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sukhopar [10]
3 years ago
15

The slope of the line below is 5. Which of the following is the point-slope form of the line?

Mathematics
1 answer:
romanna [79]3 years ago
6 0
Slope, m = 5

Using the slope intercept form:

y - y₁ = m(x -x₁),     assuming the line passes through point (x₁, y₁)

<span>y - y₁ = 5(x -x₁)
</span>
So the equation in point slope form is:  <span>y - y₁ = 5(x -x₁)</span>
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A map of Australia has a scale of 1cm : 110 km. If the distance between Darwin and Alice springs is 1444 kilometers, how far apa
goldenfox [79]
You divide 1444 kilometers by 110 kilometers to get x cm.

1444/110 = <span>13.127

x = 13.127 cm

hope this helps</span>
5 0
3 years ago
Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k
Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

7 0
3 years ago
Rolando is 17. In four years, his age will be 3/2 the age of his sister Marisa. How old will Marisa be in three years
Bess [88]
To find the answer, we can first find the age of Rolando in four year:

17+4
=21

We can then proceed to find the current age of Marisa,which is 3/2 of Rolando’s age calculated above:

Let Marisa’s age be y.

3/2 y =21
y = 21 × 2/3
y = 42/3
y = 14

Therefore Marisa is currently 14 years old.

In three years, Marisa would be:

14+3
=17

Therefore, she will be 17 years old.

Hope it helps!
5 0
3 years ago
Jimmy ran at a speed of m miles. how far did he run in t minutes
beks73 [17]

Answer:

(mxt) miles

Step-by-step explanation:

speed = m \: miles \: per \:minute \\ time \:  = t \: minutes \\ speed =  \frac{distance}{time}  \\ m =  \frac{d}{t}  \\ m \times t \:  = d \\ d = (m \times t)miles

hope that this is helpful.

8 0
2 years ago
Two planes are 1380 miles apart and traveling toward each other. One plane is traveling
vaieri [72.5K]

Answer: plane 1: 420 mph; plane 2: 500 mph

Step-by-step explanation:

This is a physics exercise, but in order to solve this problem, you need to identify both planes first:

Let's call the plane 1 speed X

V1 = X

And V2 would be:

V2 = V1 + 80 = X + 80

If we combine both speeds:

V = V1 + V2 = X + X + 80 = 2X + 80

Now that we have an expression for the combined speed, let's see the rest of the data:

Distance: d = 1380 mile

Time: t = 1.5 h

We also know that the formula to get speed is:

V = d/t

We have the combined speed, so, let replace it in the above formula to solve for X:

2X + 80 = 1380/1.5

2X + 80 = 920

2X = 920 - 80

2X = 840

X = 840/2

X = V1 = 420 mph

We have V1, so to get V2:

V2 = 420 + 80 = 500 mph  

8 0
3 years ago
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