a storage container is a rectangular prism that is 65 centimeters long and 40 centimeters wide . the volume of the container is
2 answers:
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Parallel lines have the same slope
The equation of the line is:
The equation is given as:
The slope intercept form of an equation is:
Where:
By comparison,
The line is said to be parallel to .
This means that the line has a slope of
The equation of the line is then calculated as:
Where:
So, we have:
Substitute values for m, x1 and y1
Open brackets
Hence, the equation of the line is:
See attachment for the graphs of and
Read more about equations of parallel lines at:
Answer:
The second function represents an even function;
Step-by-step explanation:
A function f(x) is said to be even if f(x) = f(-x). All we need to do is replace x with -x in each equation, simplify it and assess whether the equation remains unchanged. If the equation is identical to the original one then it is said to be even. Another good example of an even function is the cosine function. Moreover, even functions have y-axis symmetry
Answer:
Step-by-step explanation:
If the ratio of dogs to cats is 49:28, as an actual ratio (fraction), this is
We can reduce that to make the numbers smaller without changing the ratio. reducing gives us
We will use that ratio now to set up a proportion that involves a given number of cats and an unknown number of dogs. Keeping dogs on top and cats on bottom,
Cross multiply to get
4x = 140 so
x = 35
According to the ratio of dogs to cats, if there are 20 cats, there will be 35 dogs.