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bearhunter [10]
4 years ago
13

Simplify: (3x+3) (x + 2)

Mathematics
2 answers:
Arturiano [62]4 years ago
8 0

Answer: 3x^{2} + 9x + 6

Step-by-step explanation:

(3x + 3) (x + 2)  Apply the distributive property twice to solve

 3x(x + 2) = 3x^2 + 6x

3( x + 2) = 3x + 6  

Now put them together to combine like terms

3x^{2} + 6x + 3x + 6

3x^{2} + 9x + 6

N76 [4]4 years ago
7 0

Answer:

3x² + 9x + 6

Explanation:

(3x + 3)(x + 2)

= (3x + 3)(x + 2)

= (3x)(x) + (3x)(2) + (3)(x) + (3)(2)

= 3x² + 6x + 3x + 6

= 3x² + 9x + 6

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Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to
Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this problem, we have that the center is at point (0,2), hence:

x^2 + (y - 2)^2 = r^2

It goes through point (3,3), hence:

3^2 + (3 - 2)^2 = r^2

r^2 = 10

Hence, the equation is:

x^2 + (y - 2)^2 = 10

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))

Applying implicit differentiation, we have that:

2x + 2y\frac{dy}{dy} = 0

\frac{dy}{dx} = -\frac{x}{y}

Point W(3,3), hence:

(x_0, y_0) = (3,3)

\frac{dy}{dx} = -\frac{3}{3} = -1

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

5 0
3 years ago
28 in 21 in., 20 in.<br> Is this a right triangle?
ankoles [38]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

The simplest way to determine is testing out the numbers with Pythagorian theorem.

If it complies with the theorem, it is a right triangle.

let's assume c = 28, b = 21, and a = 20

the longest side is the hypotenuse so side c (28 in) will be the hypotenuse.

According to the Pythagorian theorem, the square of the length of hypotenuse must equal to the sum of squares of other two sides.

check:

c^2 = 28^2 = 784

a^2 + b^2 = 21^2 + 20^2 = 841

because c^2 is not equal to a^2 + b^2, the triangle is not a right triangle.

7 0
3 years ago
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3
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An just tryna get points

Step-by-step explanation:

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3 years ago
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loris [4]
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Answer:

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