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goldenfox [79]
1 year ago
15

What is the relationship between two lines whose slopes are −8 and 1 8 ?

Mathematics
2 answers:
zavuch27 [327]1 year ago
5 0

Answer:

They are perpendicular lines

Step-by-step explanation:

If one line has slope -8 and the other one has slope 1/8, they must be perpendicular to each other because the condition for perpendicular lines is that the slope of one must be the "opposite of the reciprocal of the slope of the original line."

the opposite of -8 is 8 , and the reciprocal of this is 1/8

JulijaS [17]1 year ago
3 0

Answer:

Below

Step-by-step explanation:

Let m and m' be the slopes of two different lines.

These lines are peependicular if and only if:

● m×m' = -1

Notice that:

● -8 ×(1/8) = -1

So the lines with the respectives slopes -8 and 1/8 are perpendicular.

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A survey of the men in a certain town showed that 35% of the men have blond hair and 14% of them have blond hair and blue eyes.
natita [175]
If you are given he has blond hair, so the total probability will be 35%. And among them, he needs to have blue eyes, its probability is 14% among the 35%. So the final probability is 14%/35%=40%.
7 0
2 years ago
Consider the trinomial 9x2 + 21x + 10. What value is placed on top of the X? What value is placed on the bottom of the X? What i
inna [77]

Answer: 1) Value is placed on top of the X =90

2) Value is placed on the bottom of the X =21

3)  Factored form will be (3x+5)(3x+2)

Step-by-step explanation:

Since we have given that

9x^2 + 21x + 10

As we know the quadratic form :

ax^2+bx+c=0

1) Value is placed on top of the X is given by

a\times c=9\times 10=90

2) Value is placed on the bottom of the X is given by

b=21

3) Factorised form:

We will use "Split the middle term":

9x^2 + 21x + 10\\\\=9x^2+15x+6x+10\\\\=3x(3x+5)+2(3x+5)\\\\=(3x+2)(3x+5)

Hence, Factored form will be

(3x+5)(3x+2)

7 0
2 years ago
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Before a new video game is released, it is tested by a number of volunteer gamers. During testing, the experimental probability
sesenic [268]

Answer:

2000 players will complete the game with a perfect score.

Step-by-step explanation:

The testing phase tells us that \frac{1}{500} is the probability that a person will finish with a perfect score.

This means 1 out of 500 people will be able to finish with perfect score.

Now,

the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be  \frac{1}{500}the of 1 million!

We do the calculation shown below:

\frac{1}{500}*1,000,000=2000

So, 2000 players will complete the game with a perfect score.

3 0
2 years ago
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What is the exponential notation for 262,144
7nadin3 [17]

since there is always a decimal at the end of every value so :

           = 262144.0 

        you move the decimal backwards if there is no decimal between the value. you place the decimal after the 1st digit, you will also count the digits you have passed : 

         = 2.62144 X 10^5 

you passed 5 values so you put 5 in exponent form.


7 0
1 year ago
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Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36. What is the residual valu
sammy [17]
The answer
the table is 

x   0   1  4  5   7
y   3   1  0 -2  -2

<span>the approximate line of best fit to be y = –0.7x + 2.36
so when the value of x=5, the residual value is 

</span><span>y = –0.7(5) + 2.36  =  -1.14 this is the actual value
the predicted value is -2 (for x=5)

and residual value formula is  RS =  y actual value - y predicted value

so RS = -1.14 - (-2) = 0.86
</span>
3 0
1 year ago
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