Where m < 0 and b > 0, the graph of y = mx + b (along with the x and y axes) determines a triangular region in Quadrant I. Find an expression for the area of the triangle in terms of m and b.

Q: Find the area of the triangle which the line 2x – 3y + 6 = 0 forms with the coordinates axes. a.3…

A: First we find out x intercept and y intercept of given line and solve it.

Q: In the graph on the right, Square WXYZ has been dilated to obtain Square W'X'Y'Z. 10t 5 a) Find the…

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Q: In the figure, C is the right half of the circle ; x+²= a² where a>o. Find the 2 Value of provided…

A: The given question is from the topic of application of Derivatives

Q: (a) Find the angle through which the axes are to be turned so that the equation V3x+ y-4 = 0 may be…

A: As per bartleby guidelines we only give first question answers.

Q: ngent to the y axis and the center is

A: To determine the circle of equation tangent to y axis and center (5,8)

Q: I. Sketch and identify the graph of the following equations in R³ : 1. 9a2 + 4y2 = 36 %3D

A: The standard form of the ellipse is x2a2+y2b2=1. The given equation is 9x2+4y2=36.

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 7n/6 (х, у) 3D

A: Find the point x,y on the unit circle corresponds to t=7π6.

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 3π/2     (x, y)…

A: Given that

Q: Suppose (P, Q) is the point on the graph of y = Vx closest to (1, 0). What is the value of P+ Q?…

A: In this we have to find the closest distance and then sum up. So I'm providing hand written solution…

Q: 48 Find the equation in standard form for the circle whose diameter has an endpoint at (3, -4) and…

A: We are given diameter of the circle has an endpoint at (3, -4) and (0, 0) We know equation of the…

Q: Assuming the two triangles are similar, fınd the tower's height. 1 m 8 m 0.2 m

A: Given that ∆ABC ≈PQRthen by ration property of similarityABPQ = BCQR⇒AB1=80.2⇒AB = 802⇒AB=40 m…

Q: Graph the image of trapezoid CDEF after a reflection across the x-axis. 10 4 10 -8 -- -4 4 9. 01 F D…

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Q: The following diagram shows two similar triangles, ADOG~A CAT, each with altitudes drawn to their…

A: Given Data: Similar Triangle: △DOG~△CAT The ratio of sides DO and CA is, DOCA=OGAT Substitute the…

Q: The points of intersection of the graphs of xy = 20 and x² + y? = 41 are joined to form a rectangle.…

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Q: Graph the dilated image of Quadrilateral ABCD using a scale factor of ½ and center of dilation (1,…

A: We measure the distance between center to all points and scale by 2 to get the dilation…

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q? M…

A: Distance between two points (a,b),(c,d) is  sqrt((c-a)^2+(d-b)^2)

Q: ind the equation of the circle that circumscribes the triangle whose sides are formed by the lines…

A: Definition used -     For finding the center of the circumcircle, First, we have to find the…

Q: Given (x - 20)² + (y - 0.05)? = 81 %3D What is the center of circle? What is radius? r=

A: We have to find center and radius

Q: Identify the center and radius of the circle. x2 + y? – 4x + 10y – 7 = 0 %3D

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Q: In the graph on the right, Square WXYZ has been dilated to obtain Square W'X'Y'Z. 中 2 2 4 b) Find…

A: (b) The graph given in the problem represents square WXYZ and dilated image W'X'Y'Z'. From the…

Q: 3) Complete the square on the circle 2.a2 + 2y? + 44.x + 28y = 52 to write it in standard form. Then…

A: Standard form of circle is given by,  (x-h)² + (y-k)² = a² , where (h, k) is the center of the…

Q: M IC HA EL -10 10 15

A: It is asked to find the mid point of I and A

Q: 2. Sketch the graph of the cylinder given by 4x? + 9y² = 36.

A: Graph of the cylinder. You can assume that the the elliptical like shape is above the given figure…

Q: 35. Find the length of XZ in the circle. Y is the center point. YZ = 3, and m2XYZ-60 A. 3 7 B. C. 6…

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Q: IV. Plot the vertex and the endpoints of the latus rectum and sketch the graph of the following…

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Q: Drag the points to create a copy of the original figure with a scale factor of 3.

A: The figures can be changed using the transformation. There are 4 types of transformations. The…

Q: The area of the upper half of the circle whose equation is (x – 1)? + y? = 1 is given by

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Q: 7. The radius of the circle whose equation 2 + 6x +y – 6y – 7 = 0 is A) VF B) 49 C) 7

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 21/3 (х, у) %3

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Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t t = Р(х, у) %3

A: Given: r=1 unit We know that if θ is a parameter and r is radius of circle then point on circle is…

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. Р(х, у) -

A: Given:

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = -5T P(x,…

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Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. t= - t 6.

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Q: 1. Find the center and radius of the circle x² + y? + 2x – 4y = 4 by completing the square.

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Q: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

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Q: Find the point (x,y) on the unit circle that corresponds to the real number t. 4. t= n/2

A: Given: t=π2

Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

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Q: 10. The radius of the circle with equation x² +y² – 10x + 12y + 41 = 0 is A 5V2 B 3V5 с 25 D 4V5

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 71/4 (x, y) =

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Q: Find the centeroid of the shaded area * shown in fig Y R=4 R=4 4

A: Answer

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t 2 Р(х, у) %3

A: Given

Q: L K 8 3.6 J

A: We have given  a  circle  KL=8  So OK=OL=KL/2=8/2=4 Radius =JL=x Using Pythagoras theorem…

Q: z₁ and z₂ are the roots of 3z + 3z + b = 0. If O(C form an equilateral triangle, then find the value…

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Q: You are given rectangle ABCD on the grid shown and are told that the figure is to be dilated from…

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Q: D В e following right triangle. 26 X+4

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Q: 2. Find ffR(2r – y)dA, where R is the region in the first quadrant enclosed by the circle r² + y² =…

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Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. х) Р(х, у) %3

A: t= 5pi/3 so we look at the 5pi/3 on unit circle. For this the terminal point P(x,y) is (1/2 ,…

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. a. π/3 b. 5π/3

A: a). The coordinates on the unit circle can be derived using: x, y=cosA, sinA Here A is the angle.…

Q: Find the center and the radius of circle x² +y? 10x + 6y +30 =D0

A: