?Music The frame of the music stand shown contains several triangles. Find the length of

State The Distance Formula for points represented by (x1, y1) and(x2, y2).

Namethe theorem that is used to determine the Distance Formula in the coordinate plane.

Ana says that to find the distance from A(-3, 2) to B(-7, 5), you must evaluate the expression \(\sqrt{[-7-(-3)]^{2}+(5-2)^{2}}\). Emily disagrees. She says that you must evaluate the expression \(\sqrt{[-3-(-7)]^{2}+(2-5)^{2}}\). Who is correct? Explain your answer. Equation Transcription: Text Transcription: sqrt [-7-(-3)]^2+(5-2)^2 sqrt [-3-(-7)]^2+(2-5)^2

Find the value of each expression. Sample: (-7 + 4)2 + [3 - (-6)]2 Solution: (-7 + 4)2 + [3 - (-6)]2 = (-3)2 + [3 + 6]2 = (-3)2 + 92 = 9 + 81 or 90 (6 + 2)2 + (-5 + 3)2

Find the value of each expression. Sample: (-7 + 4)2 + [3 - (-6)]2 Solution: (-7 + 4)2 + [3 - (-6)]2 = (-3)2 + [3 + 6]2 = (-3)2 + 92 = 9 + 81 or 90 [-2 + (-3)]2 + (2 + 3)2

Find the value of each expression. Sample: (-7 + 4)2 + [3 - (-6)]2 Solution: (-7 + 4)2 + [3 - (-6)]2 = (-3)2 + [3 + 6]2 = (-3)2 + 92 = 9 + 81 or 90 [-5 - (-6)]2 + (4 - 2)2

Find the distance between each pair of points. Round to the nearest tenth, if necessary. E(1, 2), F(3, 4)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. R(-6, 0), S(-2, 0)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. P(5, 6), Q(-3, 1)

Determine whether ?FGH with vertices F(-2, 1), G(1, 6), and H(4, 1)is isosceles.

HikingTamika and Mattheware going to hike from CedarCreek Cave to the Ford NatureCenter. Cedar Creek Cave is located 3 kilometers west of the ranger's station. The Ford NatureCenter is located 2 kilometers east and 4 kilometers north of the ranger's station. Example 3 a.Draw a diagram on a coordinate grid to represent this situation. b.What is the distance betweenCedar Creek Cave and FordNature Center?

Find the distance between each pair of points. Round to the nearest tenth, if necessary. A(5, 0), B(12, 0)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. M(2, 3), N(5, 7)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. D(-1,-2), E(-3,-4)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. X(-4, 0), Y(3, -3)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. P(-6,-4), Q(6, -8)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. T(6, 4), U(2, 2)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. B(0, 0), C(-5, 6)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. G(-6, 8), H(-6, -4)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. J(-3, -2), K(3, 1)

Find the distance between each pair of points. Round to the nearest tenth, if necessary. S(-6,-4), T(-3,-7)

Find the distance between A(-1, 5) and C(3, 5).

What is the distance between E(-3, -1) and F(4, -2)?

Is ?MNP with vertices M(1, 4), N(-3, -2), and P(4, -3) an isosceles triangle? Explain.

Determine whether ?RST with vertices R(1, 5), S(-1, -1), and T(5, 4) is scalene. Explain.

Triangle FGH has vertices F(2, 4), G(0, 2), and H(3, -1). Determine whether ?FGH is a right triangle. Explain.

Gardening At Memorial Flower Garden, the rose garden is located 25 yards west and 30 yards north of the gazebo. The herb garden is located 35 yards west and 15 yards south of the gazebo. a. Draw a diagram on a coordinate grid to represent this situation. b. How far is the herb garden from the rose garden? c. What is the distance from the rose garden to the gazebo?

Communication To set long-distance rates, telephone companies superimpose an imaginary coordinate plane over the United States. Each ordered pair on this coordinate plane represents the location of a telephone exchange. The phone company calculates the distances between the exchanges in miles to establish long-distance rates. Suppose two exchanges are located at (53, 187) and (129, 71). What is the distance between these exchanges to the nearest mile? The location units are in miles.

Critical Thinking In ?ABC, the coordinates of the vertices are A(2, 4), B(-3, 6), and C(-5, -2). To the nearest tenth, what is the measure of the median drawn from A to \(\overline{B C}\)? Include a drawing on a coordinate plane of the triangle and the median. Equation Transcription: Text Transcription: Overline BC

Music The frame of the music stand shown contains several triangles. Find the length of the hypotenuse of right triangle MSC if the length of one leg is 10 inches and the length of the other leg is 8.5 inches. Round to the nearest tenth, if necessary. (Lesson 6–6)

Which right triangle test for congruence can be used to prove that ?BCD ? ?FGH? (Lesson 6–5)

Identify the motion shown as a translation, reflection, or rotation. (Lesson 5–3)

Short Response Classify the angle shown as acute, obtuse,orright. (Lesson 3–2)

Multiple Choice The line graph shows the retail coffee sales in the United States from 1999 to 2002. Estimate how much more coffee was sold in 2002 than in 2001. (Statistics Review) a. $1,000,000 b. $10,000,000 c. $100,000,000 d. $1,000,000,000