The distance between the point P(x₁, y₁, 2₁) to the plone with equation Ax+By+ (z+D=0 is equal to | Ax₂ + By₁ + C₂₁ +DI √√A²+ B² + (² Why? 11

Q: Given the quadratic equation y=x² + 4x-5 a. Write the equation in the form a(x + h)²+k b. Determine…

A: The given equation y=x2+4x-5. We have to write the equation into vertex form and find its…

Q: 2e-u²+2 +2 dydz. 1

A: We have to evaluate the integral ∫01∫1u2e-u2+2dydz

Q: Which equation has x-intercepts of (3, 0) and (7, 0)? O y = z + 10z + 21 O y = r- 10x + 21 O y = 12…

A: (3,0) and (7,0) satisfy the required equation

Q: Find the cartesian coordinates of the point  (4,3π/2) (√2, π/4) (-9,-π/6)

A: To find the Cartesian coordinates of the following points.

Q: 1.) y = 2x + 3

A: y = 2x + 3

Q: Q1. The points A (a, 3) and B (10, 6) lie on a circle. AB is a diameter of the circle and passes…

A:

Q: hich of the following values are solutions of y < 2x + 3? a. (0, 2) only b. (-1, 1) only c. (0,2)…

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Q: B. Solve the following equations for y. Answer two only. i.__8(2y-³) = (-¹)(V-2), 16 e√y = 1² In(y +…

A: We can solve for 'y' .

Q: A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at…

A: Let the equation of BC be 3x-4y+1=0      ....(1) and the equation of AB be 4x+y-1=0         ....(2)…

Q: 18+31 39 +(-13) The formula M = 2. can be used to find the midpoint of which pair of coordinates. 2.…

A: Given formula M = ((18+31)/2,(39+(-13))/2)

Q: (2x) (4x+18)

A:

Q: Consider the LP problem below: Max P= 12x + 10y Subject to: 4x+3y =0 Which point is the…

A: Given: To find - Intersection point of,

Q: The equation of OP is (x- 3)+ (y- 1)²=9. Without graphing, explain how you can determine whethen che…

A: Given equation of circle is, x-32+y-12=9

Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

A:

Q: 8. The roots of the equation of a quadratic function are x = 3 and x = 5. Find an equation for the…

A:

Q: 1. In each part, determine whether the equation is linear in. x2, and x3. a. x₂ + 5x₂ - √√2x₂ = 1 c.…

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Q: How many circles touch the x-axis and the y-axis and pass through the point (2,1)? Select one: a.…

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Q: In Problem,find the distance d( P1,P2) between the points P1and P2. P1 =(-1, 0); P2 =(2, 4)

A: Given: To find the distance d( P1,P2) between the points P1and P2. where P1 =(-1, 0); P2 =(2,…

Q: S = 1/2(a +b + c) for a (geometry, semi or half perimeter of a triangle)

A: We have to write the formula for area of triangle.

Q: Which equation of a line is perpendicular to y A y = -x-4 B y = 3x + 2 C y = = x +4 D y=-3x - 2 11…

A:

Q: Explain the steps to find x- and y- intercepts of an equation of the form Ax + By = C

A:

Q: 2) The distance between two points with coordinates (x₁, y₁) and (x2, y2) is equal to √(x₂-x₂)² +…

A:

Q: If F is the point (- 3, 5) and G is the point (0. - 4), then an equation of FG is: a. y = - x + 4 b.…

A: F is the point (-3,5) and G is the point (0,-4)

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

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Q: How do you compute |PQ| from the coordinates of the points P and Q?

A: Suppose the coordinates of P and Q  are given as, a,b and c,d. Then to compute PQ⇀,   PQ⇀=c-a2+d-b2…

Q: 4. Solve (D² -3D+2)y=2x²eªx +5e³x.

A:

Q: Need help with the x-intercepts. The answer is not " either,        ⇒ x=7+2i       or       ⇒ x=7−2i…

A: To find the x-intercepts

Q: distance between (0, 0) and (½a, ½a√3)

A: