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ra1l [238]
3 years ago
9

How do the expressions 4(3+x) and (3+3+3+3) + (x+x+x+x) compare to one another

Mathematics
2 answers:
valina [46]3 years ago
6 0

Answer:

Well they represent the same answer as the second expression is the distributive property of the first expression.

Step-by-step explanation:

4(3+x) is basically 4 • (3+x)since we are working with addition and multiplication you can use the distributive property. That can be written out as (4•3) + (4•x). If you wanted to simplify it even more then it could be written as (3+3+3+3) + (x+x+x+x)

Dafna1 [17]3 years ago
3 0

Answer:

Step-by-step explanation:

If we expand 4(3+x), we get (4*3)+(4*x).

Then we do 4*3 to get 12 and 4*x to get 4x

(3+3+3+3) is the same thing as 4*3, because we are adding 3 together 4 times. (3+3+3+3) gives us 12 as well, since they are the same thing.

(x+x+x+x) is the same thing because we are adding x together 4 times, which is the same thing as (4*x). (x+x+x+x) gives us 4x as well.

Hope this helps.

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The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 intersect to form the sides of a right triangle. Find the perimeter and area
tino4ka555 [31]

The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Determining the perimeter and area of the triangle giving line equation</h3>

In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

The points of intersection of the line are;

(x₁, y₁) = (- 0.4, 5.2),

(x₂, y₂) = (-0.8, 4.4),

(x₃, y₃) = (0, 4)

Determine the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

Determine the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5

Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/12010318

#SPJ1

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You leave a 20% tip on your $70 dinner bill. How much was the tip
jonny [76]

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Answer:

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Step-by-step explanation:

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Simplification

\frac{-2x}{-2}\\=\frac{2x}{2} (\frac{-x}{-y} = \frac{x}{y})\\\frac{2}{2} = 1 = x\\\\\frac{-20}{-2}\\=\frac{20}{2}\\\frac{20}{2}\\=10

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