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garri49 [273]
3 years ago
10

What is an equation in point-slope form for the line that passes through the points (4, -1) and

Mathematics
1 answer:
viktelen [127]3 years ago
8 0

Answer:

y+1=-5/7(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(4-(-1))/(-3-4)

m=(4+1)/-7

m=5/-7

m=-5/7

y-(-1)=-5/7(x-4)

y+1=-5/7(x-4)

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In a small town, the use of coal (W in tons/per
zimovet [89]

Answer:

i)W = 2500 / T

ii)  W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i)  Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if  W is use of coal in tons/per month then

W(t)  =   k / T              where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k  =  ??   we know that when   T  =  25°    W = 100 tons  the by subtitution

W = k/T           100  =  k /25       k  =  2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W  = DW(t)/dt î  

grad W  = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) =  - 2500/ 100 î      ⇒  grad W(10°) = - 25î

iv) When T =  0  The quantity of coal tends to infinite and the previous formulation is not practical

5 0
3 years ago
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual
Snowcat [4.5K]
SI = prt/100
1440 = (p*9*8)/100
⇒p=2000

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3 years ago
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2 years ago
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Question 1 (1 point)
Lapatulllka [165]
The correct answer would be 72.7%
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Elena L [17]

Answer:

The first one is 75 and the second one is 81

Step-by-step explanation:

put 187.5 into calculator then divide it by the bottom number/denominator in this case 2.5 and then you get 75

put 303.75 into calculator then divide it by the denominator or 3.75 and you get an answer of 81

so 81 miles per hour

I really hope this helps!

8 0
3 years ago
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