(a) Find an equation of the plane passing through the points A(-8, -2, -1), B(1, 0, 1), and C(1, 2, 3). For the plane you found above, find its intercepts with the three coordinate axes. (Approximate your answers to 1 decimal place for each, if necessary) Make a sketch of the plane. 10 + z-axis

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: Where does the following equation intercept the z-axis? y=+5z-9 A. (0, 1.4) & (0, -6.4) B. (-1.4, 0)…

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Q: b0 = 12, b1 = 0, b2 = -5a. determine whether the plane slopes upward, slopes downward, or is…

A: a).Direction of the slope of a plane:If the sign of the partial slope is positive, the plane slopes…

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

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Q: Determine the equation of the plane containing the point and the line. (-7, 10,-3), r(t) = (1 − 4t,…

A:

Q: b0 = –2, b1 = 4, b2 = –7 a. determine whether the plane slopes upward, slopes downward, or is…

A:

Q: b0 = 0, b1 = 0, b2 = 3a. determine whether the plane slopes upward, slopes downward, or is…

A: (a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes…

Q: b0 = 12, b1 = 0, b22 = −5 a. determine whether the plane slopes upward, slopes downward, or is…

A: The given values are b0 is 12, b1 is 0 and b2 is –5.

Q: Find w, where w3 = 1 + i. i? = -1.

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Q: b0 = –3, b1 = 4, b2 = 6a. determine whether the plane slopes upward, slopes downward, or is…

A: It is given that the y-intercept and partial slopes of the plane are –3, 4, and 6 respectively.

Q: Find an equation for the plane that contains the line v = (-1,2,7) + t(3,2, 4) and is perpendicular…

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Q: b0 = 5, b1 = 2, b2 = 7a. determine whether the plane slopes upward, slopes downward, or is…

A: (a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes…

Q: b0 = 5, b1 = 2, b2 = 7 a. determine whether the plane slopes upward, slopes downward, or is…

A: a. The y-intercept and partial slopes of the plane are respectively b0=5, b1=2, b2=7. Direction of…

Q: b0 = 0, b1 = 0, b2 = 3 a. determine whether the plane slopes upward, slopes downward, or is…

A:

Q: Find the equation of the perpendicular bisector of th segment joining the points A(2, 3) and…

A:

Q: Using the following points, find the equation of the plane. Write the equation in standard form…

A: Given, P2p,3q,3Q6p,-3q,1Rp,4q,2 The equation of a plane passing through points P(x1, y1, z1), Q( x2,…

Q: b0 = 0, b1 = −0.05, b2 = 1.5 a. determine whether the plane slopes upward, slopes downward, or is…

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Q: q2-  91.2% of 1980 is: Select one: 18057.6 180576 180.576 1805.76 18.0576

A: We are asking to find 91.2% 0f 1980

Q: b0 = –3, b1 = 4, b2 = 6 a. determine whether the plane slopes upward, slopes downward, or is…

A:

Q: b0 = 0, b1 = -0.05, b2 = 1.5a. determine whether the plane slopes upward, slopes downward, or is…

A: a).Direction of the slope of a plane:If the sign of the partial slope is positive, the plane slopes…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.