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show that the line y=3x+1 is tangeny to the parabola y2 =12x
Here is a great activity to do with your students that will intrigue them. You will...
For the circles x2 + y2 = 9 and (x - 1)2 + (y + 1)2...
a) Let T be the plane 3x-y-2z=9. Find the shortest distance d from the point P0...
Determine the total surface area of a cone that has a circular base of radius 3...
Hello can you check if my solution is correct? given: Marable ball volume is 5 cm^3...
1. Note the important distinction that our geometric constructions (e.g., lines, rays, triangles, etc.) are sets...
Show that every rectangle admits a circumscribed circle, whose center is the intersection of the two...
what are the values of sine cosine and tangent for a 210 degree angle? Keep answer...
determine for which n the number of degrees in an interior angle of a regular n-gon...
Find, for 0 ≤ x ≤ π, the arc-length of the segment of the curve R(t)...
A conic section is given by the equation 57x^2+14√3 xy+43y^2-576=0, identity and sketch the conics.
Write an equation in slope-intercept form a line that is perpendicular to y = 3x-4 and...
The dodecahedron and icosahedron are dual to each other? True or False?
Suppose there's a triangle JKL with J' opposite of J, K' opposite of K', and L'...
Find homogeneous coordinates for the projective point at which the following two projective lines meet: x...
Angela Montery has a five-year car loan for a Jeep Wrangler at an annual interest rate...
A tetrahedron has five edges with length 2 and one edge of length x. Determine the...
If in triangle ABC and Triangle XYZ we have AB = XY, AC = XZ, but...
m angle ABD is 50° less than 3m angle DBC =
what role did the fifth postulate play in the development of non-Euclidean Geometry?
1.34.1. The area of parallelogram ABDC is double the area of either △ACB or △BCD.
For a regular hexagon, the length of the radius is 14 in. Find the length (in...
In an isosceles triangle ABC ,AB=BC,angle B=20 . M and N are on AB and BC...
A square has vertices (0, 2b), (b, 3b), and (2b, 2b). Find the fourth vertex.
define Quantitative Genetics
Corollary 6.1.10. In a Saccheri quadrilateral, the length of the summit is greater than the length...
It is the same distance from second base to first base, and from second base to...
A construction worker is building a brick wall using bricks that are 8in by 4in by...
Given: is parallel to m∠ABC = 70° m∠CED = 30° Prove: m∠BEC = 40° Statement Justification is...
Initial Post: Choose one of the following geometric problems and write out your strategy for how...
Show that addition of line segments is commutative up to congruence: Given segments AB, CD, then...
2. When the inscribed and circumscribed regular polygons of any common number of sides to a...
A student asks why triangles often appear in structures such as bridges, building frames, and trusses....
The structure of a two-factor study can be presented as a matrix, with one factor determining...
Consider the part of the paraboloid x = 4 − y ^2 − z ^2 that...
Your job is to paint lines in a long, straight parking lot. You determine the dividing...
Identify and sketch the curve 9x^2-4y^2-72x+8y+176=0 using the appropriate graph. Find the equations of the asymptotes.
How does proof by contradiction resemble direct proof?
Jelaskan empat (4) impak tamadun India di Asia Tenggara.
Prove that given △ABC and △A′B′C′, if we have AB ≡ A′B′ and BC≡B′C′,then B<B′ if...
Circle A with the equation (x+1)2 + (y‒4)2 = 20 was transformed to Circle B with...
In ▲XYZ, ∠X = 52° and ∠Y = 57°. One circle passes through Y, Z, and...
Circle A has a radius of 9 units. Point R lies 5 units away from A....
Two angles are complementary and the ratio of their measure is 7:2. What are the angle...
find the parametric equation of the line passing through the point (1,7,2), parallel to the plane...
Estimate the equilibrium price and quantity of the market whose demand and supply functions are pd...
Math: Probability (P) using a single die (1-6) in fractions. a. P(4) Is this 1/6? b....
Need to Show that for any triangle, the angle bisectors intersect. Then, show that the intersection...
Write a short statement arguing the truth value for the following claim. The alternate interior angle...
A conic section is given by the equation 4x2 + 10xy + 4y2 = 36. Use...
HW Question: When trying to reduce energy costs for a home, one strategy is to install...
A circular cone is 10 cm wide at the base and has a slant height of...
Suppose that the incircle of triangle ABC touches AB at Z, BC at X, and AC...
Whats the the difference between a regular tiling and a semiregular tiling.
Prove Lemma 1.1.6: For any two distinct lines ℓ1 and ℓ2 in a plane, either ℓ1||ℓ2...
Find the domain of the function f(x) = 2x-6 over (2x-6)square root x-1
Choose seven consecutive terms in any arithmetic sequence and check that the arithmetic average (the sum...
A semicircle is cut out of a rectangular paperboard measuring 32in long and 23in wide, as...
a rectangle has an area of 36in^2 what is the limit of the perimeter of the...
You run an electronic store and want to know how the quantity of TVs you sell...
If a connected 3-regular planar graph G has 18 vertices, then the number of faces of...
I.15: If G is a simple graph with at least two vertices, prove that G has...
In ⊿???, ∠? is a right angle. D is the midpoint of AC, F is the...
Let the conditions of the 360 theorem hold such that ray x, ray y and ray...
Let y=2−3x+∑n=2∞an x power n be the power series solution of the differential equation: y″+6xy′+6y=0 about...
Given a length of 1, construct a triangle using only a compass whose perimeter is a...
Show that among all quadrilaterals of a given perimeter the square has the largest area. How...
Makayla is using a book to sight the top of a waterfall. Her eye level is...
Write an equation of the perpendicular bisector of JK, where J = (−6, 3) and K...
Prove: If two angles of a triangle are not congruent, then the sides opposite those angles...
1.32.11. The angle included between the internal bisector of one base angle of a triangle and...
1) A room has 4 walls that require painting. If two of the walls have the...
Suppose two circles intersect at C and D. Prove that the radical axis of the two...
Using Euclid's Propositions (book 1, 1-3), solve the following: A) Construct a line segment whose length...
determine which of these cylinders has the largest surface area and show work a. a cylinder...
The sides of a triangle are 10, 12, and 20. What is the length of the...
Find the moment of inertia of a circular area of radius R relative to a diameter
The diagram shows a kite AFCE inside rhombus ABCD. Angle AFB = angle AED = 35degrees,...
Find the measurements of all interior and exterior angles of a regular decagon.
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