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6. Write an equation for the line with slope 3 and passing through (8,-2). a. b. with slope 5 and y-intercept-3. into (1) 3) and (42)

6. Write an equation for the line with slope 3 and passing through (8,-2). a. b. with slope 5 and y-intercept-3. into (1) 3) and (42)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. Write an equation for the line a. with slope 3 and passing through (8,-2). b. with slope 5 and y-intercept -3. 7. Write an equation in standard form of the line through points (4, -3) and (4,2). 8. The vertices of an isosceles triangle are C(0, 3), O(4, 7), and T(6, 1). Write an equation of the line containing the median to the base. 9. Write an equation of a circle with center at (6, 7) and a radius of 3 cm. 10. Find the center and radius of the circle with the given equations. a. x² + y² = 48 b. 3x²+3y² =21 c. (x+10)²+(y - 3)² = 4 vertices Use
Transcribed Image Text:6. Write an equation for the line a. with slope 3 and passing through (8,-2). b. with slope 5 and y-intercept -3. 7. Write an equation in standard form of the line through points (4, -3) and (4,2). 8. The vertices of an isosceles triangle are C(0, 3), O(4, 7), and T(6, 1). Write an equation of the line containing the median to the base. 9. Write an equation of a circle with center at (6, 7) and a radius of 3 cm. 10. Find the center and radius of the circle with the given equations. a. x² + y² = 48 b. 3x²+3y² =21 c. (x+10)²+(y - 3)² = 4 vertices Use
1. Find PT given the coordinates of P and T. a. P(-3, 2), T(4,4) b. P(5, 7), T(-2,-2) 2. A triangle has vertices C(0, 7), U(5, -6), and T(10, 7). Find the length of the altitude to the shortest side. 3. For quadrilateral TEAR with T(0, 0), E(8, 0), A(10, 5), and R(2, 5): a. Find the coordinates of the midpoint of TE b. Find the coordinates of the midpoint of ER 4. Given ASIM If the coordinates of S, I, and M are S(5, 3), I(0, 8), and M(2, 2), find the product of the slopes of SM and IM. a. b. If the coordinates of S, I, and M are S(6, 5), I(-1, 8), and M(4, 3), find the product of the slopes of SM and IM.
Transcribed Image Text:1. Find PT given the coordinates of P and T. a. P(-3, 2), T(4,4) b. P(5, 7), T(-2,-2) 2. A triangle has vertices C(0, 7), U(5, -6), and T(10, 7). Find the length of the altitude to the shortest side. 3. For quadrilateral TEAR with T(0, 0), E(8, 0), A(10, 5), and R(2, 5): a. Find the coordinates of the midpoint of TE b. Find the coordinates of the midpoint of ER 4. Given ASIM If the coordinates of S, I, and M are S(5, 3), I(0, 8), and M(2, 2), find the product of the slopes of SM and IM. a. b. If the coordinates of S, I, and M are S(6, 5), I(-1, 8), and M(4, 3), find the product of the slopes of SM and IM.
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