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3 years ago

What is the factored form of the expression 9x2 + 6x + 1?

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

Answer:

(3x + 1)²

Step-by-step explanation:

Given

9x² + 6x + 1 ← is a perfect square of the form

(ax + b)² = a²x² + 2abx + b²

Compare like terms to find a and b

a²x² = 9x² ⇒ a² = 9 ⇒ a = $\sqrt{9}$ = 3

b² = 1 ⇒ b = $\sqrt{1}$ = 1

and 2ab = 2 × 3 × 1 = 6

Thus

9x² + 6x + 1 = (3x + 1)²

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Igoryamba

The answer should be
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3 years ago

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Dahasolnce [82]

Answer:

D) Only (-1,9) is a solution.

Step-by-step explanation:

x+y =8

x^2 + y = 10

Lets check the first point (-1,9)

Put in x =-1 y =9

x+y =8

-1+9 = 8

8 =8

This works

x^2 + y = 10

(-1)^2 +9 =10

1+9 = 10

10 = 10

This works

Lets check the second point (-2,6)

Put in x =-2 y =6

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3 years ago

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Roman55 [17]

Given:

A line through the points (7,1,-5) and (3,4,-2).

To find:

The parametric equations of the line.

Solution:

Direction vector for the points (7,1,-5) and (3,4,-2) is

$\vec {v}=\left$

Now, the perimetric equations for initial point $(x_0,y_0,z_0)$ with direction vector $\vec{v}=\left$ , are

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$y=y_0+bt$

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Hunter-Best [27]

Answer:

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Step-by-step explanation:

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