The z-intercept of the following plane is 7 = (-1,2,3) + s(-2,2,3)+t(−3,2,6), s,t € R.

Q: Find the intersection of the lines r(t)=⟨1−2t,13+6t,9+8t⟩r(t)=⟨1−2t,13+6t,9+8t⟩ and…

A: Points are:-

Q: S(x*+1)(x* + 5x)'dx 11.

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Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: The vertices of a rectangle are R(-5,-5), S(-1, -5), T(-1, 1) and U(-5, 1). After translation, R' is…

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Q: et L1 be the line that passes through (2, 1,0) in the direction of (1, -1,2) and L2 be the line that…

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Q: Determine the x-intercept(s) and y-intercept(s) of x = y² - 4y - 21. (-3,-21) (7,0) (-3,0) (7,-21)…

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Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: Find the point where the two lines +s and +t intersect, if it exists

A: We need to find point where lines intersect.

Q: Determine the y-intercept of the following equation. (x + 4)(x + 2) = y O (-4, 0) and (-2,0) O (4,…

A: Given equation, (x+4)(x+2) = y

Q: r₁(t) = (–4.5, 1, 1.5) + t (1, −4, 1) r₂(t) = (–12, −6.5, −1) + t (−4, 1, −2) Find the point of…

A: Given: To Find: To find the point of intersection, P, of the lines .

Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

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Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: Show that the points A(1,2) B (-1 , -16 ) and C (0 , -7 ) .Lie on the graph of the linear equation…

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Q: What are the points of inter section of y = 8 and f(x)

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Q: Which one of the following points does NOT lie on the line 5y + 8x - 4 = 0?

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Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

Q: A point R(3, k) lies on the straight line joining P(4, 10) and Q(1, -2). Find the value of k.

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Q: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

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Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

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Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: Find an equation of the line that passes through the point (5, 4) and is perpendicular to the line…

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Q: Find the point of intersection of the two lines l1 : 7 Intersection point:

A: Introduction: The point of intersection is the intersection of two lines or curves. A point is the…

Q: Find the distance the point P(0, 2, 8) is to the line through the two points Q(1,-1,4), and R(-1,-4,…

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Q: Graph the points A(3, 2), B ( − 2, 1), C (3, − 4), D( − 2, − 3), E ( − 3, 0), F (0, 2),G(0, 0).

A: To plot A(3,2) we will go 3 units on x axis and 2 units on y axis.  To plot B(-2,1) we will go -2…

Q: A billiards table is 8 feet by 4 feet, and has pockets in all four corners and in the middle of the…

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