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2 years ago

The sum of twice a number and 6 is equal to the sum of the number and 3

Mathematics

1 answer:

kvasek [131]2 years ago

8 0

2x+6=x+3 this is the answer

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Do the points A(1,3) B(4,2) C(-2,4) lie on the same line? Explain your answer. Show all work.

Jet001 [13]

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Further explanation:

There are two methods to find if the given points are on same line

The slope method: If the points are on same line the slopes of two pairs of points will be same
Area of triangle method

Given points are:

A(1,3) B(4,2) C(-2,4)

We will find the slope of AB, BC, and AC

So,

$m=\frac{y_2-y_1}{x_2-x_1}$

$Slope\ of\ AB=\frac{2-3}{4-1} \\=-\frac{1}{3}$

$Slope\ of\ BC=\frac{4-2}{-2-4}\\ =\frac{2}{-6}\\=-\frac{1}{3}$

$Slope\ of\ AC= \frac{4-3}{-2-1} \\=-\frac{1}{3}$

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Keywords: Slope, Co linear points

Learn more about slope at:

#LearnwithBrainly

3 0

3 years ago

Which of the following is a radius of circle B?<br> BN<br> MD<br> NH

azamat

The correct answer is BN.

3 0

3 years ago

Which of the Following statements is NOT true?

Mice21 [21]

Answer:

the statement which is not true is

~All Irrational Numbers are real Numbers

4 0

3 years ago

The side lengths of a triangle are 12, 14, and x units

Orlov [11]

Answer: x=14

Step-by-step explanation: have a good day

6 0

2 years ago

Which expression is equivalent to ? Assume.

nikdorinn [45]

Answer:

2. $-2x^{8}y^{18}$

Step-by-step explanation:

We have been given an expression $\frac{10x^{6}y^{12}}{-5x^{-2}y^{-6}}$ and we are asked to find equivalent expression to our given expression.

Using fraction rule $\frac{a}{-b} =-\frac{a}{b}$ we can write our expression as: $-\frac{10x^{6}y^{12}}{5x^{-2}y^{-6}}$ .

Upon dividing 10 by 5 we will get,

$-\frac{2x^{6}y^{12}}{x^{-2}y^{-6}}$

Upon using exponent property for quotient $(\frac{a^{m}}{a^{n}} =a^{(m-n)})$ we will get,

$-\frac{2x^{6}y^{12}}{x^{-2}y^{-6}}=-2x^{(6--2)}y^{(12--6)}$

$-2x^{(6+2)}y^{(12+6)}$

$-2x^{8}y^{18}$

Therefore, our expression simplifies as $-2x^{8}y^{18}$ and 2nd option is the correct choice.

6 0

3 years ago

Read 2 more answers