Recent questions tagged line

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Find an equation for the plane that passes through \((6,0,-2)\) and contains the line \(x=4 - 2t, y=3+5t, z=7+4t\)
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How do you identify which lines are parallel?
66
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When dimension reducing data in $\mathbb{R}^D$ using PCA, the choice of embedding dimension is crucial. Many heuristics exist to estimate a good dimension. One is to choo...
91
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Find (a) all horizontal and (b) all vertical asymptotes of the graph\[y=\frac{|x| \sqrt{4 x^{4}+6 x^{2}+4}}{(2 x-1)^{2}(x+1)}\]
113
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Find the vertical and horizontal asymptotes of the graph of the function \( f(x)=\sqrt{x+1}-\sqrt{x} \).
158
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Find the vertical and horizontal asymptotes of the graph of the function \( f(x)=(2 x+3) / \sqrt{x^{2}-2 x-3} \).
128
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Find any vertical and horizontal asymptotes of the graph of the function \( f(x)=(4 x-5) /(3 x+2) \).
84
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Two variables are related by the equation \( 2 \ln x+\ln y=x-y \). What is the equation of the tangent line to the graph of this relation at the point \( (1,1) \) ?
169
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Is the angle between the tangent and the chord equal to the angle in the alternate segment?
125
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What is the slope of a straight line?
461
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how to find the gradient of a line
299
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On a graph, what is an y-coordinate?
528
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How do I find the slope of a straight line?
362
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What is the meaning of a solid yellow line in the center of the road?
281
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Number Line: Operations - PHET Simulations
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Number Line: Integers - PHET Simulation
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Given \(h(x)=-3^x-1\). Determine the coordinates of the y-intercept of \(h\).
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Without solving for \(x\), determine the nature of the roots of the following equation:\[x^2-4 x=-3\]
381
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Determine the values of \(m\) for which \(y=m x-1\) is a tangent to \(y=x^2-2 x+3\).
263
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How do you find the equation of a line given its point-slope form?
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How do you find the equation of a line given its slope and y-intercept?
301
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How do you find the slope of a line given two points?
463
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What is the formula for the slope of a line in point-slope form?
235
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What is the equation of the line that is parallel to the line $y = 2x+1$ and passes through the point $(3,5)$?
282
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What is the equation of the circle with center $(5,3)$ and radius 8?
405
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What is the slope of the line that passes through the points $(3,4)$ and $(6,8)$?
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How do you solve the equation $ax^2 + bx + c = 0$ using the quadratic formula?
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Using the Factor Theorem, factor the polynomial $x^3 + 6x^2 + 11x + 6$.
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The function \(f: x \rightarrow \log _a x\) passes through the point \((4 ;-2)\).(a) Determine the value of \(a\) and hence the equation of \(f\).(b) Write down the equat...
431
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What is the horizontal line test for functions?
426
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What is the vertical line test for functions?
251
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Find the slope of the line: \(y = 2x + 1\)
290
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Find the circumference of a circle with radius 4.
616
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Determine the equation of the line through the points $(1,2)$ and $(3,4)$ in the form $ax + by + c = 0$.
261
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Find the equation of the circle with center $(2,3)$ and radius 5.
278
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Determine the equation of the line through the point $(1,2)$ with a slope of 3.
334
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Find the slope of the line through the points $(1,2)$ and $(3,4)$.
430
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Find the distance between the points $(2,3)$ and $(5,6)$.
510
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A boat is sailing due north at a speed of 15 knots. The wind is blowing from the northeast at a speed of 10 knots. What is the resulting speed and direction of the boat?
255
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Factor the polynomial $x^2 + 5x + 6$.
675
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Find the slope of the line that passes through the points (1, 5) and (3, 9).
268
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In the \(x y\)-coordinate plane, the \(x\)-axis and the line \(y=x\) are mirrors. If you shoot a laser beam from the point \((126,21)\) toward a point on the positive \(x...
281
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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 ...
219
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What is the smallest positive integer \(m\) such that \(15 ! m\) can be expressed in more than one way as a product of 16 distinct positive integers, up to order?
252
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Across the face of a rectangular post-it note, you idly draw lines that are parallel to its edges. Each time you draw a line, there is a \(50 \%\) chance it'll be each di...
428
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How do you create a line plot in R?
276
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\[1(10,000)+2(1,000)+4(100)+3(10)+2(1)+5(1 / 10)+3(1 / 100)\]Which number below is one-tenth of the expanded form above?A \(12422.53\)B \(1243.253\)C \(12432.53\)D \(1243...
516
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Let \(\vec{a}, \vec{b}\) and \(\vec{c}\) be three unit vectors such that \(|\vec{a}-\vec{b}|^2+|\vec{a}-\vec{c}|^2=8\). Then \(|\vec{a}+2 \vec{b}|^2+|\vec{a}+2 \vec{c}|^2...
349
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If \(R=\left\{(x, y): x, y \in Z, x^2+3 y^2 \leq 8\right\}\) is a relation on the set of integers \(Z\), then the domain \(R^{-1}\) is :(1) \(\{-1,0,1\}\)(2) \(\{-2,-1,1,...
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The domain of the function \(f(x)=\sin ^{-1}\left(\frac{|x|+5}{x^2+1}\right)\) is \((-\infty,-a] \cup[a, \infty)\), Then a is equal to:(1) \(\frac{1+\sqrt{17}}{2}\)(2) \(...
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