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Flauer [41]
3 years ago
8

What is the slope of a line perpendicular to the line y= - 2/3x + 1

Mathematics
1 answer:
sesenic [268]3 years ago
7 0
3/2 since perpendicular lines have opposite reciprocal slopes
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Determine all intervals on which f(x) > 0.
8_murik_8 [283]

Answer: [-7, -4]u[0, 3]

4 0
3 years ago
A)Loss is denoted by a negative integer and profit is denoted by a positive integer. A
Blizzard [7]
Hi I am here to help the answer is 46-90
6 0
2 years ago
Solve this equation by using the substitution method. Make sure you show ALL your work.
djverab [1.8K]

Step-by-step explanation:

substitute for y

x+3+4 = -6x

x+ 7 = -6x

7 = -7x

-1 = x

y = -1+3

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4 0
3 years ago
Lamar works as a tutor for $7 an hour and as a waiter for $8 an hour . this month he worked a combined total of 92 hours at his
ira [324]

t is the number of hours Lamar worked as a tutor 
We know that he worked for 92 hours total, so he worked 92-t hours as a waiter.

So his earnings are: 7t + 8(92-t) = 736 -t dollars

This expression seems logical as if Lamar worked 0 hours as a tutor and 92 as a waiter his earnings would be 8*92 = 736
If he worked as a tutor for 92 hours it would be 7*92= 644 
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5 0
3 years ago
Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb
Umnica [9.8K]

Answer:

It would roll in this direction.

\nu  =  (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.  

Since  

z =  ax^2  + by^2

For this case, the gradient of your function would be

\nabla z  = (2ax , 2by)

And  -1  times the gradient of your function would be

-\nabla z  = (-2ax , -2by)\\

Then, at

 (1,1,a+b),\\x = 1 \\y = 1

So it would go towards

v = (-2a,-2b)

The magnitud of that vector is

|v| =  2\sqrt{a^2+b^2}

and to conclude it would roll in this direction.

\nu  =  (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})

6 0
3 years ago
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