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kykrilka [37]
2 years ago
6

The line m has a slope of 4. What is the slope of a line perpendicular to line m?

Mathematics
2 answers:
tatuchka [14]2 years ago
7 0

Answer:

In order to make a slope perpendicular, you have to change its sign depending on whether it is negative or positive. And you have to change it upside down (its reciprocal)

Therefore,

-1/4

g100num [7]2 years ago
4 0

Answer:

-1/4

Step-by-step explanation:

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Is this proportional??
marin [14]

Answer:

No, it's not

Step-by-step explanation:

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3 years ago
How many 2 1/2 hour movie can be shown consecutively in a 20 hour period?
Cloud [144]
20/2.5 = 8
So 8 movies can be shown in 20 hours.
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3 years ago
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Help please! I know I'm supposed to calculate how many hours she worked then multiply it by 6.75$ but I cannot get any answers t
MrMuchimi

Marcia started work at 7.32 and finished work at 3.43. In total she worked 8 hours and 11 minutes.


Convert the 11 minutes into decimal form: 

11 minutes / 60 minutes in an hour = 0.18 (rounded)


Multiply her hourly rate by her hours worked:

8.18*6.75 = $55.125 (you can round this up or down).

3 0
3 years ago
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An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn
Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0
2 years ago
Mr.Fields ordered 3 tons of gravel for a drive way at a factory.how many pounds of gravel did he order?
soldi70 [24.7K]
Mr.Fields would have 6,000 pounds

4 0
3 years ago
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