The time needed to install computer cables has a linear relationship with the number of feet of cable being installed. It takes 1whole1/2 hours to install 300 feet, and 1050 feet can be installed in 4 hours. Find the equation for the relationship. Let y be the feet of cable installed and x be the time in hours. Write the equation in slope-intercept form.

Q: A mother gives birth to a 6 pound baby. Every 2 months, the baby gains 4 pounds. If x is the age of…

A: Given problem:- A mother gives birth to a 6 pound baby. Every 2 months, the baby gains 4 pounds. If…

Q: Where is the number that represents slope in a linear equation?

A: A linear equation has form y=ax+b, where x is a variable and a, b are constanys. Hence the…

Q: Sophia has already prepared 1 kilogram of dough and will continue preparing 1 kilogram of dough…

A: Methods to formulate an equation help to find the required equation corresponding to the problem.…

Q: Write the equation of the line that passes through (-8,-6)  and has a slope of 1/2

A: Equation of a line passing through the point (c,d) with slope m is defined as y-d =mx-c

Q: State the slope line of y= -6 - 6/5

A:

Q: Find the slope of a line passing through two points.

A: The slope or gradient of a line is a number that describes both the direction and the steepness of…

Q: Find an equation of the line that has a slope of -2 and a y intercept of -1. Write your answer in…

A: We know that the Equation of a line in the slope-intercept form can be written as y=mx+b where m is…

Q: Use the given conditions to write an equation for the line in point-slope form and slope-intercept…

A: the given points are: (3,5) and (8,15)

Q: Identify the slope in −2x−4y=22

A: The equation of the line is -2x - 4y = 22   Rearrange the equation. Taking -2x to the RHS makes it…

Q: equation

A: We will find the slope of the line.

Q: If Marco hired a plumber for 5 hours the total cost would be $290. If he hired the same plumber for…

A: Given: If Marco hired a plumber for 5 hours the total cost would be $290. If he hired the same…

Q: I an equation for the line with slope m = 2 and which passes through the point - 10). er an equation…

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.