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SECONDARY
GEOMETRY
HIGH SCHOOL GEOMETRY
ANALYTIC GEOMETRY
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Analytic geometry questions and answers
Recent questions in Analytic geometry
2022-01-19
Volume of triangular pyramid to nearest whole number 8/16/12
oliviayychengwh
2021-12-21
Answered
The distance between point
\(\displaystyle{P}_{{{1}}}{\left(\rho_{{{1}}},\ \theta_{{{1}}},\ \phi_{{{1}}}\right)}\)
and
\(\displaystyle{P}_{{{2}}}{\left(\rho_{{{2}}},\ \theta_{{{2}}},\ \phi_{{{2}}}\right)}\)
given in spherical coordinates extract the formula.
William Curry
2021-12-21
Answered
A. Let
\(\displaystyle{\left({X},\ {d}\right)}\)
be a metric space. Define a diameter of a subset A of X and then the diameter of an open ball with center at
\(\displaystyle{x}_{{{0}}}\)
and radios
\(\displaystyle{r}{>}{0}\)
B. Use (A) to show that every convergence sequence in
\(\displaystyle{\left({X},\ {d}\right)}\)
is bounded.
Ernest Ryland
2021-12-20
Answered
Solve, please.
\(\displaystyle{\cos{{\left({2}{x}\right)}}}={1}\)
elvishwitchxyp
2021-12-20
Answered
Using the technique of integration by parts evaluate the integral of the product of function
\(\displaystyle{\left[{5}+{5}\right]}\)
a)
\(\displaystyle{I}=\int{{\sin}^{{-{1}}}{x}}\ {\left.{d}{x}\right.}\)
b)
\(\displaystyle{I}=\int{x}^{{{3}}}{\ln{{x}}}\ {\left.{d}{x}\right.}\)
Maria Huey
2021-12-19
Answered
Explain, please, what is the measure of one interior angle of a regular nonagon?
Salvatore Boone
2021-12-19
Answered
What shapes are quadrilateral?
Donald Johnson
2021-12-19
Answered
The radius of a circle is 10 inches. What is the area?
Given the exact answer in simplest form
Ben Shaver
2021-12-19
Answered
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.
Linda Seales
2021-12-18
Answered
When is a rectangle a regular polygon?
Priscilla Johnston
2021-12-18
Answered
Can a rectangle be a rhombus?
Joseph Krupa
2021-12-18
Answered
Use a graphing utility to graph the given function and the equations
\(\displaystyle{y}={\left|{x}\right|}\ {\quad\text{and}\quad}\ {y}=-{\left|{x}\right|}\)
in the same viewing window. Using the graphs to observe the Squeeze Theorem visually, find
\(\displaystyle\lim_{{{x}\Rightarrow{0}}}{f{{\left({x}\right)}}}\)
.
\(\displaystyle{f{{\left({x}\right)}}}={\left|{x}\right|}{\cos{{x}}}\)
Marenonigt
2021-12-18
Answered
Consider the solid in xyz-space, which contains all points (x, y, z) whose z-coordinate satisfies
\(\displaystyle{0}\le{z}\le{4}-{x}^{{{2}}}-{y}^{{{2}}}\)
Which statements do hold?
a) The solid is a sphere
b) The solid is apyramid
c) Its volume is
\(\displaystyle{8}\pi\)
d) Its volume is
\(\displaystyle{\frac{{{16}\pi}}{{{3}}}}\)
Russell Gillen
2021-12-18
Answered
Knowing their linear relationship, find the expression of
\(\displaystyle^{\left\lbrace\circ\right\rbrace}{C}\)
in terms of
\(\displaystyle^{\left\lbrace\circ\right\rbrace}{F}\)
using the point-slope form af analytic geomtry. With boiling of
\(\displaystyle{100}^{{\circ}}{C}={212}^{{\circ}}{F}\)
and the freezing point of
\(\displaystyle{0}^{{\circ}}{C}={32}^{{\circ}}{F}\)
Francisca Rodden
2021-12-18
Answered
Solve for x
pogonofor9z
2021-12-17
Answered
Find the distance d between the points
\(\displaystyle{P}_{{{1}}}\)
and
\(\displaystyle{P}_{{{2}}}\)
\(\displaystyle{P}_{{{1}}}={\left({1.2},\ {2.3}\right)}\)
\(\displaystyle{P}_{{{2}}}={\left(-{0.3},\ {1.1}\right)}\)
eozoischgc
2021-12-17
Answered
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
\(\displaystyle{F}={\left\langle-{y},\ {x}\right\rangle}\)
Gregory Emery
2021-12-17
Answered
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.
Gwendolyn Willett
2021-12-16
Answered
Find the area of the surface generaled by revolving the curve
\(\displaystyle{x}={\frac{{{e}^{{{y}}}+{e}^{{-{y}}}}}{{{2}}}}\)
in the interval
\(\displaystyle{0}\le{y}\le{\ln{{3}}}\)
about the y-axis
Kelly Nelson
2021-12-16
Answered
Find the intersection of the line
\(\displaystyle{x}={\frac{{{y}-{1}}}{{{2}}}}={\frac{{{z}-{2}}}{{{3}}}}\)
and the shere
\(\displaystyle{x}^{{{2}}}+{\left({y}-{3}\right)}^{{{2}}}+{\left({z}-{2}\right)}^{{{2}}}={4}\)
a) (1, 1, 0)
b) (1, 2, 3)
c) (0, 2, 3)
d)
\(\displaystyle{\left({\frac{{{1}}}{{{6}}}},\ {\frac{{{23}}}{{{6}}}},\ {\frac{{{17}}}{{{6}}}}\right)}\)
e)
\(\displaystyle{\left({\frac{{{4}}}{{{7}}}},\ {\frac{{{15}}}{{{7}}}},\ {\frac{{{26}}}{{{7}}}}\right)}\)
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