x) 2 9 ( y) 2 16 = 1 Simplify each term in the equation in order to set the right side equal to 1 1 The standard form of an ellipse or hyperbola requires the right side of the equation be 1 1 (x)2 9 − (y)2 16 = 1 ( x) 2 9 ( y) 2 16 = 1 This is the form of a hyperbolaGraph (x2)^2(y1)^2=16 This is the form of a circle Use this form to determine the center and radius of the circle Match the values in this circle to those of the standard form The variable represents the radius of the circle, represents the xoffset from the origin, and represents the yoffset from origin
X = y (8 − y) 1, y ≥ 0 and y ≤ 8 View solution steps Steps by Finding Square Root ( x 1 ) ^ { 2 } ( y 4 ) ^ { 2 } = 16 ( x − 1) 2 ( y − 4) 2 = 1 6 Subtract \left (y4\right)^ {2} from both sides of the equation Subtract ( y − 4) 2 from both sides of the equation Ex 81, 4 Find the area of the region bounded by the ellipse 𝑥216 𝑦29=1 Equation Of Given Ellipse is 𝑥216 𝑦2 Ex 114, 1 Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola x2 16 y2 9 = 1 Given equation is 2 16 2 9 = 1 The above equation is of the form 2 2 2 2 = 1 So axis of hyperbola is xaxis , Comparing (1) & (2) a2 = 16 a = 4 & b2 = 9 b = 3 Now, c2 = a2 b2 c2 = 16 9 c2 = 25 c = 5 Coordinate of foci = ( c, 0)
Find dy/dx (x^2)/16(y^2)/9=1 Differentiate both sides of the equation Differentiate the left side of the equation Tap for more steps By the Sum Rule, the derivative of with respect to is Evaluate Tap for more steps Since is constant with respect to , the derivative of with respect to isClass12 1 vote 1 answerX y = G What can QuickMath do?
Use the distributive property to multiply y by x 2 1 Add x to both sides Add x to both sides All equations of the form ax^ {2}bxc=0 can be solved using the quadratic formula \frac {b±\sqrt {b^ {2}4ac}} {2a} The quadratic formula gives two solutions,See the answer 7 Show transcribed image text Expert Answer Previous question Next questionEquation at the end of step 1 x 2 16x 1 = 0 Step 2 Parabola, Finding the Vertex 21 Find the Vertex of y = x 216x1 Parabolas have a highest or a lowest point called the Vertex Our parabola opens up and accordingly has a lowest point (AKA absolute minimum)
X^2 2 y^2 = 1 Natural Language;Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyExtended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by highschool and college students The algebra section allows you to expand, factor or simplify virtually any expression you choose It also has commands for splitting fractions into partial fractions Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola x^2/16 y^2/9=1$\begingroup$ $16^{x^2y}16^{xy^2} = 16^{x^2y^2}(16^{yy^2}16^{xx^2})$ $\endgroup$ – James S Cook Feb 14 '14 at 1432 Add a comment 3 Answers 3
Find the area of the smaller region bounded by the ellipse x^2/16 y^2/9 = 1 and the straight line 3x 4y = 12 asked in Mathematics by Samantha ( The equation of the circle passing through the foci of the ellipse (x^2/16) (y^2/9) = 1 having centre at (0, 3) is asked in Two Dimensional Analytical Geometry – II by Navin01 (507k points) two dimensional analytical geometry;Trigonometry Graph ( (x2)^2)/9 ( (y3)^2)/16=1 (x − 2)2 9 − (y − 3)2 16 = 1 ( x 2) 2 9 ( y 3) 2 16 = 1 Simplify each term in the equation in order to set the right side equal to 1 1 The standard form of an ellipse or hyperbola requires the right side of the equation be 1 1
X^2/9 y^2/16 Z^2/9 = 1 This problem has been solved!Math Input NEW Use textbook math notation to enter your math Try itX 22x1 = (x1) 2 then, according to the law of transitivity, (x1) 2 = 16/9 We'll refer to this Equation as Eq #421 The Square Root Principle says that When two things are equal, their square roots are equal Note that the square root of (x1) 2 is (x1) 2/2 = (x1) 1 = x1 Now, applying the Square Root Principle to Eq #421 we get x1 = √ 16/9 Add 1 to both sides to obtain x = 1 √ 16/9
How do you place 02,Find all $x, y \in \mathbb{R}$ such that $$16^{x^2 y} 16^{x y^2} = 1$$ The first obvious approach was to take the log base $16$ of both sidesExtended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music
The standard form of the equation for an ellipse is given by (x −xc)2 a2 (y − yc)2 b2 = 1 with the point (xc,yc) representing the center, the value a representing the horizontal semiaxis length, and the value b representing the vertical semiaxis length From inspection of the original equation, we can see that xc = 0 and yc = 002 −10 30 65 92 110 166 156 126 80 46 15 −10 Precipitación total (mm) 690 585 347 452 269 67 02 17 238 673 977 923 5228 Días de precipitaciones (≥ 1 mm) 69 64 48 56 32 09 01 02 25 56 72 81 507 Horas de sol 184 197 228 255 307 331 354 334 252 228 187 166 3023 Humedad relativa (%) 75 74 71 69 70X^3 x^2 y x y^2 y^3 Natural Language;
A comparison of two methods to solve a difference of squares equation The first method is to isolate the square and take the square root of each side TheSee the answer See the answer See the answer done loading Show transcribed image text Expert Answer Who are the experts?X2 (3/2)x = 9/16 Now the clever bit Take the coefficient of x , which is 3/2 , divide by two, giving 3/4 , and finally square it giving 9/16 Add 9/16 to both sides of the equation On the right hand side we have 9/16 9/16 The common denominator of the two fractions is 16 Adding (9/16) (9/16) gives 0/16
1 First of all, start with drawing the ellipse and the straight line in one xy It'll make it much easier to see what we're talking about here 2 Pay attention to the question You want the region that is bounded by, and only, the ellipse and thQuestion For The Ellipse X^2/16 Y^2/9 = 1, If Y(r) = 3 Sin T Determine A Corresponding Parametric Equation Of X(f) In Terms Of T This problem has been solved!Experts are tested by Chegg as specialists in their subject area We review their content and use your feedback to keep the quality high
Given x2 y2 = 16 Note that we can rewrite this equation as (x −0)2 (y −0)2 = 42 This is in the standard form (x −h)2 (y −k)2 = r2 of a circle with centre (h,k) = (0,0) and radius r = 4 So this is a circle of radius 4 centred at the origin graph {x^2y^2 = 16 10, 10, 5, 5}Y^2/16x^2/9=1 This is an equation of ^2 (xh)^2/b^2=1 for given equation Center (0,0) a^2=16 a=4 b^2=9 b=3Finding the points of intersection x^2 y^2 = r^2 — Eq 1 x^2/16 y^2/9 = 1 — Eq 2 from Eq 1 x^2 = r^2 y^2 — substitute this in Eq 2 and find the value of y Therefore, y = or sqrt((144–9*r^2)/7) — substitute this in Eq 1 to find value of
The equation of the circle passing through the foci of the ellipse (x^2/16) (y^2/9) = 1 having centre at (0, 3) is asked in Two Dimensional Analytical Geometry – II by Navin01 ( 507k points)Solve for x Multiply both sides of the equation by , the least common multiple of 16,625 Multiply both sides of the equation by 1 0 0 0 0, the least common multiple of 1 6, 6 2 5 Add 16y^ {2} to both sides Add 1 6 y 2 to both sides Divide both sides by 625X^2/16y^2/9=1 a^2=16 , b^2=9 b^2=a^2(1e^2) b^2=a^2a^2e^2 a^2e^2=a^2b^2=16–9=7 ae=/(7)^1/2 F(/ae,0) or (/7^1/2,0) Eq Of circle is (xx1)^2(yy1)^2=r
Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, musicMillennials, also known as Generation Y or Gen Y, are the demographic cohort following Generation X and preceding Generation ZResearchers and popular media use the early 1980s as starting birth years and the mid1990s to early 00s as ending birth years, with the generation typically being defined as people born from 1981 to 1996 Most Millennials are the children of baby boomersSolution for y/92=16 equation y/92=16 We move all terms to the left y/92(16)=0 We add all the numbers together, and all the variables y/918=0 We multiply all the terms by the denominator y18*9=0 We add all the numbers together, and all the variables y162=0 We move all terms containing y to the left, all other terms to the right y=162
Graph ((x2)^2)/9((y1)^2)/16=1 Simplify each term in the equation in order to set the right side equal to The standard form of an ellipse or hyperbola requires the right side of the equation beQuestion Describe And Sketch The Surface X^2/4 Y^2/9 = 1 Y^2 Z^2 = 4 Z = X^2 4y^2 Y^2 = 4x^2 9z^2 X^2/16 Y^2/25 Z^2/25 = 1 Y^2/9 X^2/9 Z^2 = 1(x9) 2 is (x9) 2/2 = (x9) 1 = x9 Now, applying the Square Root Principle to Eq #321 we get x9 = √ 16 Add 9 to both sides to obtain x = 9 √ 16 Since a square root has two values, one positive and the other negative x 2 18x 65 = 0 has two solutions x = 9 √ 16 or x = 9 √ 16 Solve Quadratic Equation using the Quadratic Formula
Steps Using the Quadratic Formula \frac { ( x 1 ) ^ { 2 } } { 16 } \frac { ( y 1 ) ^ { 2 } } { 9 } = 1 1 6 ( x − 1) 2 − 9 ( y 1) 2 = 1 Multiply both sides of the equation by 144, the least common multiple of 16,9 Multiply both sides of the equation by 1 4 4, the least common multiple of 1 6, 9The given equation of the ellipse, `x^2/16 y^2/9 = 1` can be represented as It can be observed that the ellipse is symmetrical about xaxis and yaxis ∴ Area bounded by ellipse = 4 × Area of OAB Therefore, area bounded by the ellipse = 4 × 3πWeekly Subscription $199 USD per week until cancelled Monthly Subscription $699 USD per month until cancelled Annual Subscription $2999 USD per year until cancelled
Take the square root of both sides of the equation x^ {2}y^ {2}9=0 Subtract 9 from both sides y^ {2}x^ {2}9=0 Quadratic equations like this one, with an x^ {2} term but no x term, can still be solved using the quadratic formula, \frac {b±\sqrt {b^ {2}4ac}} {2a}, once they are put in standard form ax^ {2}bxc=0
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