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hodyreva [135]
3 years ago
11

A line passes through the point (3,9) and has a slope of 4

Mathematics
2 answers:
expeople1 [14]3 years ago
7 0
Point-slope form is y - y1 = m(x - x1). We just need to plug in our stuff. This gives us y - 9 = 4(x - 3). I am not sure if you need to simplify, but if you do, y - 9 = 4x - 12.
miv72 [106K]3 years ago
4 0

Answer:

y - 9 = 4(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 4 and (a, b ) = (3, 9 ) , then

y - 9 = 4(x - 3) ← equation of line

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What number is 25% of 168?
frez [133]

Answer:

42

Step-by-step explanation:

You turn the percentage into a decimal, 25%=0.25

then you multiply 0.25 to 168

Then you get 42

0.25 x 168 = 42

Hope this helps <3

7 0
3 years ago
In two days, 48,000 gallons of oil gushed out of a well. At what rate did the oil flow from the well?
Kay [80]
24,000 gallons a day   1,000 gallons an hour    16.666666667 gallons a minute
7 0
3 years ago
Read 2 more answers
EYEWITNESS TESTIMONY. A man was struck by a speeding taxi as he crossed the street. An eyewitness testified the taxi (which did
Brrunno [24]

Answer:

The probability the man was hit by a Blue Cab taxi is 41%.

Step-by-step explanation:

In terms of bayesian probability, we have to calculate P(B|Wr), or, given the witness saw the right colour, the taxi is from the Blue Cab company.

According to Bayes

P(B|Wr) = P(Wr|B)*P(B)/P(Wr)

P(Wr|B) = 0,8

P(B) = 0.15

To calculate P(Wr), or the probability of the witness of guessing right, we have to consider the two possibilities:

1) The taxi is from Blue Cab (B) and the witness is right (Wr).

2) The taxi is from Green Cab (G) and the witness is wrong (Ww).

The total probality of guessing right is

P(B)*P(Wr) + P(G)*P(Ww) = 0.15*0.8 + 0.85*0.2 = 0.29

So we can calculate:

P(B|Wr) = P(Wr|B)*P(B)/P(Wr) = 0.8*0.15/0.29 = 0.41

The probability the man was hit by a Blue Cab taxi is 41%.

4 0
3 years ago
The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
Brut [27]

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

6 0
3 years ago
What is the value of 9 in 89,170,326
sasho [114]

89,170,326

millions is the place value of 9

hope that helps :)

6 0
3 years ago
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