5. How many points of intersection do the lines - 4x 2y 6 and y = 2x - 3 have? O O O O A) O B) 1 C) 2 = D) infinitely many

Q: 2. List two points on each object. Z-5 a) X-3 _Y+7 = = 1 -2 4 b) 2x - 5y + z = 10

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Q: Which function has a y-intercept of -2? O 3x + 2 a) fx) = 5х -1 3x + 2 O b) Ax)· 5x- 1 Oc) Ar) = 5x…

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Q: The geometric object in 3-space represented by the equation (x +y +z)^2 = 81 is O a. the line…

A: This is quadratic equation.  When this quadratic expression can be factored in two linear factors…

Q: 9. The points (1, 2), (5, A), (A, 7) lie on a straight line. Find all possible values for A.

A:

Q: 18. Find the points of intersection of the lines 4₁: R= 2i + 3j + 3k + t(i-2j + 5k) y +1 2 12: x + 3…

A: These two line not intersect

Q: 4. Determine the perimeter and area of the triangle whose vertices are at the origin and the x and…

A:

Q: Ax) = 2& + 2) -2 -1 1 2 y

A: Given, Exponential function f(x)=2(x+2)

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: % Edt & Create v e Share ... etermine if the lines are parallel, perpendicular, or neither. Oy= 5x-7…

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Q: 18. A) Complete the square for y = 2x² − 12x – 14 B) Determine the coordinates of the vertex. Is it…

A:

Q: 4. Which of the following is the intersection point of the system of equations a) 7x +eight y =…

A: Answer is mentioned below

Q: a) Show that the lines х — 3 у — 2 x + 1 у — 2 z - 5 аnd %D 2 Intersects and find the point of…

A: Given that:                        Equation of lines: x-3-1=y-2-3=z2…

Q: Q)Suppose that one line is parallel y=13x+ 13 and passes through (15,7). Where does that line cross…

A: Given :  y=13x+ 13  compare with y = mx + c slope m = 13

Q: 35. If the distance between the points A(-2,4) and B(x,-8) is 13, what are the possible values of x?…

A: distance AB =(-2-x)2 +(4-(-8))2 13 = (-2-x)2 +144 169 (-2-x)2 + 144 (-2-x)2  = 25 -2 -x =+ 5 -2 -x =…

Q: 3-Find the real length of the line AB if A(4 , 2 , -1) and B(1,3, -5). * O 5 cm O 5.5 cm 5.3 cm

A: Distance formula: The distance between two points (x1,y1,z1) and (x2,y2,z2) is:…

Q: Q5) If the line passing through the points A(1 – a, a – 2) and B(a + 3, a) is perpendicular to the…

A: Given the line through A (1-a,a-2) and B (a+3,a) is perpendicular to the line (x/2)+(y/5)=1. We need…

Q: The point of intersection of y = x² + 6 and x = 2 is ... A) (1,8) B) (2,8) C) (2, 10) D) (10, 2)

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Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

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Q: How many x-intercepts does the graph of y = : x² have? A) B) 1 C) 2 D) 3

A: We will solve the following.

Q: 3. Identify each as linear, quadratic or neither and provide an explanation for your choice. a) y =…

A:

Q: 5) Which linear function represents the graph given? A) x-3y 12 B) x+3y = 12 C) 3x+ y = 4 D) y= -4…

A: Graph of the linear function is given, we have to find its equation

Q: If the lines a₁x + b₁y+C₁ = 0 and a₂x + b₂y + C₂ = 0 cut the coordinate axes at concyclic points,…

A:

Q: 1. Given: (x - 5)² = -20(y + 7); what is the vertex? A) (-5, -7) O A OB O O D B) (-5, 7) C) (5, -7)…

A: Find the vertex of the given parabola

Q: 36. Given two points A(-2,4) and B(x,-8), what must be the value of x so that a line passing through…

A:

Q: 7. Find the foci and vertices x² 16 a. 9. b. 3y²+12x-124+1630

A: a) We compare the given equation with  so, h=0 , k=0 , a2=16 , so, a=4 b2=9 , so, b=3  Answer(a):…

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

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Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: 7. What are the x-intercepts? A. -4, -2,1, and 3 В. -3, -1,2, and 4 С. -4,-1,2, and 3 D. -3, -2,…

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Q: 38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are…

A:

Q: 13.) Which line is perpendicular to 3x + 2y = 6? a. 4x - 6y = 3 b. y = -3/2x + 4 c. 2x + 3y = 12…

A: Given: 3x+2y=6 To find the perpendicular line of the given line first, solve for y,…

Q: 4 3 D B C -5 -4 -3 -2 -1 -1 2 4 A -2 P -3 -4 -5 Consider the line segment PQ with endpoints P(-3,…

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Q: 2. Sketch the line = : (−2,−3) + t(3,4), and label 3

A: An equation of the formhas x-intercept a and y-intercept b.

Q: If point (k+1, k-3) belongs to line of equation 3x-2y+4=0, then value of k is ? a) -13

A: The equation of the line is 3x-2y+4=0  The point is (k+1,k-3)

Q: 4. a) Extend the line to find the y-intercept. A. в. C. 0. y-intercept: y-intercept: y-intercept: b)…

A: y-intercept=(0,3) line is y=3x+3