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mina [271]
2 years ago
14

What property justifies that 6x+9/3 =2x + 3? (see the pic of how the fraction is)

Mathematics
1 answer:
spayn [35]2 years ago
3 0

Answer:

C. Distributive property

Step-by-step explanation:

Distributive property says that

a\cdot (b+c)=a\cdot b+a\cdot c

Consider left part of the expression

\dfrac{6x+9}{3}=\dfrac{1}{3}\cdot (6x+9)

By distibutive property,

\dfrac{1}{3}\cdot (6x+9)\\ \\=\dfrac{1}{3}\cdot 6x+\dfrac{1}{3}\cdot 9\\ \\=2x+3

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Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 +
anastassius [24]

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 *  1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

Total mass = mass left + mass right = 1 + 2 = 3 grams

8 0
3 years ago
What is the volume of a cardboard box that measures 1 inch by 5 inches by 7 inches?
Nutka1998 [239]

Answer:

35 cubic inches

Step-by-step explanation:

V= lwh

1*5*7= 35

4 0
2 years ago
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What does 3,146 round to nearest thousand
Lisa [10]
3 is in the thousands
so the answer is 3000
4 0
3 years ago
The triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Tria
kotykmax [81]

Answer:

I would go with c.

Step-by-step explanation:

Hope this helped!

7 0
2 years ago
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A blockbuster movie makes about $352,000,000 in the United States during its opening weekend. The same weekend another movie ope
Ivenika [448]

The combined revenue for the movies in scientific notation is  \$ 3.568 \times 10^8.

The given parameters;

  • <em>first revenue made from the movie, = $352,000,000</em>
  • <em>second revenue made from the movie, = $4,800,000</em>

The combined revenue from the movie is calculated by adding the two revenues together as shown below;

Total revenue = $352,000,000  +  $4,800,000

Total revenue = $356800000 =  \$ 3.568 \times 10^8

Thus, the combined revenue for the movies in scientific notation is  \$ 3.568 \times 10^8

Learn more here:brainly.com/question/18911739

5 0
2 years ago
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