Answer:
12, 14 are two consecutive positive even numbers
Step-by-step explanation:
Let x, x+2 are two consecutive positive even numbers
According to given Condition
![x^{2} + (x+2)^{2} = 340](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20%28x%2B2%29%5E%7B2%7D%20%3D%20340)
![x^{2} +x^{2} + 4 + 4x = 340](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bx%5E%7B2%7D%20%20%2B%204%20%2B%204x%20%3D%20340)
![2x^{2} + 4 + 4x - 340 = 0](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%20%2B%204%20%2B%204x%20-%20340%20%3D%200)
![2x^{2} + 4x - 336 = 0](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B%204x%20-%20336%20%3D%200)
![2x^{2} +28x -24x - 336 = 0](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B28x%20-24x%20-%20336%20%3D%200)
![(2x^{2} +28x) -(24x + 336) = 0](https://tex.z-dn.net/?f=%282x%5E%7B2%7D%20%2B28x%29%20-%2824x%20%2B%20336%29%20%3D%200)
![2x(x} +14) - 24(x + 14) = 0](https://tex.z-dn.net/?f=2x%28x%7D%20%2B14%29%20-%2024%28x%20%2B%2014%29%20%3D%200)
![(2x -24) (x + 14) = 0](https://tex.z-dn.net/?f=%282x%20-24%29%20%28x%20%2B%2014%29%20%3D%200)
or ![x+14 = 0](https://tex.z-dn.net/?f=x%2B14%20%3D%200)
or ![x = -14](https://tex.z-dn.net/?f=x%20%3D%20-14)
As Number is positive so x = 12
x+ 2= 14
12, 14 are two consecutive positive even numbers
21 and 22 are two consecutive numbers whose squares, when subtracted, equals 43.
<span>She jogged a total of 6 miles in 55 minutes.So, her average rate was 6 miles/55 minutes. </span>6 miles / 55 min * 60 min/hr = 360/55 = 72/11 miles/hr = about 6.54 mph<span>.
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Answer:
12% is bigger
Step-by-step explanation:
if you were to translate it into a decimal, it would be .12 for 12%
and 0.5% is 0.005
<span>if (x+5) is a factor,it means (x+5)=0,
if you plug x= - 5 into the main function you must get a zero.
Hence,
f(-5) = 0 must be true.</span>