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Shtirlitz [24]
2 years ago
11

Find the equation of the line which has slope of -5 and y-intercept 7. Give your answer in the form y=mx+b

Mathematics
2 answers:
DiKsa [7]2 years ago
4 0

Good morning ☕️

Answer:

<h2>y = -5x + 7</h2>

Step-by-step explanation:

y=mx+b

m = slope = -5

b = y-intercept = 7

then the equation is : y = -5x + 7

:)

zhuklara [117]2 years ago
3 0

Answer:

y = - 5x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 5 and b = 7, thus

y = - 5x + 7 ← equation of line

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When traveling with the current, it takes Kamal 1 hour to travel 12 miles on a boat. It takes the boat 1.5 hours to travel the s
Sergeu [11.5K]

Answer:

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

Step-by-step explanation:

r = rate of boat (speed of boat)

t = time

d = distance.

c = rate of current (speed of current)

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against the current, the formula becomes (r - c) * t = d

going with the current, the boat takes 1 hour to travel 12 miles.

therefore:

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going against the current, the boat takes 1.5 hour to travel the same 12 miles.

therefore:

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your two equations that need to be solved simultancously are:

(r + c) * 1 = 12

(r - c) * 1.5 = 12

divide both sides of the second equation by 1.5 and leave the first equaion as is to get:

 

r + c = 12

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add the equations together to get:

2 * r = 20

solve for r to get:

r = 20 / 2 = 10

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(r - c) * 1 = 8 becomes (10 - c) * 1 = 8

simplify to get 10 - c = 8

solve for c to get c = 10 - 8 = 2

you have:

r = 10

c = 2

that's your solution.

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

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3 years ago
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