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Paladinen [302]
3 years ago
14

What is the slope of a line perpendicular to a line with slope –9?

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

The answer is 1/9.

Step-by-step explanation:

When solving for the slope of a perpendicular line to a given, you have to flip the opposite reciprocal.

First take the number and flip the reciprocal, in this case -9 turns into -1/9.

Then flip the sign, like making a negative to a positive or a positive to a negative. In this case make -1/9 into 1/9

Therefore the answer is 1/9.

You might be interested in
Multiply by 4,subtract 5, find the input when the output is 29
Alborosie

Answer:

17/2

Step-by-step explanation:

4x-5=29

4x=34

x=17/2

8 0
3 years ago
An international company has 25,600 employees in one country. If this represents 19.3% of the company's employees, how many empl
Elden [556K]

Answer:

Step-by-step explanation:

An international company has 25,600 employees in one country. If this represents 19.3% of the company's employees, then the total number of employees that the international company has would be 100%.

To determine the actual value for 100%,

Let x represent the total number if employees that the international company has. Therefore

19.3/100 = 25,600/x

Cross multiplying,

19.3x = 25600 × 100 = 2560000

x = 2560000/19.3 = 132642.49

The total number of employees is approximately 132643

8 0
3 years ago
What is two thirds of eight
AlladinOne [14]
5 + 0.33333... 

<span>If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. </span>

<span>x = 0.33333... </span>

<span>Multiply that by 10 to shift everything 1 place to the left: </span>
<span>10x = 3.33333... </span>

<span>Now subtract: </span>
<span>10x - x = 3.33333... - 0.33333... </span>
<span>9x = 3 </span>
<span>x = 3/9 </span>
<span>x = 1/3 </span>

<span>Answer: </span>
<span>5 1/3 </span>

<span>P.S. Here's a shortcut way to turn a repeating decimal into a fraction. </span>

<span>1) Take the repeated part and put it over an equivalent number of nines. </span>

<span>Example: </span>
<span>0.57575757... = 57/99 </span>

<span>At that point, see if you can reduce the fraction: </span>
<span>= 19/33 </span>

<span>Another example: </span>
<span>0.123123123... = 123/999 </span>
<span>= 41/333 </span>

<span>So in your example: </span>
<span>5.33333... = 5 + 0.33333... </span>
<span>= 5 + 3/9 </span>
<span>= 5 1/3</span>
8 0
4 years ago
Evaluate the function f(x) at the given numbers (correct to six decimal places). F(x) = x2 − 5x x2 − x − 20 , x = 5.5, 5.1, 5.05
exis [7]

we are given

f(x)=\frac{x^2-5x}{x^2-x-20}

Firstly, we will simplify it

f(x)=\frac{x(x-5)}{(x-5)(x+4)}

f(x)=\frac{x}{(x+4)}

At x=5.5:

we can plug x=5.5

f(5.5)=\frac{5.5}{(5.5+4)}

f(5.5)=0.578947

At x=5.1:

we can plug x=5.1

f(5.1)=\frac{5.1}{(5.1+4)}

f(5.1)=0.56043956

At x=5.05:

we can plug x=5.05

f(5.05)=\frac{5.05}{(5.05+4)}

f(5.05)=0.558011

At x=5.01:

we can plug x=5.01

f(5.01)=\frac{5.01}{(5.01+4)}

f(5.01)=0.5560488

At x=5.005:

we can plug x=5.005

f(5.005)=\frac{5.005}{(5.005+4)}

f(5.005)=0.5558023

At x=5.001:

we can plug x=5.001

f(5.001)=\frac{5.001}{(5.001+4)}

f(5.001)=0.5556049

At x=4.9:

we can plug x=4.9

f(4.9)=\frac{4.9}{(4.9+4)}

f(4.9)=0.5505617

At x=4.95:

we can plug x=4.95

f(4.95)=\frac{4.95}{(4.95+4)}

f(4.95)=0.5530726

At x=4.99:

we can plug x=4.99

f(4.99)=\frac{4.99}{(4.99+4)}

f(4.99)=0.55506117

At x=4.995:

we can plug x=4.995

f(4.995)=\frac{4.995}{(4.995+4)}

f(4.995)=0.55503085

At x=4.999:

we can plug x=4.999

f(4.999)=\frac{4.999}{(4.999+4)}

f(4.999)=0.55550616



7 0
4 years ago
Work out x² -11x+18=0
Diano4ka-milaya [45]

Answer: x=2 or x=9

Step-by-step explanation:

Step 1: Factor left side of equation.

(x−2)(x−9)=0

Step 2: Set factors equal to 0.

x−2=0 or x−9=0

x=2 or x=9

3 0
3 years ago
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