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Andrew [12]
3 years ago
14

An equation is shown below: 8x + 2(x - 7) = 7x + 3x - 14 Part A: Solve the equation and write the number of solutions. Show all

the steps. Part B: Name one property you used to solve this equation.
Mathematics
2 answers:
Art [367]3 years ago
8 0
8x+2(x-7)=7x+3-14\\8x+2x-14=7x+3-14~~Distributive~property\\10x-14=7x-11~combine~like~terms\\
3x-14=-11~subtract~the~7x~from~both~sides\\
3x=3~add~14~to~both~sides\\x=1~divide~both~sides~by~3
klasskru [66]3 years ago
4 0

Answer:

A) there are infinite solutions.

B) distributive property of multiplication

Step-by-step explanation:

Given the equation:

8x + 2(x - 7) = 7x + 3x - 14

To solve this, first apply the distributive property of multiplication,

8x + 2x - 14 = 7x + 3x - 14

Then, combine the similar terms,

8x + 2x -7x -3x =  -14 + 14

0 = 0

This means that any value of x satisfy the equation, that is, there are infinite solutions.

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Read 2 more answers
What is the perimeter of triangle ABC ?
blagie [28]

Answer:

9+\sqrt{41}

Step-by-step explanation:

From C-A, it goes from y=1 to y=5, so that 4 units

From A-B, it goes from x = -1 to x = 4, that is 5 units

Now, to find distance from B to C, we need to use the distance formula:

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Where the variables are the respective points of B and C,

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So x_1 =4, y_1=5, x_2=-1, y_2=1

Plugging into the formula we get:

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(1-5)^2+(-1-4)^2}\\D=\sqrt{16+25}\\ D=\sqrt{41}

Summing it all (perimeter is sum of 3 sides):

Distance = 4+5+\sqrt{41}\\ =9+\sqrt{41}

3rd answer choice is right.

3 0
3 years ago
Jose can read 7 pages of his book in 5 minutes.At this rate, how long will it take him to read the entire 175 page book
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\dfrac{175 \textrm{ pages}}{ \frac{7 \textrm{ pages}}{5 \textrm{ minutes}}} = 125 \textrm{ minutes}

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