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lozanna [386]
2 years ago
9

For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?

Mathematics
1 answer:
NARA [144]2 years ago
8 0

Answer:

k = (6/15)

Step-by-step explanation:

The equation is:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

To have no solutions, we need to have something like:

x + 7 = x + 4

where we can remove x in both sides and end with

7 = 4

So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.

First, let's try to simplify our equation:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

6*x + 6 + 2 = 3*k*5*x + 3*1 + 3

6*x + 8 = 15*k*x + 6

if 15*k = 6, then the system clerly has no solution.

then:

k = 6/15

then we get:

6*x + 8 = (6/15)*15*x + 6

6*x + 8 = 6*x + 6

8 = 6

The system has no solutions.

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2 years ago
Can I have help with the question
sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \frac{7}{9} x + \frac{16}{9}

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\frac{9-0}{0-7}=\frac{9}{-7}

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \frac{7}{9} will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = \frac{7}{9} (x-3.5)

y - 4.5 = \frac{7}{9} x-\frac{49}{18}

y = \frac{7}{9} x-\frac{49}{18} + 4.5

y =  \frac{7}{9} x + \frac{16}{9}

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
Solve: 4|x| = 32<br><br> A. 8<br> B. 24 <br> C. -8 or 8 <br> D. No solution
kirill [66]
<span> C. -8 or 8
</span>
4 |-8| = 4*8 = 32 4 |<span>8</span>| = 4*8 = 32

5 0
2 years ago
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