Translation of a Conic Section - Precalculus - Socratic
Find the coordinate of the vertices foci, end points of the minor axis, center, latus recta, the equation of the directrices, sketch the equation of #x^2+9y^2-24x-54y+51=0#?
How to arrange the following atoms and ions in order of …
Dec 3, 2017 · The atomic radius of these elements and ions will increase in the following order: O; Al^(3+), Si, Al, [O^(2-)]; Ag, Rb; Cs The semi-colons (;) indicate a new period (row). See below for [O^-2]. Atomic size decreases left to right on the periodic table because the attractive force of the protons on the same number of rings of electrons increases for each element as we move left …
How do you know if an equation is linear or non-linear?
Jan 26, 2018 · Refer to the explanation. An equation is considered linear, if it is in the form of y=mx+b where m is the slope of the equation, and b is the y-intercept. Notice how here, x can only be to the power of 1. In here, the conditions are just simply: m,b\\inRR Some examples include y=5x+4, y=x-2, y=0, and even some like x=1. Let me graph them so that you can see: y=5x+4 …
What is #3.248# repeating as a fraction? - Socratic
Aug 28, 2017 · 3.24bar(8) = 731/225 3.2bar(48) = 1608/495 3.bar(248) = 3245/999 Note that the words "3.248 repeating" are ambiguous, in that they do not indicate which part of the string 248 is repeated. A useful notation to indicate the repeating section is to draw a bar over the repeating portion: 3.24bar(8) = 3.248888888... 3.2bar(48) = 3.248484848... 3.bar(248) = 3.248248248...
Find the volume of the solid via cross-sections? | Socratic
Sep 20, 2017 · 36 \\ \\ \\ \\ \\ "units"^3 Consider a vertical view of the base of the object. The grey shaded area represents a top view of the right angled triangle cross section. In order to find the volume of the solid we seek the volume of a generic cross sectional triangular "slice" and integrate over the entire base (the circle) The equation of the circle is: x^2 + y^2 = 3^2 So for some …
A hole of radius r is bored through the center of a sphere of radius …
May 22, 2018 · (4pi)/3 (R^2-r^2)^(3/2) We basically are being asked to calculate the volume of a spherical bead, that is, a sphere with a hole drilled through it. Consider a cross section through the sphere, which we have centred on the origin of a Cartesian coordinate system, and assuming R gt r: The red circle has radius R, hence its equation is: x^2+y^2=R^2 Method 1 - Calculate …
How do you find the center and radius for #x^2 + y^2 - 6x - 4y
Nov 1, 2016 · What conic section does the equation #2x^2+4xy+6y^2+6x+2y=6# represent? What is the equation of a circle with a radius of 5? How do you find equation of ellipse with two vertices V1(7,12) and V2(7, -8), and passing...
How do you find general form of circle centered at (2,3) and
Jan 14, 2016 · Understand that the contact point with the x-axis gives a vertical line up to the center of the circle, of which the distance is equal to the radius. (x-2)^2+(x-3)^2=9 (x-h)^2+(x-k)^2=ρ^2 Tangent to the x-axis means: Touching the x-axis, so the distance from the center is the radius. Having the distance from it center is equal to the height (y). Therefore, ρ=3 The …
What were the three R's of FDR's New Deal? - Socratic
Oct 18, 2017 · The Three R's of the New Deal were: Relief Recovery Reforms Relief was meant at to provide temporary help to the massive number of Americans who were unemployed during the Great Depression. Federal organizations such as the Civilian Conservation Corps (CCC) and the Works Progress Administration (WPA) gave government funded jobs to people as a way to …
Calculating Volume using Integrals - Calculus - Socratic
The base of a solid is the region in the first quadrant enclosed by the graph of #y= 2-(x^2)# and the coordinate axes. If every cross section of the solid perpendicular to the y-axis is a square, how do you find the volume of the solid?