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3 years ago

The polynomial below is perfect square trinomial of the form a^2 -2AB +B^2

Mathematics

1 answer:

guajiro [1.7K]3 years ago

5 0

Answer:

In order to get this perfect square trinomial, the factored form will be (a - b)^2

Step-by-step explanation:

We know this because it follows the rule of perfect squares in which the ends are both squares and the middle term is -2 times each term.

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Factoring GCF<br> c^4d^2+c^2d^3

mr Goodwill [35]

Answer:

$c^2d^2(c^2 + d)$

Step-by-step explanation:

The equation is $c^4d^2 + c^2d^3$ so we see that the highest number on both terms that we can factor out is 2. If we factor out $c^2d^2$ from both terms, we end up with $c^2d^2(c^2 + d)$ , making $c^2d^2$ the GCF of this expression.

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3 years ago

Which expressions are factors of the quadratic function represented by this graph?

spayn [35]

Answer:

C. $x$ and $(x-6)$

Step-by-step explanation:

The roots of the quadratic equation are $0$ and $6$.

Hence the equation is $(x-0)(x-6)=x(x-6)$

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2 years ago

Find the volume of the sphere. Radius is 1

natta225 [31]

Hi there!

$\large\boxed{V = 4/3\pi \text{ or } \approx 4.19 \text{ } units^{3}}$

Find the volume of a sphere using the following equation:

V = 4/3πr³

Substitute in the given radius:

V = 4/3π(1)³

V = 4/3π or ≈ 4.19 units³

3 0

2 years ago

Read 2 more answers

Select the correct answer. The radius of a nitrogen atom is 5. 6 × 10-11 meters, and the radius of a beryllium atom is 1. 12 × 1

Grace [21]

A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.

Given information-

The radius of a nitrogen atom is $5.6\times10^{-11}$ meters.

The radius of a beryllium atom is $1.12 \times10^{-10}$ meters

<h3>Negative exponents</h3>

A negative exponent means the number of the exponent divide by the number.

As the radius of the nitrogen atom is $5.6\times10^{-11}$ meters. Convert it in the power of negative exponent of 10.

Let the radius of the nitrogen is $r$ mm. Thus,

$r=5.6\times 10^{-11}\\
r=5.6\times 10^{-10-1}\\
r=5.6\times 10^{-10}\times10^{-1}\\
r=\dfrac{5.6\times 10^{-10}}{10} \\
r=0.56\times 10^{-10}$

Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is $0.56\times 10^{-10}$ meters and the radius of the beryllium atom is $1.12 \times10^{-10}$ . Thus the radius of beryllium atom is larger.