In a certain​ city, the road system is set up like a Cartesian plane​ (x-y grid).   Point B is12 blocks east and 18 blocks north from point A. Point C is 18 blocks west and 3 blocks south from point A. If point A is the origin point​ (0,0), find the ordered pairs for point B and point C. Then use the distance formula to find the distance between the points.

Q: Use the Pythagorean's theorem to find the distance, to the nearest tenth, between F(6,5) and…

A: Let’s plot the points F(6,5) and G(-2,3) on graph Form a right angle triangle with hypotenuse…

Q: Find equations for the altitudes of the triangle with vertices A(-3, 2), B(5, 4), and C(3, -8), and…

A: Given,           Altitudes of the triangle with vertices A(-3,2), B(5,4) and C(3,-8)

Q: a) Find the distance between the point P (9, 1) and the line 3x+4y 6.

A: As per our guidelines we are supposed to solve only one question i.e. the question no (a). For the…

Q: Find the distance between the given pair of points: -5 and 17

A: Solve for the distance between the points

Q: Let a point a = (2, 4, 5). %3D Find the distance from this point to the z-axis.

A: Use distance formula between two points

Q: Let a point a = (2, 4, 5). b) Find the distance from this point to the z-axis.

A:

Q: Find all points having a y-coordinate of - 6 whose distancefrom the point (1, 2) is 17.(a) By using…

A: a. Using Pythagorean theorem. The converse of the Pythagorean Theorem states that the sum of the…

Q: In the problem we use distance formula. Show that the points A(-2,9), B(4,6), C(1,0), and D-5,3) are…

A: The distance formula for any two points (x1, y1) and (x2, y2) is given by x2-x12+y2-y12units We use…

Q: Find the distance between the points (distance formula) 5.(2a+c, 2d), (2b-c, 2c) 1.(3, 2), (4, -3)

A:

Q: Use the distance formula to find the distance between the points (−1, −2) and (−2, −9).

A: Note that, the distance formula is

Q: Find all points having an x-coordinate of 3 whose distancefrom the point (- 2, - 1) is 13.(a) By…

A: We have to  find all the points is of the form (3,a) whose distance from the point (-2,-1) is 13 by…

Q: 4. 3 2. 54 3-2 -1 1 2 4. -2 -3 -4 -5 -61 3.

A:

Q: In the Cartesian plane below, rectangle MNQR is shown. y (cm) N(12,29) M P >x (cm) R • An ant starts…

A:

Q: Find the distance d between the following pair of points. (-1, –3), (-9, 6) d =

A:

Q: An airplane is approaching Los Angeles International Airport at an altitude of 2,640 feet. If the…

A:

Q: Use the parallelogram to the right to find the measure of ZA. The measure of ZA is

A: we will use parallelogram law .

Q: find the distance d between the points P1 and P2, P1 = (a, b); P2 = (0, 0)

A: we have to find the distance d between the points P1 and P2 where P1=a,b and P2=0,0

Q: Find the value of x that makes the quadrilateral a parallelogram. 2x + 3 x + 7

A: I have given an answer in step 2.

Q: Three line segments AC, AB and BD shown in the figure have the lengths of 2, 3 and 5, respectively.…

A: Given: Three line segments AC, AB, and BD showed in the figure have the lengths of 2, 3, and 5,…

Q: find all points on the y-axis that are a distance of 6 from the point (3,-1)

A: Let the point is (0,y).

Q: 3. Prove whether or not this quadrilateral is a parallelogram. Show your calculations for the slope…

A:

Q: Find the distance between each pair of points.   L(10,14), M(-8,14)

A:

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 3) is the midpoint of…

A:

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A: Let A and B are two endpoints of the segment AB. The coordinate of midpoint M is given by the…

Q: R RSTU is a parallelogram. If M2TSV = 31° and M²SVT = 126°, explain how you can find the measure of…

A: Given data: *The angle TSV is m∠TSV=31° *The angle SVT is m∠SVT=126° The diagram below represents…

Q: Use the distance formula, slopes and your knowledge of characteristics of different types of…

A:

Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: Here we have to find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0…

Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

A:

Q: Find the midpoint of the segment GH given: G(7, -5) and H(9, -1).

A: Given data: The first point given is G(x1, y1)=(7, -5). The second point given is H(x2, y2)=(9, -1).…

Q: Find all points having a y-coordinate of -6 whose distance from the point(1,2) is 17. (a) By using…

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: Use the distance formula to find the distance between the two points: (7,3) and (15,3)

A:

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A:

Q: Every parallelogram has both a height and a slant height. O True

A: Every parallelogram has both a height and a slant height.

Q: In the problem we use the distance formula. Show that the triangle with vertices A(0,2), B(-3,-1),…

A: We have to show that the triangle with vertices A(0,2), B(-3,-1), and C(-4,3) is isosceles.

Q: The formula for the distance between two points is:

A:

Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

A:

Q: Use the distance formula, slopes and your knowledge of characteristics of different types of…

A:

Q: Find the distance between each of the pairs of points.(a) (-1, 5) and (1, -2)(b) (5, 0) and (2, 7)

A: Find the distance between each of the pairs of points.(a) (-1, 5) and (1, -2)(b) (5, 0) and (2, 7)

Q: Find the distance between the given pair of points: 1 and 7

A:

Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: Use the map shown below to find the distance between cities A and B to the nearest tenth. 10- 8- 6-…

A:

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(4, 1) is the midpoint of…

A: Given, Midpoint M(4,1) Coordinate of A (-1,-1). Given the line segment AB which has a midpoint M.…

Q: Find an equation of the perpendicular bisector of the segment AB with endpoints A(1, 2) and B(-3,…

A:

Q: In the following diagram, a square-based pyramid was positioned, so that both its vertex and…

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Q: 5. Use the slopes of the slanted sides of AABC to find the exact coordinates of the inscribed square…

A:

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 7) is the midpoint of…

A: mid point formula  x =(x1 +x2)/2 y =(y1 +y2)/2

Q: The points M, (3, 8), N(3, -1), O(9,-5), and P(9,4 form parallelogram MNOP. Plot the points on the…

A:

Q: find the distance between two given points 2. C(11,9) D (5,1)

A: Given points is C(11,9) D (5,1)

Q: d. (1,1/2), (1/2,-2) e. (2, -4), (0,7) f. (-2.5, -3.5), (6.5, -5.5)

A: We can find the distance using the distance formula as below.

Q: Polnt Q lies on ST , where point S is located at (2, -6) and point T is located at (5, 8). If SQ: QT…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.