ANSWER
The solution is
<u>EXPLANATION</u>
We have
and
Let us substitute equation (1) in to equation (2). This gives us,
We rewrite this as a quadratic equation as the highest degree is 2.
This implies that
we factor to obtain,
This means,
We substitute this values into any of the above equations, preferably equation (1)
When, ,
When, ,
The solution is
Answer:
box on top = 15
box on the bottom = 16
The fractions are <u>not</u> the same
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Explanation:
We multiply the 3 by 5 to get 3*15 = 15
We also multiply the 8 by 2 to get 8*2 = 16
So this is what you could have as your steps
The fractions 3/8 and 15/16 are not the same. We can use a calculator to get these decimal values
3/8 = 0.3750
15/16 = 0.9375
We see that 15/16 is much bigger than 3/8.
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Here's another way to show they aren't the same. For now assume they are equal. We'll show a contradiction happens later.
3/8 = 15/16
3*16 = 8*15
48 = 120
We end up with a contradiction since we get differing values on either side. The false equation at the end means the original equation is false too.
Answer:
Step-by-step explanation:
The slope-intercept equation takes the form
Where m is the gradient, and c is the y-intercept.
If we assume we are plotting a graph where the X axis is time, and the y axis is distance, and we know our time value starts at 40, then we can say that our y intercept value is 40.
Next, let's figure out how far she has travelled. 130-40 = 90, and she has travelled this distance in 30 seconds, so dividing 90 by 30, we know that she is travelling 3 feet a second. This leaves us with a gradient of 3.
Putting these two values together, we can find the final form of the equation to be: