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3 years ago

What is the slope of 2y-2x=2

Mathematics

2 answers:

Anastaziya [24]3 years ago

6 0

Answer:

m = 1

Step-by-step explanation:

To easily find the slope of this equation, let's change it to slope-intercept form, y = mx + b.

2y - 2x = 2

Adding 2x to both sides, the equation becomes 2y = 2x + 2.

Dividing both sides by 2, the equation becomes y = x + 1.

The coefficient of x is the slope, and since there is no visible coefficient, that means the slope is 1 (AKA, x is being multiplied by 1).

vodomira [7]3 years ago

6 0

Answer:

Step-by-step explanation:

2y - 2x = 2

2y = 2x + 2

y = 2x/2 + 2/2

y = x + 1

Slope =1

{Compare with y =mx +b}

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A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water

Paha777 [63]

<u>Answer:</u>

Speed of the boat in still water = 6.125 miles/hour

<u>Step-by-step explanation:</u>

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming $S_b$ to be the speed of the boat in still water and $S_w$ to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

$Speed = \frac{distance}{time}$

$S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}$

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

$S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}$

Adding the two equations to get:

$S_b+S_w=\frac{d}{t_1}$

+ $S_b-S_w=\frac{d}{t_2}$

___________________________

$2S_b=\frac{d}{t_1} +\frac{d}{t_2}$

Solving this equation for $S_b$ and substituting the given values for $d,t_1, t_2$ :

$S_b=\frac{(t_1+t_2)d}{2t_1t_2}$

$S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}$

$S_b=\frac{(11 hour)(33mi)}{56hour^2}$

$S_b=6.125 mi/hr$

Therefore, the speed of the boat in still water is 6.125 miles/hour.

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3 years ago

Read 2 more answers

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Iteru [2.4K]

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2 years ago

What are the characteristics of the function f(x)=2(x-4)^5? Check all that apply

GaryK [48]

Answer:

Option B , C , E are characteristics of the function .

Step-by-step explanation:

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

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Option C is also correct.

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3 years ago