set up an equation and solve each problem. Suppose that the length of one leg of a right triangle is 3 inches more than the length of the other leg. If the length of the hypotenuse is 15 inches, find the lengths of the two legs.

Q: x4 – 7x2 – 18 = 0

A:

Q: a rectangle with a length of 22 feet and an uknown width w has a perimeter of 74 feet. set up and…

A:

Q: solve each problem by setting up and solving the appropriate equation. The length of a picture…

A: To find the dimensions of the picture

Q: Find the solution set of each equation 2x1 + 3x2 = 5

A:

Q: set up an equation and solve each problem. The total surface area of a right circular cylinder is…

A: The total surface area of a right circular cylinder is 32π square inches. The altitude of the…

Q: set up an equation and solve each problem. Find two integers whose product is 104 such that one of…

A: Consider the provided information, Find two integers whose product is 104 such that one of the…

Q: The width of the rectangle is half of its length. If the perimeter of the rectangle is 60 cm. Write…

A:

Q: Set up an equation and solve each of the following problems. To travel 60 miles, it takes Sue,…

A: Consider the provided information, Let t is the time for Doreen to go 50 miles and r is the Doreen's…

Q: solve each of the equations. -6x = 2x2

A: The given equation is, -6x=2x2 On rearranging the terms, we get -6x=2x22x2+6x=0

Q: set up an equation and solve each problem. The perimeter of a rectangle is 41 inches, and its area…

A: The perimeter of a rectangle is 41 inches, and its area is 91 square inches

Q: solve each equation. 30 - 19x - 5x2 = 0

A: We have to solve the equation: 30-19x-5x2=0 Rewriting the equation by arranging the terms,…

Q: The longest side of a triangle is six more units than the shortest side. The third side is twice the…

A: Given query is to find the sides of the triangle.

Q: b. F=-C+32 for C. 95

A:

Q: solve each equation. 6x4 - 31x2 + 18 = 0

A: 6x4 - 31x2 + 18 = 0

Q: set up an equation and solve each problem. Find two numbers such that their sum is 6 and their…

A: Find two numbers such that their sum is 6 and their product is 7.

Q: Without solving, determine the character of the solutions of each equation.(a) 3x2 + 4x + 5 = 0…

A: We know that for a standard quadratic equation ax2+bx+c=0, discriminant D of the given function is…

Q: Create an equation to solve for x, then solve to find its value. A 8 10x - 1 B.

A:

Q: solve each of the equations. 6x4 - 23x2 - 4 = 0

A: Given equation: 6x4-23x2-4=0

Q: solve each of the equations. x2 + 4x + 20 = 0

A: Given equation is x2+4x+20=0. To solve to the given equation. Solution: The degree of given equation…

Q: set up an equation and solve each problem. Suppose that the length of a certain rectangle is two…

A: The length of a  rectangle is two centimeters more than three times its width &  the area of the…

Q: solve each equation. 3x4 + 17x2 + 20 = 0

A: Given that the equation 3x4 + 17x2 + 20 = 0 To solve the given equation:-

Q: solve each equation. 4(x - 3) = -20

A: 4x-3=-20

Q: set up an equation and solve each of the following problems. The sum, in square yards, of the areas…

A: Given: Side of square is twice the length of a radius of the circle.

Q: Write the solution statement for all of the solutions to the equation - 5sec(0) = 10.

A:

Q: A flower-bed is in the shape of a triangle with one side twice the length of the shortest side and…

A: Solution:-  Given that a flower‐bed is in the triangle shape.   The shortest side is x   one…

Q: .6= /m-3 т-3

A: Given : 6 = m-3

Q: set up an equation and solve each of the following problems. Suppose that the area of a square is…

A: Let 'x' be the side of the square.

Q: set up an equation and solve each problem. Find three consecutive integers such that the product of…

A: Consider the three consecutive integers as x,  x+1  and  x+2. Given that the product of the smallest…

Q: If one root of the quadratic equation 2x? + kx -6 = 0 is 2, find the value of k Also, find the other…

A: given that one root of equation is 2

Q: Set up an equation and solve.A rectangular piece of metal is 5in. longer than it is wide. Squares…

A:

Q: set up an equation and solve each problem. The length of a rectangular floor is 1 meter less than…

A: Let the width of the rectangular floor be x. Then the length of the floor will be = (2x - 1) Given…

Q: solve each problem by setting up and solving the appropriate equation. Working together, Lolita and…

A: If work can be done in c hours by two persons and one person can complete the work in a hours and…

Q: set up an equation and solve each of the following problems. Suppose that the length of a rectangle…

A: An equation can be defined as a mathematical statement consisting of an equal symbol between two…

Q: set up an equation and solve each problem. Find two numbers such that their sum is 10 and their…

A: Given- The sum of two number is 10 and their product is 22. To find- The value of two numbers.…

Q: solve each equation. 5x2 = 43x - 24

A: 5x2 = 43x - 24 It can be re-written as  5x2 - 43x + 24 = 0

Q: solve each of the equations. b2 = -7b

A:

Q: solve each equation. 6x2 + 7x - 20 = 0

A:

Q: solve each equation. 4y - 3 = 21

A: Given equation: 4y-3=21

Q: set up an equation and solve each of the following problems. The total surface area of a right…

A: Given: Total surface area of the cylinder is 54π square inches. Altitude is twice the length of the…

Q: set up an algebraic equation and solve each problem. A 20-foot board is to be cut into two pieces…

A: Given- A 20-foot board is to be cut into two pieces whose lengths are in the ratio of 7 to 3. To…

Q: set up an equation and solve each problem. The sum of the lengths of the two legs of a right…

A:

Q: solve each equation. 20x2 + 41x + 20 = 0

A: we have to solve the equation 20x2 + 41x + 20 = 0.

Q: The sum of the three angles in a triangle in 180°. Three angles of a triangle are: (x-20)°, 50°, and…

A:

Q: solve each equation. 9x4 - 37x2 + 4 = 0

A: The given equation is, 9x4-37x2+4=0 To find the solution of the given equation, we use the…

Q: Solve each equation: (a) x2 = 5 (b) (x - 2)2  = 16

A: To solve given equations: a)x2=5 x2=5 On simplifying further we get: ⇒x2=5⇒x=±5Required solutions…

Q: set up an equation and solve each problem. Suppose that the sum of two numbers is 20, and the sum of…

A:

Q: give the justification for each step of solving the equation 9x+12=10x-5

A:

Q: Solve each equation by completing the square. 8. x - 6x = -4 9. x +8= 6x 10. 2x - 20x = 8 11. x 24-…

A: x2+8=6x

Q: Solve the equation, then find S the sum of the solutions: | 5x + 4| = | x + 9|

A: Given equation :

Q: solve each equation. 3 + 6/(t - 3) = 6/(t2 - 3t)

A: We have the given rational equation as 3+6t-3=6t2-3t

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.