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Artist 52 [7]
3 years ago
12

What is the slope of the line perpendicular to the y=-1/5x-9? Plz help me

Mathematics
1 answer:
labwork [276]3 years ago
4 0

Answer:

5

Step-by-step explanation:

Remember that the slope of a line that is perpendicular to a given line is the negative reciprocal of the slope of the given line.

Here we are given the line y = -(1/5)x - 9.  The slope is (-1/5).  The negative reciprocal of this is +5.  That's the answer you wanted.

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(20n^2+N^3+10n^2) /10N^2
kirill115 [55]
Combine like terms:
n^3 + 20n^ + 10n^2
= n^3 + 30n^

Divide:
=n^3 + 30n^2/10n^2

Factor:
=n^2n + 30n^2
=n^(n + 30)
= 2^2(n + 30)/10n^2

Cancel the common factor n^2:
=n + 10/10

3 0
3 years ago
Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient
ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

=9 \times x\\= 9x

The quotient of that number and 5.

= \frac{x}{5}

The difference between both expression;

9x - \frac{x}{5}

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as 9x - \frac{x}{5}

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

\frac{n}{12}

Eight more than the resulting function is;

\frac{n}{12}+8

Hence eight more than the quotient of twelve and a number n is expressed as \frac{n}{12}+8

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

6-x

product of a number x and the quantity 'six minus the number is;

x(6-x)

quotient of eight and the number is;

\frac{8}{x}

Taking the resulting sum of the last two expression

x(6-x) + 8x

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

x(6-x) + 8x

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

= 2x +(2x+2)+(2x+2+2)\\=  2x+(2x+2)+(2x+4)

4 0
3 years ago
Vicki ordered an enchilada ($2.75), refried beans ($1.75), rice ($.95), and sparkling water ($1.35). Estimate the cost of her me
PSYCHO15rus [73]
Well the first step is to add all the prices up which adds up to $6.80 and multiply it by 1.15. Since the 1 is for the original price which is 6.8 and the .15 is for the tip. You’re welcome and have a nice day
3 0
3 years ago
Please show work for both problems
pentagon [3]

Answer:

1) x = 25    2) x = 23; m∠CBD = 80 degrees

Step-by-step explanation:

1) 5x + 15 = 6x - 10           Set both equations equal to each other

- 5x         - 5x                  Subtract 5x from both sides

15 = x - 10

+ 10    + 10                       Add 10 to both sides

25 = x

2) 2x + 14 + x + 7 = 90         Set the equations equal to 90

   3x + 21 = 90                     Combine like terms

         - 21  - 21                      Subtract 21 on both sides

3x = 69                                 Divide both sides by 3

x = 23

Plug 23 into the equation

2(23) + 14 = 60

5 0
3 years ago
The areas of two similar rectangles are 180 ft.² and 320 ft.². What scale factor applied to the smaller rectangle will give the
grigory [225]
The ratio of areas is the square of the scale factor, so that factor is
  √(320/180) = 4/3
8 0
2 years ago
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