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Rus_ich [418]
1 year ago
10

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Find the gradient of the linear relation
Mathematics
2 answers:
vladimir1956 [14]1 year ago
8 0
  • 3y-5x=10

Isolate y

  • 3y=5x+10
  • y=5/3x+10/3

Compare to slope intercept form y=mx+b

Slope=m=5/3

kompoz [17]1 year ago
7 0

Answer:

\dfrac{5}{3}

Step-by-step explanation:

To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:

Given relation:

3y-5x=10

Add 5x to both sides:

\implies 3y-5x+5x=10+5x

\implies 3y=5x+10

Divide both sides by 3:

\implies \dfrac{3y}{3}=\dfrac{5}{3}x+\dfrac{10}{3}

\implies y=\dfrac{5}{3}x+\dfrac{10}{3}

<u>Slope-intercept form of a linear equation</u>

y = mx+b

where:

  • m is the slope (gradient)
  • b is the y-intercept

Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.

Learn more about linear equations here:

brainly.com/question/27317293

brainly.com/question/27781455

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1 year ago
(PLEASE HELP ) A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate,
blagie [28]

Answer:

r = d/t

r = 200, 000 meters/hour

r = 200, kilometers/hour

km/ hour makes more sense

Step-by-step explanation:

Given

) A falcon flies 800,000 meters in 4 hours.

thus distance = 800, 000 meters

1 km = 1000 meters

thus distance in km=  800, 000 meters/1000 = 800 km

t = h hours

Part A: Rearrange the distance formula, d = rt, to solve for rate.

d = rt

dividing both sides by t

d/t = rt/r = r

thus. r = d/t

Part B: Find the falcon's rate in meters per hour.

d = 800, 000 meters

t = 4 hours

r = 800, 000 meters/ 4 hours = 200, 000 meters/hour

thus, rate =  200, 000 meters/hour

Part C: Find the falcon's rate in kilometers per hour.

we know d in km = 800 km as shown above

thus

rate = 800 km/4 hours = 200 km/hour

Part D: Which unit, meters, or kilometres, makes more sense to use in this scenario, and why

we know that standard unit of speed is

km/hour and m/sec

we know that that every unit is divided into from to large so that if the value is large or small we can use the appropriate unit and thus it is simpler to look the data and analyze it.

since here distance is very large , hence it is better to use km /hour

6 0
3 years ago
Solve the equation 3x + 1/2(2x + 6) = 6x + 1
grigory [225]

Answer:

x = 1

Step-by-step explanation:

3x + 1/2 (2x + 6) = 6x + 1

3x + x + 3 = 6x + 1

4x + 3 = 6x + 1

2 = 2x

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3 years ago
Amount in Account
cluponka [151]

Answer:

The answer would be B

Step-by-step explanation:

Your mean is 602.4, and your median is 609

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3 years ago
If your chances of winning a game are 4 out of 10, that’s better than having chances of 2 out of 10.
Nina [5.8K]

Answer:

It is true.

Step-by-step explanation:

4/10 which is 0.4 is a higher probability than 2/10 which is 0.2.

Hope it helped :)

6 0
3 years ago
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