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Nata [24]
2 years ago
7

Amir says the graph of y= x2 + 16 has -4 as a zero. Is Amir correct? Explain.

Mathematics
2 answers:
sukhopar [10]2 years ago
8 0

Answer:

  • Amir is wrong

Step-by-step explanation:

The function y = x² + 16 is positive for any value of x, hence the graph has no intersection with the x-axis and therefore has no real zero's.

If no zero's, -4 also can't be its zero.

Art [367]2 years ago
3 0

Answer:

No

Step-by-step explanation:

It's law of equations .The number of zeros is also equal to the highest degree of the polynomial/equation.

  • y=x^2+16 has 3 zeros
  • 2 is for x and 1 is for y .

Hence 4 can't be a zero because it won't intercept the x axis.

Let's check

\\ \sf\longmapsto (-4)^2+16=16+16=32\neq 0

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The given information are the coordinates of points H, Z and B. So, the first step to do is to plot these points on a Cartesian plane as shown in the attached picture. We can deduce visually that horse Z is closer to the barns than horse H. But, to further justify the answer, we have to provide the magnitude of the distance of horses H and Z to barn B. In this approach, we use the distance formula:

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