Write an equation that says that the length of the green line is equal to the length of the black line minus the length of the blue line. Combine like terms. Then solve for w. 12 3w 21 Equation: W =

Q: A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the…

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Q: Determine the positive x solution for the following equation. 20+ x² = 45

A: The expression is given as 20 + x2 = 45 Separate the variable, we get x2 = 25

Q: Find the values of a, b, and c in the equation: 2x² + x –3 = 0.

A: Given, 2x2+x-3=0  We have to find the value of a, b  and  c

Q: Find a,b,c

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Q: etermine the type of solution. y = 3/7x - 8 3x - 7y = 1

A: Given equations are:y=37x-8                           ................(1)3x-7y=1…

Q: mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide.…

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Q: Solve by using the elimination/addition method. Write your answer as an ordered pair. 2x-7y=2.…

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Q: Determine the type of solution. y = 3/4x + 5 5y = 15/4x + 25

A: Approach to solve these types of questions: First, write the system of equations in slope-intercept…

Q: For what values of a will the equation an²t 4x2= I have no solution? Da>y □ a <-4 Daco as-4 □az 4

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Q: Solve by using the substitution method. Write your answer as an ordered pair. Please show your work.…

A: From the given equation: x+3y=8   .....(1)y=2x-9   .....(2)

Q: many of each coin does he nave? 0.05N+0.10D=2.20;N+D=23 Now use the equations to find the number of…

A: We have, This is the system of linear equations in two variablesSubstituting in We get,

Q: The cost of renting a car is $42/week plus $0.25/mile traveled during that week. An equation to…

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Q: x-2y = -15 12. 9x + 7y = -10

A: Question-   Solve system of linear equation by substitution

Q: (c) A candy floss machine can be rented for $90/day. (d) An arena charges $100 plus $85/day. (e) A…

A: It is known that, a linear equation is modelled using the formula, Dependent variable = Initial…

Q: A school is constructing a rectangular play area against an exterior wall of the school building. It…

A: To find the length (l) and area (A) as a function of width (w) .

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.