scientifc notation
what is 2x10^4 in standard ?
20000
A triangle is reflected over x-axis. If one vertex was at (3,5) , what are the new coordinates after the reflection?
3,-5
A point (2,4) is dilated by a scale factor of 2 centered at the origin. What are the new coordinates?
4,8
solve for x:
3x + 7 = 22
x = 5
2x + 3y = 12
4x +6y = 24
Infinite solutions
what is 4x10^12 in standard form?
4,000,000,000,000
A square is rotated 90 degress clockwise around the origin. What happens to the point (4,-2) ?
-2,-4
Explain the difference between a dilation and a rigid motion
A dilation changes the size of a figure, while a rigid motion perserve the size and shape of a figure.
Write the eqaution of a line with a slope of 4 and a y- intercept of -2.
y = 4x - 2
y=2x+1
y=-x+7
2,5
What is 5.5 x 10^5 in standard form?
Describe whether a translation changes the size or shape of figure and explain why.
A translation does not change the size or shape of a figure it moves the distance between the points
A triangle is enlarged with a scale factor of 1/2. Does the image get bigger or smaller?
smaller
Find the slope of the line passing through (2,5) and (6,13)
m = 2
x +y=9
y=x+1
4,5
0.874 x 10^9 in standard form is?
A rectangle is translated 6 units right and 3 units down. What are the new coordinates of the point (1,7) ?
7,4
Describe what happens to the coordinates of a figure after a reflection over the y- axis.
The x-coordinate of each point changes its going, while the y-coordinate remains the same.
5( x - 2) = 3x + 8
x = 9
3x + 2y= 16
3x - y= 7
x=10/3, y=3
-0.9754 x 10^8 in standard form is what?
determine if a reflection and a rotation are examples of rigid motions. Explain your answer!
Yes, reflections and rotations are rigid motions because they change distance and a angle measure.
A figure is translated 4 units left and then reflected over the x-axis. Describe the combined transformation.
The figure is translated 4 units to the left and then reflected across the x-axis
y= -2x +1
m = -2
What does the solution to a system of equations represent on a graph?
The point of intersection of the graphs of the equation