Answer:
B.
Step-by-step explanation:
Although the numbers given are negative, we can see that by the lines surrounding them, it is asking for their absolute value. Since absolute values are always positive, the correct answer would be B.
Answer:
2³ · 3³
Step-by-step explanation:
= (6³/2³) · (2⁶)/(2³)
= 3³ · 2⁶⁻³
= 3³ · 2³
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Answer:
7 in
Step-by-step explanation:
volume of a rectangular prism = width x height x length
width x length = area of the base
the sea shell box
200 = width x length x 5
width x length = 200/5 = 40cm^2
rock box
280 = 40in^2 x height
height = 280/40 = 7 in
Answer:
x = 9
Step-by-step explanation:
1) Subsitute! You have to replace y with 2x - 2 in 3x -y = 7, b/c they already gave you the equation for y (in the second part: y = 2x - 2)
So, your equation would look like this : 3x - (2x - 2) = 7
3) Solve suing PEMDAS!
There's a negative outside the parenthesis of 2x -2 -> - (2x-2). Multiply the negative individually inside the parenthesis so you will get (-2x + 2)
3x - 2x - 2 = 7 subtract the same variable; x
1x - 2 = 7 you don't need to put 1 to x, only if you want!
+ 2 + 2 add 2 on both sides
x = 9
