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Nadusha1986 [10]
2 years ago
11

Find the slope of a line perpendicular to y=⅖x+⅘​

Mathematics
2 answers:
Yakvenalex [24]2 years ago
6 0
To find the slope perpendicular we will take our original slope (2/5) and find the reciprocal.
To do this, we will flip the slope (so we get 5/2) and make it negative so we get our final perpendicular slope of -5/2
zloy xaker [14]2 years ago
4 0

Answer:

-2.5

Step-by-step explanation:

The perpendicular slope will be the opposite reciprocal of the original slope.
So the slope of the perpendicular will be:

\frac{-1}{0.4} = -2.5

If we were asked to give the equation of the perpendicular it would be:

-2.5x+ 4/5

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135. sale price and 25percent of sale price what was the regular price
ollegr [7]

Answer:

the regular price was 33.75

5 0
3 years ago
How many passwords of 4 digits are there(a)if none of the digits can be repeated?(b)start with 5 and end in an even digit?
liraira [26]

Answer:

5040,56

Step-by-step explanation:

We have to construct pass words of 4 digits

a) None of the digits can be repeated

We have total digits as 0 to 9.

4 digits can be selected form these 10 in 10P4 ways (since order matters in numbers)

No of passwords = 10P4

= 10(9)(8)(7)\\=5040

b) start with 5 and end in even digit

Here we restrain the choices by putting conditions

I digit is compulsorily 5 and hence only one way

Last digit can be any one of 0,2,4,6,8 hence 5 ways

Once first and last selected remaining 2 digits can be selected from remaining 8 digits in 8P2 ways (order counts here)

=56

3 0
3 years ago
Find the probability of spinning an A 3 times
Dima020 [189]
If the probability of spinning an A once is 1/12, then the probability of spinning an A 3 times is 3 × 1/12.

3 × 1/12 = 3/36

Simplify

3/36 = 1/12
6 0
3 years ago
Bobby put 1/3 of his lawn mowing money into his savings and uses the remaining 2/5 to buy a video game. If he has $12 left, how
Alexeev081 [22]

Given:

Bobby put 1/3 of his lawn mowing money into his savings

He uses the remaining 2/5 to buy a video game.

He has $12 left.

To find:

The amount did he have at first.

Solution:

Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

x-\dfrac{1}{3}x=\dfrac{2}{3}x

He uses the remaining 2/5 to buy a video game. Then the remaining amount is

Remaining=\dfrac{2}{3}x-\dfrac{2}{3}x\times \dfrac{2}{5}

Remaining=\dfrac{2}{3}x-\dfrac{4}{15}x

Remaining=\dfrac{10x-4x}{15}

Remaining=\dfrac{6x}{15}

Remaining=\dfrac{2x}{5}

It is given that the remaining amount is $12.

12=\dfrac{2x}{5}

12\times 5=2x

60=2x

Divide both sides by 2.

\dfrac{60}{2}=x

30=x

Therefore, Bobby have $30 at first.

6 0
3 years ago
I need help and can you explain how you got the answer because I don’t understand how to do this..
Bond [772]

Answer:

9 cm

Step-by-step explanation:

The formula to calculate the area of a triangle is: A = bXh square units.

Therefore simply divide the area given 54 cm over base 6 cm to get the height. 54÷ 6 = 9

Hope this suffices.

6 0
3 years ago
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