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In the diagram below, \(\mathrm{PR}\) is a chord of the circle with centre \(\mathrm{O}\). Diameter ST is perpendicular to PR at M. \(P R=8 \mathrm{~cm}, M T=2 \mathrm{~cm}\) and \(O M=x \mathrm{~cm}\).

asked 2 hours ago in Mathematics by ♦Gauss Diamond (72,095 points) | 10 views

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The roots of a quadratic equation are given as \(x=\dfrac{-2 \pm \sqrt{1-3 k}}{4}\).

asked 2 hours ago in Mathematics by ♦Gauss Diamond (72,095 points) | 5 views

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How do you find the equation of a parabola given its vertex and focus?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 12 views

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How do you find the slope of a line given two points?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 11 views

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How do you factor a polynomial?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 12 views

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What is the Navier-Stokes equations?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 12 views

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What is a Green's theorem?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 8 views

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What is a Stokes' theorem?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 8 views

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What is the Pythagorean Theorem?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 11 views

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What is the equation of the parabola with vertex at $(3,-2)$ and directrix $y=-1$?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 8 views

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What is the slope of the line that passes through the points $(3,4)$ and $(6,8)$?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 12 views

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What is the Pythagorean theorem?

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 4 views

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Prove that any polynomial of degree n has at most n roots.

asked 2 days ago in Mathematics by ♦Gauss Diamond (72,095 points) | 5 views

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Show that \((x-1)\left(x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\right)=x^9-1\) without multiplying the terms out.

asked Jan 21 in Mathematics by ♦MathsGee Platinum (163,820 points) | 8 views

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Calculate: \(\quad \sum_{n=1}^{\infty} 2.10^{1-n} \quad\) (if it exists)

asked Jan 21 in Mathematics by ♦MathsGee Platinum (163,820 points) | 11 views

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Factor the polynomial: \(x^2 + 4x + 4\)

asked Jan 14 in Mathematics by ♦MathsGee Platinum (163,820 points) | 13 views

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Find the vertex of the parabola: \(y = x^2 - 4x + 3\)

asked Jan 14 in Mathematics by ♦MathsGee Platinum (163,820 points) | 18 views

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Use the completing the square method to rewrite the quadratic equation \(y = x^2 - 2x + 1\) in vertex form.

asked Jan 10 in Mathematics by ♦MathsGee Platinum (163,820 points) | 10 views

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Determine the vertex and axis of symmetry of the parabola represented by the quadratic equation \(y = -2x^2 + 4x + 3\)

asked Jan 10 in Mathematics by ♦MathsGee Platinum (163,820 points) | 14 views

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Determine the length of the hypotenuse of a right triangle with legs of length 3 and 4.

asked Jan 9 in Mathematics by ♦MathsGee Platinum (163,820 points) | 11 views

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Determine the equation of the line through the point $(1,2)$ with a slope of 3.

asked Jan 9 in Mathematics by ♦MathsGee Platinum (163,820 points) | 10 views

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Find the slope of the line through the points $(1,2)$ and $(3,4)$.

asked Jan 9 in Mathematics by ♦MathsGee Platinum (163,820 points) | 9 views

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Determine the equation of the tangent line to the curve $y = e^x$ at the point $(0,1)$

asked Jan 9 in Mathematics by ♦MathsGee Platinum (163,820 points) | 8 views

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Determine the equation of the tangent line to the curve $y = x^2 - 3x + 2$ at the point $(1,0)$.

asked Jan 9 in Mathematics by ♦MathsGee Platinum (163,820 points) | 12 views

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Factor the polynomial $x^3 - 4x^2 + x + 4$.

asked Jan 9 in Mathematics by ♦MathsGee Platinum (163,820 points) | 9 views

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Factor the polynomial $x^5 + x^4 - 4x^3 - 4x^2 + 4x + 4$.

asked Jan 2 in Mathematics by ♦MathsGee Platinum (163,820 points) | 27 views

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Factor the polynomial $x^3 - x^2 - 4x - 4$.

asked Jan 2 in Mathematics by ♦MathsGee Platinum (163,820 points) | 19 views

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Factor the polynomial $x^4 - 4x^2 + 4$.

asked Jan 2 in Mathematics by ♦MathsGee Platinum (163,820 points) | 23 views

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$x^3 + x^2 - 3x + 2 = 0$ solve for $x$

asked Jan 2 in Mathematics by Maths Genie SIlver Status (12,174 points) | 18 views

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Solve the cubic equation $x^3 - 2x^2 + 5x - 7 = 0$

asked Jan 2 in Mathematics by Maths Genie SIlver Status (12,174 points) | 19 views

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Solve for $x$ in $x^3 + 3x^2 - 2x - 5 = 0$

asked Jan 2 in Mathematics by Maths Genie SIlver Status (12,174 points) | 15 views

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Find the slope of the line that passes through the points (1, 5) and (3, 9).

asked Dec 8, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 51 views

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A mustache is created by taking the set of points \((x, y)\) in the \(x y\) coordinate plane that satisfy \(4+4 \cos (\pi x / 24) \leq y \leq 6+6 \cos (\pi x / 24)\) and \(-24 \leq x \leq 24\). What is the area of the mustache?

asked Dec 8, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 23 views

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Across the face of a rectangular post-it note, you idly draw lines that are parallel to its edges.

asked Dec 8, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 13 views

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If \(\mathrm{A}\) and \(\mathrm{B}\) are subset \(\mathrm{s}\) of \(\mathrm{X}=\{1,2,3,4,5\}\) then find the probability such that \(\mathrm{n}(\mathrm{A} \cap \mathrm{B})=2\).

asked Nov 29, 2022 in Mathematics by Maths Genie SIlver Status (12,174 points) | 30 views

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If \(\mathrm{p}(\mathrm{x})\) be a polynomial of degree three that has a local maximum value 8 at \(\mathrm{x}=1\) and a local minimum value 4 at \(\mathrm{x}=2\); then \(\mathrm{p}(0)\) is equal to

asked Nov 29, 2022 in Mathematics by Maths Genie SIlver Status (12,174 points) | 26 views

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Let \(\alpha\) and \(\beta\) be the roots of the equation, \(5 \mathrm{x}^2+6 \mathrm{x}-2=0\). If \(\mathrm{S}_{\mathrm{n}}=\alpha^{\mathrm{n}}+\beta^{\mathrm{n}}, \mathrm{n}=1,2,3, \ldots .\). , then :

asked Nov 29, 2022 in Mathematics by Maths Genie SIlver Status (12,174 points) | 28 views

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Let \(P(h, k)\) be a point on the curve \(y=x^2+7 x+2\), nearest to the line, \(y=3 x-3\). Then the equation of the normal to the curve at \(P\) is :

asked Nov 29, 2022 in Mathematics by Maths Genie SIlver Status (12,174 points) | 32 views

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Let \(\alpha>0, \beta>0\) be such that \(\alpha^3+\beta^2=4\). If the maximum value of the term independent of \(x\) in the binomial expansion of \(\left(\alpha x^{1 / 9}+\beta x^{-1 / 6}\right)^{10}\) is \(10 k\), then \(k\) is equal to :

asked Nov 29, 2022 in Mathematics by Maths Genie SIlver Status (12,174 points) | 17 views

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How is inverse probability weighting used for estimating the average causal effect?

asked Nov 28, 2022 in Data Science & Statistics by ♦MathsGee Platinum (163,820 points) | 36 views

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Prove the binomial theorem

asked Nov 27, 2022 in Data Science & Statistics by ♦MathsGee Platinum (163,820 points) | 37 views

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State And Prove Rolles Theorem With Diagram?

asked Nov 17, 2022 in Mathematics by wikki4deal (106 points) | 67 views

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Find the slope of the line having the equation \(y-7=2(x-3)\) and find a point on the line.

asked Nov 1, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 44 views

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Find a point-slope equation of the line going through the point \((1,3)\) with slope 5 .

asked Nov 1, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 42 views

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Write a point-slope equation of the line through the points \((1,2)\) and \((1,3)\).

asked Nov 1, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 45 views

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Find a point-slope equation of the line through the points \((1,3)\) and \((3,6)\).

asked Nov 1, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 65 views

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Find the slope of the line through the points \((-2,5)\) and \((7,1)\).

asked Nov 1, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 26 views

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Show that the circumcircles of the triangles \(F R T, D P U\) and \(E Q S\) have a single point in common.

asked Sep 23, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 64 views

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A function \(f\) is defined on the set \(\mathbb{N}\) and satisfies

asked Sep 23, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 42 views

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A function \(f: \mathbb{R} \rightarrow \mathbb{R}\) is bounded and satisfies

asked Sep 23, 2022 in Mathematics by ♦MathsGee Platinum (163,820 points) | 38 views

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Recent questions tagged theorem