A point belongs to the x axis if its y coordinate equals zero.
The points on a graph are in the form
, so these points are on the x axis if and only if ![f(x)=0](https://tex.z-dn.net/?f=%20f%28x%29%3D0%20)
In this case, we have
![f(x) = 0 \iff x^2+14x+49=0](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%200%20%5Ciff%20x%5E2%2B14x%2B49%3D0%20)
You can observe that your expression is actually a squared binomial: using
![(a+b)^2 = a^2+2ab+b^2](https://tex.z-dn.net/?f=%20%28a%2Bb%29%5E2%20%3D%20a%5E2%2B2ab%2Bb%5E2%20)
you can notice that
![(x+7)^2 = x^2+14x+49](https://tex.z-dn.net/?f=%20%28x%2B7%29%5E2%20%3D%20x%5E2%2B14x%2B49%20)
So, you have
![x^2+14x+49=0 \iff (x-7)^2 = 0 \iff x=7](https://tex.z-dn.net/?f=%20x%5E2%2B14x%2B49%3D0%20%5Ciff%20%28x-7%29%5E2%20%3D%200%20%5Ciff%20x%3D7%20)
Now, how we decide if this function "touches" or "passes through" the x-axis at x=7? Well, since our function is a square, it is never negative. So, this graph can't cross the x-axis, but rater touch it from above. The parabola has a U shape, and the point of minimum lies on the x axis.
So, the graph touches the x axis at x=7.
The answer is the last option!
Answer:
AB = 10
Step-by-step explanation:
Use the distance formula: √(12 - 18)^2 + (1 - 9)^2
√36 + 64
10
Answer:
where is the cylinder
Step-by-step explanation: