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3 years ago

What is the solution to the equation -4(2x+3)=2x+6-(8x+2)?

Mathematics

1 answer:

Ahat [919]3 years ago

5 0

Answer:

The solution to the given equation is that the value of x is -8.

Step-by-step explanation:

-4(2x + 3) = 2x + 6 - (8x + 2)

Distribute -4 to (2x + 3).

-8x - 12 = 2x + 6 - (8x + 2)

Since there is a negative sign in front of (8x + 2) then you will turn the terms into negatives.

-8x - 12 = 2x + 6 - 8x - 2

Now, combine like terms on the right side of the equation.

-8x - 12 = -6x + 4

Add -6x on both sides of the equation.

-2x - 12 = 4

Add 12 to both sides of the equation.

-2x = 16

Divide -2 on both sides on the equation.

x = -8

So, the value of x is -8.

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Use the image above to write a conjecture about regular polygons and lines of symmetry

Tatiana [17]

To find conjecture about regular polygon, use the formula $\frac{360}{n}$

Where, n = number of sides of the regular polygone

1) Triangle
n =3
So, Conjecture of the triangle = $\frac{360}{3}$ = 120

2) Square
n =4
So, Conjecture of the square = $\frac{360}{4}$ = 90

3) Pentagone
n = 5
So, Conjecture of the pentagon = $\frac{360}{5}$ = 72

4) Hexagone
n = 6
So, Conjecture of the pentagon = $\frac{360}{6}$ = 60.

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4 years ago

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Point A(-2, -2) and B(3, -2) are dilated with the center of dilation at C(0, 0) and k=2.

frez [133]

9514 1404 393

Answer:

A'(-4, -4), B'(6, -4), parallel

Step-by-step explanation:

The dilation factor multiplies each of the coordinate values. The line that was y=-2 becomes the line y=-4, a parallel horizontal line.

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3 years ago

What’s the answerrr..........

Afina-wow [57]

Answer:

D.90

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3 years ago

What is the solution of the system?

evablogger [386]

Subsitution

solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y

there are an infinite number of solutions

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4 years ago

Daily Distance Larry Biked (Km)

notsponge [240]

Answer:

The most common distance that Larry biked was of 6 Km.

Step-by-step explanation:

The most common distance that Larry biked is the number, in Km, which appears most frequently in this table.

The number which appears the most frequently is:

6 km

This means that the most common distance that Larry biked was of 6 Km.

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3 years ago