Answer:
k - 2e + 9 = 0
k - e - 4 = 0
Step-by-step explanation:
Given that Elena is currently e years old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.
So, k - 9 = 2(e - 9)
⇒ k - 2e + 9 = 0 .............. (1)
And, in four years, Elena will be as old as Katie is now.
So, k = e + 4
⇒ k - e - 4 = 0 ............... (2)
Therefore, the equations (1) and (2) matches the conditions. (Answer)
The value of y is positive 8
Ok so this can get tricky, it is basically just asking for you to perform many unit conversions. I'll try to simplify it for you here while still maintaining the explanation. If you have any questions about this process feel free to message me.
3 yards = ____ miles (conversion factor is 1760 because there are 1760 yards in a mile)
3/1760 = 0.017 miles,
Now we just need to convert seconds to hours.
1 second is how many mins, then how many mins in an hour?
360 seconds in an hour.
Ok now we just need to combine these two pieces of info,
0.017/360 = 4.72222 miles per hour. Thus 4.72 is the answer.
Answer:
No.
Step-by-step explanation:
Since we know the side lengths of the triangle, we can figure out whether or not this is a Pythagorean triple.
Pythagorean theorem: a^2 + b^2 = c^2
a and b are both smaller than c.
So,
8^2 = 64.
13^2 = 169.
15^2 = 225.
64 + 169 = 233.
233 is not equal to 225.
Therefore, this is not a right triangle.
165
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