Describe in words the variation shown by the equation z =k√x/y2.

Q: What is the value of x that would make the equation (27x) 3 = 243 true?

A: Given:          (27x)5/3 = 243         (27x)5/3  = 275/3  Powers are equal on both sides of…

Q: d) (2x +5) (4y-1)° (3x-33)

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Q: In the diagram below, assuming line a is parallel to line b, the measure of 21 is equal to (2x) a…

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Q: An imperial tie-fighter spaceship is 25 parsecs south of a rebel x-wing ship. If the tie-fighter…

A: The figure can be drawn as By sum of angles of a triangle, the remaining angle is  90°-72°=18° The…

Q: Prove the equations 3.x +9 = 2 are equivalent. Explain why or y or

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Q: Use the given diagram to set up an equation and solve for X. (4x+20Y 40° Equation:

A: Given: To set up: An equation and to solve for x.

Q: Which of the values for x and y make the equation 3x + 4y + 6 = 26 true?

A: 3x +4y +6 = = 26 ( this is the equation of straight line and on one line there are infinite points…

Q: If y satisfies the given conditions, find y(x) for the given value of x. y ' (x) = 5/square root of…

A: We have to find

Q: In the diagram of ATUV , WX is parallel to TV with UW =16 and TW = 6. It is known that XV is 6 units…

A: a= length of UX a-6=length of XV here triangles UWX and UTV are similar triangles so we can write…

Q: The hypotenuse of a 30-60-90 triangle is 16 feet, find the area of the triangle.

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Q: In the blanks below, put either "square root", "cube root", "2" or "3" In the equation y = x², to…

A: In equation y=x2, x is squared. So to get rid of the square we need to square root both sides.…

Q: The area of a triangular flag, y, is given by the equation below, where x is the length of the base.…

A: The objective is to find the length of the base with given area.

Q: Which of the values for x and y make the equation 3x + 4y + 6 = 26 true:

A: Given : 3x+4y+6 = 26

Q: On an exam, Jason was asked to differentiate the equation                                 x2 + 2xy +…

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Q: While completing the square, the equation x2+ax+y2+by=c is rewritten as (x2+ax+d)+(y2+by+e)=c+d+e…

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Q: -9x + 12y 24 y%3D 4 x-5 = -

A: Given -9x+12y=24y=34x-5

Q: Use the substitution technique to solve the following equations, then submit the picture. y = 4x + 6…

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Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

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Q: The area of a square is given by 625x y. What is the length of one side of the square? O 25°xy O…

A: .

Q: Step 2 Substitute / w+ 4 into Equation 1 and solve the resulting equation for w. 21+ 2w 48 2(w+4) +…

A: Explanation and solutions is given below.....

Q: Use the discriminant to determine the type and number of solutions for the equation. 5.3y2 + y + 3 =…

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Q: The area of a triangular flag, y, is given by the equation below, where x is the length of the base.

A: The area of the triangular flag is given by, y=3x2+6x , Where y is the area of the flag and x is the…

Q: If y varies directly with the cube root of z, and y 8 when z = 64, which formula describes this…

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Q: The length of the hypotenuse of a right triangle with legs measuring 5 m and 12 m is 60 m b) 169 m…

A: We have to find the hypogenous of a right tringle with legs measuring  5 m and 12 m. Let Base=5 m…

Q: APQR and AXYZ are similar with m4P = m4X and maQ = maY. If PQ. QR, and PR are 7 inches. 9 inches,…

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Q: Use the information in the diagram to solve for x and y. 23. (2x- 3y)° (4x-° (6x+ 2y) 4x (2x- 5y X*…

A: Find x and y .

Q: The diagram below shows rectangle WXYZ with P as the intersection of the two diagonals. If WY : 22…

A: The diagonals of a rectangle are equal and bisect each other.

Q: What is the nature of the following equation? 2x + y = 4 Slanted None of these Horizontal Vertical

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Q: Complete the steps to find the value of x. 118° 4. (8x + 6)° (8r +6)° = m4 %3D (8r + 6)° = 8x =

A: Given two parallel lines

Q: The equation of circle M is given as (2 + 6)2 (y 2) = 64. What is the diameter of Cirlce M?

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: y" – 7y' = 6e6x бебх %3D

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Q: In AFGH, the measure of ZH=90°, the measure of ZF=75°, and HF = 31 feet. Find the length of GH to…

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Q: -y(2x+y) x(x+2y) - y'=-

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: In any trapezoid, the sum of the squares on the diagonals is equal to the sum of the squares on the…

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Q: Describe in words the variation shown by the given equation : z = k√x/y2

A: Given: z=kxy2 To Describe: Describe in words the variation shown in the given above equation.

Q: Find y', given that y= e*e(3x}+3x* answer should be in simplest form.

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Q: Find the distance bofween frcù of y?=3x² +16 %3D

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Q: If 2x + 8y 9 is a true equation, what would be the value of 4x + 16y?

A: Linear equation

Q: Jamar is building a doghouse with the front of the roof shaped like an isosceles triangle. Angles in…

A: Isosceles triangle: The base angles are equal i.e,    The sides opposite to the base angle are…

Q: If ABCD is a square, solve for x and y. A 30 В (3x + 48) 8y-2 D C

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Q: Which ordered pairs are solutions to the equation x+6y=4?

A: The equation is x+6y=4

Q: Solve for x and write your answer in the spot provided. (Lines a and b are parallel.) а 4x + 1 b 7r…

A: We know that when two lines which are parallel  cut by a traversal  then alternate exterior angles…

Q: I, AORD, mADRO = 2x, mARDO =* +30 and mAWOR = 5x - 50. Which equation would be used to determine the…

A: Given  m∠DRO = 2xm∠RDO =x +30 m∠WOR = 5x - 50

Q: Find the values of x, y, and z in the triangle to the right. (3x+8)° (3x-8)° 20 y%3=

A: The sum of the exterior and interior angle of the triangle is 180 degrees. Sum of the interior…

Q: roof

A: The solution is given below

Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a +…

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Q: a.If y = kx2, find the value of k using x = 2 and y = 64. b.Substitute the value for k into y = kx2…

A: To Determine: a) find the value of k. b) substitute the value for k into y=kx2 and write the…

Q: If CF = 3y - 48 and EF = y, find the value of y in rectangle BCDE. %3D C E y = Submit B,

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.