Question

12x^2-3y^2+24y-84=0

give the exact coordinates of any four points on the hyperbola

Answer 1

hi can u help me

Answer 2

more hyperbola's?

Answer 3

yes

Answer 4

i'd love 2 help but don't know how to do them at all.

Answer 5

Just did as we did before find the x intercepts and the y-intercepts
to find x-intercepts let y=0
to find y-intercepts let x=0
both cases you were get a quadratic
use the quadratic equation
you can do it
i believe in you

Answer 6

but im stuck i got 12x^2-3(0)^2+24(0)-84=0

Answer 7

so i got 12x^2-0^2+0-84=0

Answer 8

so you have 12x^2-84=0 solve for x

Answer 9

add the 84 to both sides and then divide by 12 on both sides
then take the square root of both sides give you two x-intercepts

Answer 10

so i got x^2=7

Answer 11

so does x=7

Answer 12

and x=-7

Answer 13

To find the x-interceptGlossaryx-intercept The value of x at the point where a line or curve crosses the x-axis. , substitute in 0 for y and solve for x.




Expand the exponentGlossaryexponent A number that indicates the operation of repeated multiplication. (2) to the expressionGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .




Squaring a number is the same as multiplying the number by itself In this case, 0 squared is 0. Click here for more detail on this step




MultiplyGlossarymultiply To compute a product; to perform a multiplication. -3 by 0 to get 0.




Remove the parenthesesGlossaryparentheses Marks of inclusion (symbols: ( and ) ). Parentheses is the plural form of parenthesis. around the expressionGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 0.




MultiplyGlossarymultiply To compute a product; to perform a multiplication. 24 by each termGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or inside the parenthesesGlossaryparentheses Marks of inclusion (symbols: ( and ) ). Parentheses is the plural form of parenthesis. . Click here for more detail on this step




CombineGlossarycombine To join, or bring together. all similarGlossarysimilar Two polygons are similar if their corresponding sides are proportional. expressionsGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 . Click here for more detail on this step




Since -84 does not contain the variableGlossaryvariable A letter used to represent a number value in an expression or an equation. to solve for, move it to the right-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . by adding 84 to both sides.




DivideGlossarydivide To perform the operation of division. each termGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or in the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . by 12.




Simplify the left-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . by canceling the common factorsGlossaryfactor One of two or more expressions that are multiplied together to get a product. . Click here for more detail on this step




Simplify the right-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . by simplifying each termGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or . Click here for more detail on this step




Take the squareGlossarysquare A quadrilateral with four equal sides and four angles. rootGlossaryroot The root of an equation is the same as the solution to the equation. of both sides of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . to eliminateGlossaryeliminate To remove, to get rid of. the exponentGlossaryexponent A number that indicates the operation of repeated multiplication. on the left-hand side.




First, substitute in the + portion of the to find the first solutionGlossarysolution The value of a variable that makes an equation true. .




Next, substitute in the - portion of the to find the secondGlossarysecond A unit of measure for angles equal to 1/60 of a minute. solutionGlossarysolution The value of a variable that makes an equation true. .




The complete solutionGlossarysolution The value of a variable that makes an equation true. is the result of both the + and - portions of the solutionGlossarysolution The value of a variable that makes an equation true. .




To find the y-interceptGlossaryy-intercept The value of y at the point where a curve crosses the y-axis. , substitute in 0 for x and solve for y.




Expand the exponentGlossaryexponent A number that indicates the operation of repeated multiplication. (2) to the expressionGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .




Squaring a number is the same as multiplying the number by itself In this case, 0 squared is 0. Click here for more detail on this step




MultiplyGlossarymultiply To compute a product; to perform a multiplication. 12 by 0 to get 0.




Remove the parenthesesGlossaryparentheses Marks of inclusion (symbols: ( and ) ). Parentheses is the plural form of parenthesis. around the expressionGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 0.




CombineGlossarycombine To join, or bring together. all similarGlossarysimilar Two polygons are similar if their corresponding sides are proportional. expressionsGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .




MultiplyGlossarymultiply To compute a product; to perform a multiplication. each termGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or in the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . by -1. Click here for more detail on this step




FactorGlossaryfactor One of two or more expressions that are multiplied together to get a product. out the GCFGlossaryGCF G reatest C ommon F actor; the largest number that divides two or more numbers evenly. of 3 from each termGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or in the polynomialGlossarypolynomial An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers. . Click here for more detail on this step




FactorGlossaryfactor One of two or more expressions that are multiplied together to get a product. out the GCFGlossaryGCF G reatest C ommon F actor; the largest number that divides two or more numbers evenly. of 3 from




DivideGlossarydivide To perform the operation of division. both sides of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . by 3. Dividing 0 by any non-zero number is 0.




SetGlossaryset A well-defined group of objects. each of the factorsGlossaryfactor One of two or more expressions that are multiplied together to get a product. of the left-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . equal to 0.




Use the quadratic formulaGlossaryformula An equation that states a rule or a fact. to find the solutionsGlossarysolution The value of a variable that makes an equation true. . In this case, the values are a=1, b=-8, and c=28.

where


Use the standard form of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . to find a, b, and c for this quadratic.

a=1, b=-8, and c=28


Substitute in the values of a=1, b=-8, and c=28.




MultiplyGlossarymultiply To compute a product; to perform a multiplication. -1 by each termGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or inside the parenthesesGlossaryparentheses Marks of inclusion (symbols: ( and ) ). Parentheses is the plural form of parenthesis. . Click here for more detail on this step




Simplify the section inside the radicalGlossaryradical A root sign (symbol: ). . Click here for more detail on this step




Simplify the denominatorGlossarydenominator The bottom part of a fraction. of the quadratic formulaGlossaryformula An equation that states a rule or a fact. . Click here for more detail on this step




First, solve the + portion of




Simplify the expressionGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 to solve for the + portion of the Click here for more detail on this step




Next, solve the - portion of




Simplify the expressionGlossaryexpression A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 to solve for the - portion of the Click here for more detail on this step




The final answer is the combinationGlossarycombination A selection in which order has no importance. of both solutionsGlossarysolution The value of a variable that makes an equation true. .




These are the x and y interceptsGlossaryintercept The x-intercept of a line or curve is the point where it crosses the x-axis, and the y-intercept of a line or curve is the point where it crosses the y-axis. of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = .

No y-interceptGlossaryy-intercept The value of y at the point where a curve crosses the y-axis.

Answer 14

sorry if this is too long. but i hope it helps...

Answer 15

so toxic now we want to find y-intercetps so let x=0
what do you get?

Answer 16

go to mathway.com
it explains thoroughly how to do this problem if u enter it. good luck

Answer 17

12(0)^2-3y^2+24y-84=0

Answer 18

0^2-3y^2+24y-84=0

Answer 19

oh yeah toxic did take square root of boths on that pervius equation?

Answer 20

so x^2=7

Answer 21

x=sqrt{7}
x=-sqrt{7} is what you got right?

Answer 22

so okay it is (0,-sqrt{7})

Answer 23

and (0,sqrt{7})
but there are only two points
we need to find the other two

Answer 24

so what does that equation you just wrote with zeros look without zeros

Answer 25

can i do this tommorow i cant think it midnight where i am

Answer 26

ill be on tommorrow