Hello, this is a linear problem so we are working with y = mx + b
The problem tells us:
y = total cost
x = the megabytes of data that she used in a month
b = y-intercept, which is the initial value
The problem asks "Which part of the graph will represent the cost per megabyte of data used in each plan?"
It is asking for cost per megabyte... This is a rate. and m = slope = rate
So lets, reiterate.
y = total cost
x = the megabytes of data that she used in a month
b = y-intercept, which is the initial value
m = slope = rate = cost per megabyte of data used
Answer: The slopes of the two lines.
The first one is 2x-3y/2
The second one is 1/x+2
The third one is (2x-5y)/(2x+5y)
The fourth one is x^2/z^2
Answer: C
Step-by-step explanation:
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
Answer:
162.56 cm
Step-by-step explanation:
also you can use a conversion calculator for faster results too
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