(a) Express the information given in this problem as two coordinate pairs, (h, d), where h is the number of hours and d is the depth of snow. (c) Find the equation of the line that passes through the two points in d = mh+b form. %3D
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.
![APPLICATIONS
4. A steady snowfall is coming down outside. Prestel decides to measure the depth of the snow on the ground.
After 4 hours, the snow is at a depth of 9 inches an after 8 hours it is at a depth of 14 inches.
(a) Express the information given in this problem
as two coordinate pairs, (h, d), where h is the
(b) Find the slope of the line that passes through
these two points. What are its units?
number of hours and d is the depth of snow.
(c) Find the equation of the line that passes
through the two points in d = mh+b form.
(d) What was the depth when the snowfall began
(h=0)? What would the depth be after 12
hours?
SON #5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3e13efc-eac5-44ac-9e92-de58bdc670dc%2Fd576ec7f-d3ac-4076-a32c-8d7e06584d0d%2F7gvhlac_processed.jpeg&w=3840&q=75)
![o2/ 19/21
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WRITING EQUATIONS IN SLOPE-INTERCEPT FORM
COMMON CORE ALGEBRA I HOMEWORK
FLUENCY
1. Each of the following lines has a slope and v-intercept that can be determined by examining the graph. For
each, state the slope, the y-intercept, and then write the equation in y=mx+b form (slope-intercept form).
y
(а)
(b)
Slope:
Slope:
y-intercept:
y-intercept:
Equation:
Equation:
2. Each of the following lines has a slope that can be determined by examining the graph. Use another poin
on the line to solve for the exact y-intercept. Then, state the equation of the line.
y
y
(а)
(b)
i ()
wonz
Slope:
Slope:
Solve for y-intercept:
Solve for the y-intercept:
Equation:
Equation:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3e13efc-eac5-44ac-9e92-de58bdc670dc%2Fd576ec7f-d3ac-4076-a32c-8d7e06584d0d%2F8taux2x_processed.jpeg&w=3840&q=75)
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