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GREYUIT [131]
3 years ago
8

The graphs of the equation y = 4x + 1 and y - kx = 10 are perpendicular when k = _______?

Mathematics
1 answer:
Ann [662]3 years ago
3 0

Answer:

k=-\frac{1}{4}

Step-by-step explanation:

we have

Line 1

y=4x+1

Equation in slope intercept form

The slope is equal to

m_1=4

Line 2

y-kx=10

y=kx+10

Equation in slope intercept form

The slope is equal to

m_2=k

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

so

m_1*m_2=-1

substitute

(4)(k)=-1

k=-\frac{1}{4}

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Step-by-step explanation:

8 0
2 years ago
Given the parent function f(x) = x give the best description of the graph of y = x3 +3.
oee [108]

Answer: A

Step-by-step explanation:

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6 0
3 years ago
How do I solve 372 = -3x - 6(8x + 6)? I already know that x = -8, but I need to know the process of how to get it.
ziro4ka [17]

The value of x is -8

Step-by-step explanation:

The steps of solving an equation of one variable

  1. Simplify the two sides of the equation
  2. Separate the variable in one side and the numerical term in the other side
  3. Divide the both sides by the coefficient of the variable

∵ 372 = -3x - 6(8x + 6)

- Simplify the R.H.S. of the equation by multiplying the bracket by 6

∵ 372 = -3x - [6(8x) + 6(6)]

- You must put the square bracket because the sign in-front of 6

  is (-) and the (-) changes the signs after it

∴ 372 = -3x - [48x + 36]

- Remember (-)(+) = (-), multiply the square bracket by (-)

∴ 372 = -3x - 48x - 36

- Add the like terms in the R.H.S.

∴ 372 = -51x - 36

- Add 36 to both sides to separate x in the R.H.S.

∴ 408 = -51x

- Divide both sides by -51 (coefficient of x)

∴ -8 = x

I hope these steps help you

The value of x is -8

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

3 0
3 years ago
Find the range of the graphed function.
rusak2 [61]

Range is set of all y-values. To find a range of graphed function, we need to know that range starts from the minimum value of graph to maximum value. That's because the minimum value is the least value that you can get by substituting the domain and the maximum value is the largest value that you can get by substituting the domain as well.

Now we don't talk about domain here, we talk about range. See the attachment! You are supposed to focus on y-axis, plane or vertical line. See how the minimum value of function is the negative value while the maximum value is positive.

That means any ranges that don't contain the negative values are cleared out. (Hence A and C choices are wrong.)

Next, range being set of all real numbers mean that graphed functions don't have maximum value or minimum value (We can say that both max and min are infinite.)

Take a look at line graph as an example of range being set of all real numbers, or cubic function.

Answer/Conclusion

  • The range exists from negative value which is -9 to the maximum value which is 5.
  • That means the range is -9<=y<=5

3 0
2 years ago
Find an ordered pair (x y) that is a solution to the equation calculator
galina1969 [7]
Pick a value for 'x' then solve for the 'y'

Ex: X=6 then 6-2y=2 then 4=2y then y=2y

So your answer will be 6,2.

Another answer to your question would be 4,1.
7 0
3 years ago
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