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1 year ago

What are the solutions of 2|x-6|=10

1 answer:

8 0

$\begin{gathered} 2|x-6|=10 \\ \frac{2\left|x-6\right|}{2}=\frac{10}{2} \\ \mleft|x-6\mright|=5 \\ x-6=-5\quad \mathrm{or}\quad \: x-6=5 \\ \end{gathered}$

then

$\begin{gathered} x-6=-5 \\ x-6+6=-5+6 \\ x=1 \end{gathered}$

$\begin{gathered} x-6=5 \\ x-6+6=5+6 \\ x=11 \end{gathered}$

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consider the point A=(1,3) and the line B, given by the equation y=2x-2 write an equation in slope-intercept of the line passing

lara [203]

Answer:

$y=2x+1$

Step-by-step explanation:

step 1

Write an equation in point-slope of the line passing through point A and parallel to line B

$y-y1=m(x-x1)$

Remember that

If two lines are parallel, then their slopes are equal

In this problem the slope of the given line is m=2

That means

The slope of the parallel line is also m=2

we have

$m=2\\point\ A(1,3)$

substitute

$y-3=2(x-1)$

step 2

Convert to slope intercept form

$y=mx+b$

we have

$y-3=2(x-1)$

isolate the variable y

$y=2x-2+3$

$y=2x+1$

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3 years ago

Two consecutive integers have a sum of 53. Find the integers.

Flura [38]

Answer:

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Step-by-step explanation:

Let one of the numbers be x,

Then the two numbers are x and x +1

And,

x+x+1 = 53

2x = 53 - 1 (Transposing 1 from LHS to RHS)

2x = 52

x = 52/2

x = 26

x + 1 = 27

So, The two numbers are 26 and 27.

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3 years ago

Which choice is the correct graph of [x] > 3?

Free_Kalibri [48]

Answer:

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3 years ago

1.) -2(6 - 2x) = 4(-3 + x)<br> 2.) 5 - 1(2x + 3) = -2(4 + x)

Scrat [10]

Let's solve your equation step-by-step.

Question 1: −2(6−2x) =4(−3+x)

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

−12+4x=−12+4x

4x−12=4x−12

Step 2: Subtract 4x from both sides.

4x−12−4x=4x−12−4x

−12=−12

Step 3: Add 12 to both sides.

−12+12=−12+12

0=0

Answer: All real numbers are solutions.

Question 2:

Let's solve your equation step-by-step.

5−1(2x+3) =−2(4+x)

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

5+−2x+−3=−8+−2x

(−2x) +(5+−3) =−2x−8(Combine Like Terms)

−2x+2=−2x−8

Step 2: Add 2x to both sides.

−2x+2+2x=−2x−8+2x

2=−8

Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

Answer: There are no solutions.

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3 years ago

A student finished a 30 question test in 75 minutes. Which rate best represents the relationship between the number of minutes s

blagie [28]

Answer:

2.5 minutes per quesiton

Step-by-step explanation:

75 minutes to take 30 quesitons means you divide the time equally so

75/30

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3 years ago