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GEOMETRY
HIGH SCHOOL GEOMETRY
ANALYTIC GEOMETRY
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Calculus and Analysis
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Circles
Congruence
Solid Geometry
Conic sections
Analytic geometry
Transformation properties
Performing transformations
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Analytic geometry Answers
Analytic geometry
asked 2021-03-11
Trace the curve
\(\displaystyle{y}=\frac{{x}}{{{x}-{1}}}{\left({x}+{3}\right)}\)
Analytic geometry
asked 2021-03-07
Trace the curve
\(\displaystyle{r}^{{2}}={4}{{\cos}^{\theta}{{\tan}^{{2}}\theta}}\)
Analytic geometry
asked 2021-03-06
Find an equation of the plane passing through the three points given. P = (2, 0, 0), Q = (0, 4, 0), R = (0, 0, 2)
Analytic geometry
asked 2021-03-02
Given two rectangles: 15m by 7m and 27m by 3m. Find the combined area.
Analytic geometry
asked 2021-02-26
The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Express your answer in terms of
\(\displaystyle\pi\)
and then round to two decimal places.
Analytic geometry
asked 2021-02-25
Let v = zk be the velocity field of a fluid in
\(\displaystyle{R}^{{3}}\)
. Calculate the flow rate through the upper hemisphere (z > 0) of the sphere
\(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}={1}.\)
Analytic geometry
asked 2021-02-21
Express
\(\displaystyle{\tan{\theta}}\)
in terms of
\(\displaystyle{\sin{\theta}}\)
.
Analytic geometry
asked 2021-02-16
Consider the line represented by the equation 5x + 2y = 10. How is the slope of the line related to values of A, B, and C in standard form Ax + By = C?
Analytic geometry
asked 2021-02-13
Given a right triangle. One of the angles is
\(\displaystyle{20}^{\circ}\)
. Find the other 2 angles.
Analytic geometry
asked 2021-02-12
The vertices of a tetrahedron correspond to four alternating corners of a cube. By using analytical geometry, demonstrate that the angle made by connecting two of the vertices to a point at the center of the cube is
\(\displaystyle{109.5}^{\circ}\)
, the characteristic angle for tetrahedral molecules.
Analytic geometry
asked 2021-02-08
You're riding a bicycle with 13-inch radius wheels. When the speed is 44ft/sec, how many revolutions are her wheels making per one minute?
Analytic geometry
asked 2021-02-06
The measure of an angle is 6 less than 5 times its complement. What is the measure of the complement?
Analytic geometry
asked 2021-02-05
Circulation of two-dimensional flows Let C be the unit circle with counterclockwise orientation. Find the circulation on C of the following vector fields.
a. The radial vector field
\(\displaystyle{F}={\left\langle{x},{y}\right\rangle}\)
b. The rotation vector field
\(\displaystyle{F}={\left\langle-{y},{x}\right\rangle}\)
Analytic geometry
asked 2021-02-03
A circle is inscribed in a right triangle. The length of the radius of the circle is 6 cm, and the length of the hypotenuse is 29 cm. Find the lengths of the two segments of the hypotenuse that are determined by the point of tangency.
Analytic geometry
asked 2021-02-01
Point K is on line segment ‾JL. Given JK = 2x - 2, KL = x - 9, and JL = 2x + 8, determine the numerical length of ‾KL.
Analytic geometry
asked 2021-01-31
Trace the curve of
\(\displaystyle{x}^{{3}}-{6}{x}^{{2}}+{11}{x}-{y}={6}\)
Analytic geometry
asked 2021-01-22
What id the circumference of the circle? use
\(\displaystyle\frac{{22}}{{7}}\)
for
\(\displaystyle\pi,{r}={21}\)
cm
Analytic geometry
asked 2021-01-13
What are verticle angles?
Analytic geometry
asked 2021-01-10
\(\displaystyle{\cos{{2}}}\theta=\frac{{28}}{{53}}\)
Find
\(\displaystyle{\sin{\theta}}\)
, if
\(\displaystyle{0}^{\circ}{<}\theta{<}{90}^{\circ}\)
Analytic geometry
asked 2021-01-08
Multiple Choice For Exercises 1−6, choose the correct letter. For Exercises 1 and 2 , use the diagram at the right.
The figure at the right is a Ferris wheel in the shape of a regular octagon with spokes extending from the center to each vertex and an apothem drawn. What is m∠1? A. 22.5 B. 45 C. 60 D. 67.5
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