Question 2 A)Fill in the correct vocabulary.(3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. To solve the equation: 4x2=1004x2=100 you would use the inverse operation Response area to get the equation: x2=25x2=25 . You would then use the inverse operation Response area to get x = Response area because both values make the equation true when you substitute in for x in the original equation. multiplication-12.5square rootaddition54 and -4100square5 and -5divisionsubtraction Question 3 A)Put the correct steps in to solve the equation: x3−10=−2x3−10=−2(3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1 Step 2 Step 3 Take the cube root of both sidesDivide both sides by 3Subtract 10 from both sidesAdd 10 to both sidesAnswer is one rational solutionAnswer is two irrational solutionsThere is no solution Question 4 A) Find the distance between the points (-5, 2) and (-6, 10). You can use the distance formula, but it is not on the formula sheet and is hard to use. It is easier to plot it on the coordinate plane - Use the Desmos graphing calculator to plot the points, drop the right triangle, and use the Pythagorean Theorem. (1 point) Responses The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units The vertical distance is 1 and the horizontal distance is 8; answer approximately 8.1 units The vertical distance is 1 and the horizontal distance is 8; answer approximately 8.1 units The vertical distance is 11 and the horizontal distance is 12; answer approximately 16.3 units The vertical distance is 11 and the horizontal distance is 12; answer approximately 16.3 units The vertical distance is 12 and the horizontal distance is 11; answer approximately 16.3 units The vertical distance is 12 and the horizontal distance is 11; answer approximately 16.3 units Question 5 A) What potential strategies could you use to find the distance from the Bumper Cars to the roller Coaster? Check all that apply. (2 points) Responses Draw the diagonal; drop a right triangle to see the vertical distance of 9 and horizontal distance of 6; use the Pythagorean Theorem to solve for the diagonal distance; approximately 3.87 units Draw the diagonal; drop a right triangle to see the vertical distance of 9 and horizontal distance of 6; use the Pythagorean Theorem to solve for the diagonal distance; approximately 3.87 units Use the distance formula using the points (-5, 4) and (4, -2); approximately 10.8 units Use the distance formula using the points (-5, 4) and (4, -2); approximately 10.8 units Count the diagonal squares from the bumper cars to the roller coaster. Count the diagonal squares from the bumper cars to the roller coaster. Draw the diagonal; drop a right triangle to see the vertical distance of 6 and horizontal distance of 9; Add 6 + 9 = 15; 15 units Draw the diagonal; drop a right triangle to see the vertical distance of 6 and horizontal distance of 9; Add 6 + 9 = 15; 15 units Use the distance formula using the points (-5, 4) and (-2, 4); approximately 2.6 units Use the distance formula using the points (-5, 4) and (-2, 4); approximately 2.6 units Draw the diagonal; drop a right triangle to see the vertical distance of 6 and horizontal distance of 9; use the Pythagorean Theorem to solve for the diagonal distance; approximately 10.8 units Draw the diagonal; drop a right triangle to see the vertical distance of 6 and horizontal distance of 9; use the Pythagorean Theorem to solve for the diagonal distance; approximately 10.8 units Question 6 A) If it is 90 feet between bases, how far is it from home base to 2nd base? (1 point) Responses 902+902=c2902+902=c2 ; 19 ft 90 squared plus 90 squared is equal to c squared ; 19 ft 902+902=c2902+902=c2 ; 127.3 ft 90 squared plus 90 squared is equal to c squared ; 127.3 ft 902+b2=902902+b2=902 ; 127.3 ft 90 squared plus b squared is equal to 90 squared ; 127.3 ft 902+902=c2902+902=c2 ; 180 ft 90 squared plus 90 squared is equal to c squared ; 180 ft Question 7 A)(2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. A correct statement How far from the lighthouse to the ship? the distance from the coastguard to the ship must be the shortest distancethe distance from the coastguard to the ship must be the longest distance490 ftfrom the lighthouse to the coastguard must be the shortest distance20 yds300 yds24.5 ydsfrom the coastguard to the lighthouse must be the longest distance Question 8 A)If a right triangle has sides 5, 12, and 13 units, then a triangle with sides 10, 24, and 26 is also a right triangle.(1 point) Responses True, because multiples of a right triangle triple produces a similar right triangle with congruent angles. True, because multiples of a right triangle triple produces a similar right triangle with congruent angles. False, because doubling the sides of the triangle does not keep the angles congruent

False, because doubling the sides of the triangle does not keep the angles congruent.

Answer all the question

I apologize, let's go through each question and provide the responses.

Question 2:
A) Fill in the correct vocabulary.
- To solve the equation: 4x2=1004x2=100 you would use the inverse operation multiplication to get the equation: x2=25. You would then use the inverse operation square root to get x = 5 and -5 because both values make the equation true when you substitute in for x in the original equation.

Question 3:
A) Put the correct steps in to solve the equation: x3−10=−2
- Step 1: Add 10 to both sides
- Step 2: Divide both sides by 3
- Step 3: Take the cube root of both sides
- Answer is one rational solution

Question 4:
A) Find the distance between the points (-5, 2) and (-6, 10).
- The vertical distance is 8 and the horizontal distance is 1; answer approximately 8.1 units

Question 5:
A) What potential strategies could you use to find the distance from the Bumper Cars to the roller Coaster? Check all that apply.
- Draw the diagonal; drop a right triangle to see the vertical distance of 6 and horizontal distance of 9; use the Pythagorean Theorem to solve for the diagonal distance; approximately 10.8 units
- Use the distance formula using the points (-5, 4) and (4, -2); approximately 10.8 units

Question 6:
A) If it is 90 feet between bases, how far is it from home base to 2nd base?
- 90 squared plus 90 squared is equal to c squared; 127.3 ft

Question 7:
A)
- A correct statement is: How far from the lighthouse to the ship?
- 490 ft

Question 8:
A) If a right triangle has sides 5, 12, and 13 units, then a triangle with sides 10, 24, and 26 is also a right triangle.
- False, because doubling the sides of the triangle does not keep the angles congruent

I hope that helps! Let me know if you need further assistance.