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3 years ago

Distributive property/collecting like terms. 4n -2 - 2n

Mathematics

1 answer:

marusya05 [52]3 years ago

7 0

Distributive property: a(b + c) = ab + ac

4n - 2 - 2n = 2(2n - 1 - n)

4n - 2 - 2n = 2n - 2 = 2(n - 1)

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I’m confused on this one

Mashutka [201]

Greetings!

The formula for the area of any triangle is as followed:

$A_{triangle}=\frac{bh}{2}$

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<u>Let Statements:</u>

Let the variable...

→ $b$ represent the length of the base of the triangle

→ $h$ represent the length of the height of the triangle

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Using the information provided from the question, we can substitute its values in place of the variables and solve for the last remaining variable:

$10=\frac{(4)(x+3)}{2}$

Distribute the parenthesis<em> (The Distributive Property) </em>:

$10=\frac{((4)(x)+(4)(3))}{2}$

$10=\frac{4x+12}{2}$

Reduce the fraction to lowest terms:

$10=2x+6$

Add -6 to both sides of the equation:

$(10)+(-6)=(2x+6)+(-6)$

$4=2x$

Divide both sides of the equation by 2:

$\frac{4}{2}=\frac{2x}{2}$

$2=x$

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The Answer to this Problem is:

$\boxed{x=2}$

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I hope this helped!

-Benjamin

5 0

3 years ago

What does y equal. -4y+6y-5=9

Phoenix [80]

Answer:

y = 7

Step-by-step explanation:

$-4y+6y-5=9$

Add -4y and 6y

$2y-5=9$

Move all terms not containing y to the right side of the equation.

$2y=14$

Divide both sides by 2

$y=7$

4 0

3 years ago

Select the correct answer

Kaylis [27]

Answer:

B. 1.-1,-2

Step-by-step explanation:

$g(x) = x ^{3} + 2 {x}^{2} - x - 2$

Substitute g(x)=0

$0 = {x}^{3} + 2 {x}^{2} - x - 2$

Move the expression to the left

$0 - {x}^{3} - 2 {x}^{2} + x + 2 = 0$

Factor out -x^2 from the expression

$- {x}^{2} \times (x + 2) + x + 2 = 0$

Factor out (x+2) from the expression

$(x + 2) \times ({x}^{2} + 1) = 0$

When the product of the factor equals 0, at least one factor is 0

$x + 2 = 0$

$- {x}^{2}+ 1 > = 0$

Solve for x

$x = - 2 \\ x = - 1\\ x = 1$

4 0

3 years ago

A school is planning a field trip for 142 people. The trip will use 6 drivers and two types of vehicles:buses and vans. A bus ca

Fynjy0 [20]

So 51+51=102 and then 10+10+10+10=40, and 102+40=142. So they will need to take 2 buses and 4 vans.
hope I helped

5 0

3 years ago

Read 2 more answers

Area in sq. in. = 3/5 in. X 3 1/2 in.

nexus9112 [7]

Answer:

3/5 X 3 1/2 = 3/5 X 7/2 = 21/10 = 2.1 in²

Step-by-step explanation:

6 0

3 years ago