The sum of the angles of a triangle is 180°. Find the three angles of a triangle if one angle is 20° greater than the smallest angle and the third angle is twice the smallest angle. (Section 1.5, Example 1)

Q: Find the distance between the two points. (-2, –7, 3), (4, –7, 1)

A: Given, ( -2,-7,3) , ( 4, -7,1) We have to find distance between these two points.

Q: Determine the equation of a quartic function that has zeros of-7,5, and point (2, 9).

A: Quartic function is a function of the form f(x) = ax4  + bx3  + cx2  + dx , where a is non zero,…

Q: Explain how to plot the point (3, -2, 1) in ℝ3.

A:

Q: What are the coordinates of the image Do.5 (3, 5) ? coordinates =

A:

Q: Find the area of the triangle whose vertices are  (2,3,1), (1,-1,2) (-1,2,3)

A:

Q: write the equation of the line that contains the indicated pair of points. Express final equations…

A: Given, 2, 1, 6, 5

Q: A line passes through the points (3, 5) and (2, 0).

A:

Q: Just need help with part 4, thank you!

A: 4) From the above parts, the estimated regression line is y=68+0.2x.

Q: Section 1 - Question 9 In the equation y = 2x, Y represents the perimeter of a square. What does x…

A: Use the property of square

Q: Find an equation for the land that passes through the points(-4,-1) abd (2,3)

A: Find the equation of line.

Q: Page 80 2. Passing through the point (-4, 7) and parallel to the equation | connecting the points…

A:

Q: Find the coordinates of the image of 8 8- -6 -2 2 4 6. 8. 10 -10 -2 -4 -6 -8 -10 A (8,-7) 69 4.

A: Given coordinate of J(8, 7), we have to find the reflection over x-axis

Q: True or False The point 11, 22 is on the line 2x + y = 4.

A: The equation of line 2x+y=4 & the point 11,22

Q: How can you say that the points (1,-5),(3,-2),(7,4) are collinear

A:

Q: How do you solve this and can you show me step by step?

A:

Q: A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6). When the triangle is…

A: Given  A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6).

Q: What is an equation of the line that passes through the points (3,4) and (4,6)? Put your answer in…

A: Given             two points P(3,4) and Q(4,6)  To find equation of line passing through these…

Q: Find the area of the rectangle whose vertices are the points with coordinates (5, 2), (5, -6), (0,…

A: Explanation: Given that,  Vertices are : (5, 2), (5, -6), (0, -6), and (0, 2).     Firstly we will…

Q: Find the equation of the straight line passing through two points (3, 9) and (4, 8). Does the point…

A: The equation of a straight line passing through two points (x_1,y_1) and (x_2,y_2) is…

Q: What is an equation of the line that passes through the points (−4,−5)and (−2,−6)? Put your answer…

A:

Q: What is an equation of the line that passes through the points (4, –7) and (-4, 5)? Put your answer…

A: Given points are 4,-7 and -4,5. We have to find the equation of the line that passes through the…

Q: three vertices of a rectangle are: (-2, -3), (-2, 5), (1, 5), what is the coordinate of the fourth…

A:

Q: Find the area of a triangle whose vertices are (2,1), (3,-4) and (6,-4).

A:

Q: 12. Vertex (5, 2), axis vertical and passes through (4, -2)

A:

Q: A tracking device that is installed in a mobile phone indicates that its user is located at a point…

A: Given,          A tracking device that is installed in a mobile phone indicates that its user is…

Q: Find the area of the triangle whose vertices are (-8, 4), (-6, 6) and (-3, 9)

A:

Q: Plot the points (0, 4, −5) , (4, 0, 5)  in the same three-dimensional coordinate system. (a)

A: Given we have given two points 0,4,-5 and 4,0,5

Q: write the equation of the line that contains the indicated pair of points. Express final equations…

A: Given points are: (3, 8) and (7, 2) We have to find the equation of the line passing through the…

Q: passes through the point (1, -2) and

A:

Q: What is an equation of the line that passes through the points (−3,3)and (−6,2)? Put your answer in…

A: Explanation of the answer is as follows

Q: Find the point on the line 5x + y = 7 that is closest to the point (−5, 3).

A:

Q: A line passes through the points (-3, 4), (7, -2), and (17, y). What is the value of y?

A:

Q: Example 5: Point B divides AC so that AB :BC = 5:2. If A has coordinates (2, -1) and B has…

A:

Q: Ax) = Ix- 9)2, %3D

A:

Q: The vertices of a rectangle are located at (1, 2), (5, 0), (2, -6) and (-2, -4). What is the area of…

A:

Q: What's the distance between the point (-9,2) and (-4,2)?

A: Given : point (-9,2) and (-4,2)

Q: Write the equation of the linear function whose graph passes through (5, 1) and (4, 3). (Section…

A: The given points are 5,1  and  4,3

Q: A tracking device that is installed in a mobile phone indicates that its user is located at a point…

A: We can find the answer as below

Q: Find the distance between the two points. (3, -5, 7), (3, -5, 6)

A: Using distance between 2 point formula.

Q: What is an equation of the line that passes through the points (8,2)and (−4,5)? Put your answer in…

A:

Q: Three vertices of a square are (7, 0), (7, 4), and (9, 2). What are the coordinates of the fourth…

A: In this question we have to find the fourth vertex of the square.

Q: The line passing through the points (- 2, 2) and (2, 2) is;

A:

Q: (-4, - 3), (8, 7). What is the area of a triangle whose vertices are and (8, - 3)?

A: The area of the triangle with the vertices at (x1,y1), (x2,y2) and (x3,y3) is given by the following…

Q: What is an equation of the line that passes through the points (4,4)(4,4) and (8,1)(8,1)? Put your…

A:

Q: Plot the points (5, −2, 2),  (5, −2, −2) in the same three-dimensional coordinate system.

A: Consider the points:   (5, −2, 2), (5, −2, −2)

Q: What is an equation of the line that passes through the points (2, -2) and(8,4)?

A: For points (x1,y1) and (x2,y2)Slope=y2-y1x2-x1 Therefore, slope, m=4--28-2=1

Q: Plot the points  (2, 1, 3) ,  (−1, 2, 1)  in the same three-dimensional coordinate system.

A: Plot the points  (2, 1, 3) ,  (−1, 2, 1)  in the same three-dimensional coordinate system.

Q: What is an equation of the line that passes through the points (0,2)(0,2)and (5,8)(5,8)?

A: Given: The points 0,2 and 5,8, To find: The equation of line which is passing through the given…

Q: The line passes through the point (-6, 7) and is parallelto the line 4x -y = 0

A: