1. Questions

geometry

1. Which of the following is the correct equation for the Pythagorean Theorem, where a and b are the side lengths and c is the length of the hypotenuse?
A. (a-b)^2=c^2
B. a^2-b^2=c^2
C. a^2+b^2=c^2 *******
D. (a+b)^2=c^2

2. Given the following information, can you find the coordinates of the unknown point? Explain.
Two points are 14 units apart. The first point is located at (0,7).
A. The unknown point is (12, 0). Substituting into the Pythagorean Theorem gives 14^2=a^2+7^2. Solving this for a gives a value of approximately 12.
B. The unknown point is (0, 21). Since the first point is located on the y-axis, the second point would be located 14 units away from it, also on the y-axis.
C. The unknown point cannot be found. Neither the distance formula nor the Pythagorean Theorem can be sued to work backwards from a distance to find the coordinates of a point. ******
D. The unknown point cannot be found. When substituting into the distance formula, there will be two unknowns, the x-coordinate and the y-coordinate of the unknown point.

3. Find the distance between the points (9,−7) and (5,−4).
A. 25
B. √7
C. 5 *******
D. √137

4. To find the distance between (17,3) and (17,−5), Marcia used the following equation. Is Marcia correct? Explain.
D = | 3 - (- 5) | = 8
A. Marcia is not correct. According to the distance formula, the distance should be
---------------------------------
√ (-17-17)^2+(3-(-5))^2=√8 (I hope you understand what I tried to do here) **********

B. Marcia is correct. Since the x-coordinates are the same, the distance between the points can be treated as if they are in one-dimension.
C. Marcia is not correct. Since the points are in two-dimensions, the distance formula must be used to find the distance.
D. Marcia is correct. For any pair of points, the distance between the points can be treated as if they are in one-dimension.

5. Which of the following is the correct formula for distance?
A. d=
--------------------
√ x2-x1)+(y2-y1), where d is the distance between points (x1,y1) and (x2,y2). *******
B. d=
--------------------
√ x2-x1)^2 +(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
C. d= (x2−x1)^2+(y2−y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
D. d=
--------------------
√ x2+x1)^2+(y2+y1)^2, where d is the distance between points (x1,y1) and (x2,y2).

If someone could check over these, maybe even just a couple of them, maybe even just one of them, it would be so greatly appreciated. I'm having a really tough time. Thank you so so much

  1. 👍 0
  2. 👎 0
  3. 👁 106
aidan

  1. 1. yes
    2. All you know is that the point is anywhere on a circle of radius 14 and center at (0,7). I would pick D
    3. Yes, 3, 4, 5 right triangle
    4. It is 8 units STRAIGHT DOWN (same x). She did it right
    5. NO ...... sqrt [ (x2-x1)^2 + (y2-y1)^2 ]

    1. 👍 1
    2. 👎 0
    👨‍🏫
    Damon

  2. Thank you so much Damon! The quick answers that the Jishka teachers constantly provide help so many students more then you would think and it is so greatly appreciated.

    1. 👍 0
    2. 👎 0
    aidan

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.

  2. MATH HELP PLEASE

    Semester A Unit 4 Lesson 5: Cool Crafts Portfolio Template Choose a room you would like to decorate: _My bedroom________________________________ Measure the length of one wall in inches: _ 12 feet: 144

  3. Pre Algebra

    Which special version of the Pythagorean Theorem can you use to find the length of any square's diagonal, d, using only the length of its side, s? plz tell me the equation!!!

  4. geometry

    1. Which of the following is the correct equation for the Pythagorean Theorem, where a and b are the side lengths and c is the length of the hypotenuse? A. (a-b)^2=c^2 B. a^2-b^2=c^2 C. a^2+b^2=c^2 ******* D. (a+b)^2=c^2 2. Given

  1. Math

    Which special version of the Pythagorean Theorem can you use to find the length of any square's diagonal, d, using only the length of its side, s? My answer: A special version of the Pythagorean Theorem I can use to find the

  2. math

    if anybody is in 8th grade and understand this project: Copy of Unit 4 SW Pythagorean Theorem and Its Converse help me I need answers/help

  3. Physics. Urgent help need!!

    A baseball player hits a triple and ends up on third base. The baseball "diamond" is a square, each side with length 24.2 m, with home plate and the three bases on the four corners. What is the magnitude of his displacement? * I'm

  4. College Algebra

    What is the Pythagorean Theorem.

  1. Math

    Which of the images above represent a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem. Figure A: Leg a= 9 units (length) Leg b= 36 units (bottom) Leg c= 64

  2. math ,correction

    Problem#1 Directions: Find the distance between each pair of points. (-3,0) and (4,0) My answer: d = 7 Problem #2 Directions:Use the Pythagorean theorem to determine the length of each line segment. Where appropriate, round to the

  3. Math

    We are doing a project with Pythagorean Theorem where we need to measure a wall and then make pennants that fit on the string. I did that, my wall is 50in, my pennants were cut from a 9 by 9 square. When I measured the diagonal,

  4. Math

    Is the Pythagorean theorem equation:- a^2 + b^2 = c^2?

You can view more similar questions or ask a new question.