Answer:
the figure on the top left
Step-by-step explanation:
Hey There!
If figure a was going to be dilated by a scale factor of 3 you would have to multiply all of its dimensions by 3
the top length would be 6
the bottom length would be 9
the right side length would be 12
and the left side length would be 9
The first figure has all of these dimensions thus it is correct answer
If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
Answer:
Step-by-step explanation:
A)
<u>Each edge of the greater cube has:</u>
- 1 : 1/6 = 6 times the small cube
<u>Number of small cubes:</u>
B)
The volume of the bigger cube is 1 in³
<u>The volume of each small cube is:</u>
Answer:
y = 3z - 2x
Step-by-step explanation:
Systems of equations can be solved by a number of know techniques, such as substitution, elimination or graphical approach.
We are required to solve the system of equations given via substitution;
2x + y = 3z
x + y = 6z
The question requires us to determine the value for y from the first equation, that could be substituted into the second equation.
We simply need to make y the subject of the formula from the first equation;
2x + y = 3z
To do this we subtract 2x on both sides of the equation;
2x + y -2x = 3z - 2x
y = 3z - 2x
This is the value of y from the first equation, that can be substituted into the second equation.
Answer: 6 pieces
Step-by-step explanation:
3/5= 6/10
