Answer:
The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same
The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line
Step-by-step explanation:
The given linear equations are;
3·x - 6·y = 9...(1)
x - 2·y = 3...(2)
The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs
Making 'y' the subject of both equations gives;
For equation (1);
3·x - 6·y = 9
3·x - 9 = 6·y
y = x/2 - 3/2
For equation (2);
x - 2·y = 3
x - 3 = 2·y
y = x/2 - 3/2
We observe that the two equations are the same and will have an infinite number of solutions
Answer:
4/9
Step-by-step explanation:
The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:
k = ∛(1.6/5.4) = 2/3
Then the scale factor for the areas will be the square of this scale factor:
ratio of surface area = (2/3)² = 4/9
_____
The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.
Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.
There should have more info than this...
I hope this helps you
5 <k-2
5+2 <k
7 <k
k-2 <11
k <11+2
k <13
7 <k <13
1. Living Things are Composed of Cells:
Single-cell organisms have everything they need to be "self-sufficient". In multicellular organisms, specialization increases until some cells do only certain things.
2. Different Levels of Organization:
Living things must be able to organize simple substances into complex ones.
Living things organize cells at several levels:
Tissue - a group of cells that perform a common function.
Organ - a group of tissues that perform a common function.
Organ system - a group of organs that perform a common function.
Organism - any complete living thing
3. Living Things Use Energy:
Living things take in energy and use it, for maintenance and growth.
4. Living Things Respond To Their Environment:
Living things will make changes in response to a stimulus in their environment. A behavior is a complex set of responses.
5. Living Things Grow:
Cell division - the orderly formation of new cells.
Cell enlargement - the increase in size of a cell. Cells grow to a certain size and then divide.
An organism gets larger as the number of its cells increases.
6. Living Things Reproduce:
Reproduction is not essential for the survival of individual organisms, but must occur for a species to survive.
All living things reproduce in one of the following ways:
Asexual reproduction - Producing offspring without the use of gametes.
Sexual reproduction - Producing offspring by the joining of sex cells.
7. Living Things Adapt To Their Environment:
Adaptations are traits giving an organism an advantage in a certain environment.
Variation of individuals is important for a healthy species.
