More geometry crap?

Question

What is the coordinate of the image of the point (2, -4) reflected over the x-axis?

1. (-2, 4)
2. (2, 4)
3. (-2, -4)
4. (2, -4)

What is the slope of a line perpendicular to the line 2x + y = 6?

1. 2
2. -2
3. 1/2
4. -1/2

What is the midpoint of the segment whose endpoints are A(7, 3, -4) and B(-3, 1, 0)?

1. (5, 1, -2)
2. (2, 0, 2)
3. (2, 2, -2)
4. (-5, -1, -2)

Answer 1

Question 1: 2. (2, 4). When you reflect a point over the x-axis, the x-coordinate remains constant while the y-coordinate becomes its additive opposite.

Question 2: 3. 1/2. The given line can be written in slope-intercept form as y = -2x + 6, meaning it has slope of -2. Perpendicular lines have oppositive reciprocal slopes, and the opposite reciprocal of -2 is 1/2.

Question 3: 3. (2, 2, -2). You just need to take the arithmetic mean of the two corresponding values for each of the three coordinates. For example, the average of 7 and -3 is 2, making this the value of the first coordinate.

Answer 2

What is the coordinate of the image of the point (2, -4) reflected over the x-axis?
2. (2, 4)
WHY: Reflecting across the x-axis is like folding the graph in half along the X-Axis. If you did that, your point would move to (2, 4).


What is the slope of a line perpendicular to the line 2x + y = 6?
1/2.
WHY: First put it in slope-int. form.
2x + y = 6
Y= -2X+6
A Perpendicular Line Will Have A Slope That is The Negative Reciprocal.
The slope is -2. The reciprocal is -1/2. Multiply it by -1. (-1)(-1/2)= 1/2.


What is the midpoint of the segment whose endpoints are A(7, 3, -4) and B(-3, 1, 0)?
3. (2, 2, -2)

WHY: Add each point together and split it in half. 7+(-3)=4/2=2. 3+1=4/2=2. -4+0=-4/2=-2.



Hopee this helps [:

Answer 3

an image reflected over the x-axis maintains the same x value but takes the opposite y-value, here: (2, 4).

the slope of a line perpendicular to a different line is the negative reciprocal of the line, here:

y = -2x + 6 (slope is -2)
so the negative reciprocal is 1/2.

the midpoint of a line segment is the mean of the two comparable points, here:

(7-3)/2 = 2
(3+1)/2 = 2
(-4+0)/2 = -2.

therefore, (2, 2, -2).

Answer 4

image of (2,-4)ater reflection over x-axis is (2,4)

2x+y=6
y= -2x+6
slope of given line = -2

cordinates of mid point are({7+(-3)}/2,(3+1)/2, (-4+0)/2]
(4/2,4/2, -4/2)
(2,2,-2)

Answer 5

A = 2 hundred cm^2 Diameter = top. think of of the cylinder as to flat circles and a rectangle rolled up between them. we will call diameter "d" and the top "h". So, the portion of a circle = pi(radius)^2 factors of the rectangle may be the top, situations the circumference (endure in techniques, theat the width of the rectangle may be the circumference of the around bases. So, C (circumference) = pi(diameter) Now, the whole floor portion of 2 hundred is created from 2 circles and a rectangle. Sonce the top and diameter are the comparable, we will simplify it and confer with the two one in each and every of them as x. the portion of the circle could = pi(r)^2 we've the diameter, it is two times the scale of the radius, so we might want a million/2nd or a million/2 x. So, portion of a circle = pi(a million/2x)^2 = pi(a million/4)x = pi(x/4) in view that we've 2 cirlces: 2 (pi(x/4)) = pi(2x/4) = pi(x/2) portion of rectangle is circumference situations top(x) Circ. = pi(diameter) = pi(x) section = pi(x) situations x(the top) = pi(x^2) So, 2 hundred = the portion of the rectangle and the two circles: 2 hundred = pi(x^2) + pi(x/2) Divide pi on the two factors so as that: 2 hundred/pi = x^2 + x/2 i don't have a calculator, so which you would be certain the rest.

Answer 6

The answers are options

2
3
3

Answer 7

Q1 A4
Q2 A2
Q3 I have no idea