QUESTION THREE (a) Find x and y given that GOG) = G) %3D (b) Determine x, y and z if (3,–1,2) = x(1,1,1) + y(1,-1,0) + z(1,0,0) QUESTION FOUR Given the equation of the the circle x + y² + 2x-4y - 20 = 0 Show that dy x +1 %3D dx 2-y 1 OUESTION FIVE

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

A: We have to find the focus of the given parabola. The solution is following.

Q: sketch the graph on xyz coordinate y=2 and 3x+2y+z=

A: We are asked to sketch the graph on xyz coordinate y=2 and 3x+2y+z=6

Q: f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5…

A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: the coordinates of the shadow point k (5,-4) which are translated by T=((-2)/(1)) and followed by…

A: The given point is:k=(5, -4)

Q: Assignment: A. Find the general equation of a circle whose center and radius gre:

A: A circle is a locus of points such that the distance from a fixed point is constant. The fixed point…

Q: 2x-y-5+2(x-2y-1)=0

A: Given : 2x-y-5+λx-2y-1=0 is the equation of the incident ray. 3x-y+4+μx-2y+3=0 is the equation of…

Q: 13. Suppose that YM has length 12 in. and its distance from point L is 5 in. Find the radius of oL…

A:

Q: transformations

A: We have  a triangle PQR where P(1,4),Q(3,-2),R(7,1) We have to take the reflection across the X-axis…

Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: With respect to the attached figure, height drawn from vertex B in triangle ABE has equation: a.…

A: a. 5x-3y+8=0b. 3x-5y-8=0c. x-5y+2=0d. 3x-5y+8=0e. 6x-y-16=0

Q: QUESTION 11 State the y-coordinate of the point on the parabola y2=2x that is closest to the point…

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Q: 4. 4x-5y z 10 6. 2r + 5y < 5 8. 3x-7y 58 10. 9x + y S-13

A:

Q: The center of the ellipse with the given equation 4(x – 5)² + 3(y – 4)2 = 48 is %3D (-5, 4) (4, 5) O…

A: Solving the problem by finding the centre in standard form.

Q: GeoGebrä Task 1: This rectangle has been decomposed along its diagonal. Recompose the two pieces to…

A: A rectangle is a closed quadrilateral with four sides and four angles. All the four angles of the…

Q: (5,4) faw (4,2) +++ Figure 4 axes provided below. Label at least six points axes provided below.…

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Q: What is the image equation of y=3x-1 under the reflection in the line X+у-0? O x+ 3y - 1 = 0 Ох-Зу +…

A: NOTE: Refresh your page if you can't see any equations. . the reference line is  or we can write

Q: What is the vertex of h(x)= 2x² -4x + 1? O A. (-2, 1) О В.(-0.25, 1) C. (1, -1) O D. (0.5, 0.25)

A: According to the given information, it is required to determine the vertex of h(x).

Q: The equation of the line touching both the parabolas y = 4x and x' =-32y is x-2y+1 = 0, then a is

A: Introduction :

Q: Find the vertex of the Quadratic y = – + O The correct answer isn't listed ㅇ (금, 13 100 5 107) 4' 32…

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Q: 1. The three points A = (-2, -4), B= (6,2) and C = (-3,3) are taken as the vertices of a triangle T.…

A: Given that: A=(-2, -4), B=(6, 2), C=(-3, 3)

Q: The general equation for a circle is a(x + y)+ bx + cy+d = 0. There is exactly one circle passing…

A:

Q: D 5. Evaluate S ( 1 + sinx)² cosx dx 6. find the area of the region bounded above by y=x+6 bounded…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: If a circle passes through the point (0, 0), (a, 0) and (0, b), then find its center. Prove that for…

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Q: Describe the graph of the equation 16 + 9y - 64x – 54y +1=0

A: Given, 16x2+9y2-64x-54y+1=0