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Yuliya22 [10]
3 years ago
10

What is an equation in point-slope form for the line perpendicular to y=3x+9 that contains (-6,5)?

Mathematics
1 answer:
shutvik [7]3 years ago
4 0
To be perpendicular, the slope of the new line has to have the reciprocal of the original slope.

Do this by flipping the slope (ifi t's a whole number make it a fraction) and change the sign.

3 ⇒ -1/3

Input x and y and solve for b.

5 = -1/3(-6) + b
Simplify.
5 = 2 + b
Subtract 2 from both sides.
3 = b

y = -1/3x + 3
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Determine whether f(x)=5x+1/x and g(x)= x/5x+1 are inverse functions. Explain how you know.
vladimir1956 [14]
A property of inverse functions is that if f(x) = a, g(a) = x

F(x) = (5x+1)/x
G(x) = x/(5x+1)

Plug in x = 3.
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3 years ago
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2 years ago
What are the three differences between an inconsistent system and a consistent and independent system. Explan?
RUDIKE [14]
Hey there Mejia021274,
1) Independent systems have exactly one solution:
x + y = 1
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2) Inconsistent systems have no solutions :
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There is no solution as 5x + y cannot be equal to 6 and 10

3) Consistent systems have a lot of solutions:
x+y = 5 
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<span>A few solutions to this system are (1,4), (2,3), (3,2), (4,1), (5,0), and so on.
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5 0
3 years ago
Write and solve an equation based off the verbal phrase: 6 more than x is equal to 33
kenny6666 [7]

Answer:

x + 6 = 33

Step-by-step explanation:

6 more than x means there's an increment in the value of x by addition of 6

x + 6 = 33

This leads to an algebraic linear equation. x is an unknown variable and can be solved for

we subtract 6 from both sides of the equation

x + 6 - 6 = 33 - 6

x = 27

Therefore, we can say 6 more than 27 is 33

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Express 4x^2-25 as a product of two binomials.
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