4.
Point E is located at (–2, 2) and point F is located at (4, –6). What is the distance between points E and F? (1 point)
square root of fifty-two
square root of twenty-eight
10
square root of twenty
6.
In which quadrant is the point (x, y) located if x is negative and y is positive? (1 point)
II
III
IV
I
At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (–2, –5) and moved 3 steps up and 1 step right.
a. Write a rule to describe the translation.
b. What were the coordinates of the drummer's final position?
Can somebody help me please because I don't know how to solve these problems can you explain how?
dill
Sure, I can help you with these problems! Let's go through each question step by step.
4. To find the distance between points E and F, we can use the distance formula. The distance formula is:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point E are (-2, 2) and the coordinates of point F are (4, -6). Plugging these values into the distance formula, we get:
distance = sqrt((4 - (-2))^2 + (-6 - 2)^2)
= sqrt((6)^2 + (-8)^2)
= sqrt(36 + 64)
= sqrt(100)
= 10
So, the distance between points E and F is 10.
6. When x is negative and y is positive, the point is located in Quadrant II. Remember that Quadrant II is the top-left quadrant on a coordinate plane.
Now let's move on to the question about the halftime show and the marching band:
a. The rule to describe the translation is "3 steps up and 1 step right". This means that the drummer moves vertically 3 units up (positive direction) and horizontally 1 unit to the right (positive direction).
b. The starting position of the drummer is (-2, -5). Following the translation rule, the drummer moves up 3 units to -2 + 3 = 1, and moves right 1 unit to -5 + 1 = -4.
Therefore, the final position of the drummer is (1, -4).
I hope this helps you understand how to solve these problems! Let me know if you have any further questions.
Sorry but I did that same quiz, and since I signed the Honor Code I can't tell you.... : (
Good Luck!
Also, do you go to Connections Academy?