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aleksandrvk [35]
1 year ago
15

What is the slope of the line with the equation 9x=6+6y

Mathematics
1 answer:
harkovskaia [24]1 year ago
3 0

Given the equation of the line :

9x=6+6y

To find the slope convert the given equation to the slope - intercept form

which is like:

y=m\cdot x+b

where m is the slope

So, solve the given equation for y:

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Solve for y in the equation <br> 5{2y+1}=4{5}y+1-15
sergejj [24]

Answer:

2/3

Step-by-step explanation:

2(y+1) =4(5)y + 1-15

2y+2=20y+1-15-2

18y=12

divide both sides by 18

y=2/3

4 0
3 years ago
In a thunderstorm, the wind velocity in meters per second can be described by the function v(p) = 5.7 √998 - p, where p is the a
nataly862011 [7]

Answer:

923.1927 millibars

Step-by-step explanation:

The wind velocity is given by the function:

v(p)=5.7\sqrt{(998-p}

#We make p the subject of the formula:

v(p)=5.7\sqrt{(998-p}\\\\v=5.7\sqrt{(998-p}\\\\\frac{v}{5.7}=\sqrt{(998-p}\\\\\frac{v^2}{5.7^2}=998-p\\\\p=998-\frac{v^2}{5.7^2}

#Substitute the given values in the function above to solve for p;

p=998-\frac{v^2}{5.7^2}\\\\=998-\frac{49.3^2}{5.7^2}\\\\=923.1927\ millibars

Hence, the air pressure is 923.1927 millibars.

7 0
3 years ago
Need help on this please
avanturin [10]

Answer:

x²+y²=4

Step-by-step explanation:

x²+y²=4

6 0
3 years ago
Find the surface area of a bar of soap if the diameter is 5 cm and the height is 2cm .
Vinil7 [7]
Please see the pic, I'd solved in it.

7 0
3 years ago
Read 2 more answers
In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the
andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

braniest

4 0
3 years ago
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