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vodka [1.7K]
3 years ago
11

Please help! I don't know how to do this.

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

f(x) = x^2 - 3x + 1.

Step-by-step explanation:

If the roots of this polynomial are 1 and 2, the corresponding factors are (x - 1) and (x - 2).  Multiplying, we get

f(x) = (x - 1)(x - 2) = x^2 - 3x + 1

The polynomial of least degree with roots 1 and 2 is f(x) = x^2 - 3x + 1.

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no this isn't true d could = 1 and then -8+1 is still -7

Step-by-step explanation:

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3 0
3 years ago
From a point on the ground that is 120 feet from the base of a vertical tree, the angle of elevation to the top of the tree is 3
andriy [413]

Answer:

\boxed {\boxed {\sf 69.28 \ feet}}

Step-by-step explanation:

Assuming that the tree is perpendicular with the ground, we can use trigonometric ratios to find the height of the tree.

First, let's draw a diagram. From the point on the ground to the base, it is 120 feet and forms a 30 degree angle. We want to find the height of the tree, which is labeled h. (The diagram is attached and not to scale).

Next, recall the ratios.

  • sin(θ)= opposite/hypotenuse
  • cos(θ)= adjacent/hypotenuse
  • tan(θ)= opposite/adjacent

We see that the height is opposite the 30 degree angle and 120 is adjacent.

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  • adjacent=120

Since we are given opposite and adjacent, we must use tangent.

tan ({\theta)=\frac{opposite}{adjacent}

Substitute the values in.

tan(30)=\frac{h}{120}

We are solving for h, so we must isolate it. It is being divided by 120 and the inverse of division is multiplication. Multiply both sides by 120.

120*tan(30)=\frac{h}{120}*120

120*tan(30)=h

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69.2820323=h

Round to the hundredth place (2 decimal places). The 2 in the thousandth place tells us to leave the 8 in the hundredth place.

69.28 \approx h

The height of the tree is about <u>69.28 feet.</u>

5 0
3 years ago
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