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Anestetic [448]

2 years ago

13

Write an equation that is parallel to the line 3x-2y=5 and passes through the point (1,2).

2 answers:

ankoles [38]2 years ago

6 0

Answer:

Parallel lines will have the same slope, so m=3. The point (0, 2) is on the y-axis so it can be used as the y-intercept of the line; b=2. This gives rise to the equation: y= 3x + 2

Step-by-step explanation:

stepladder [879]2 years ago

5 0

Answer:

Parallel lines will have the same slope, so m=3. The point (0, 2) is on the y-axis so it can be used as the y-intercept of the line; b=2. This gives rise to the equation: y= 3x + 2

Step-by-step explanation:

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Determine the average speed of the current in a river if a boat moves at 20 miles/hour in still water and takes 3 hours to trave

Taya2010 [7]

The speed of the current in a river is 6 miles per hour

<em><u>Solution:</u></em>

Given that,

Speed of boat in still water = 20 miles per hour

Time taken = 3 hours

Distance downstream = 78 miles

To find: Speed of current

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: </u></em>

Speed downstream = (u + v) km/hr

Speed upstream = (u - v) km/hr

<em><u>Therefore, speed downstream is given as:</u></em>

$\text{ speed downstream } = \frac{distance}{time} = \frac{78}{3}\\\\\text{ speed downstream } = 26 \text{ miles per hour }$

We know that,

Speed downstream = (u + v)

26 = 20 + v

v = 26 - 20

v = 6 miles per hour

Thus speed of the current in a river is 6 miles per hour

3 0

3 years ago

63% of 300 is what number

PolarNik [594]

Answer:

189

Step-by-step explanation:

You take 63% make it a decimal by dividing it by 100 and then you multiply it with 300. 300*.63=189.

6 0

3 years ago

Read 2 more answers

12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely

AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is $6 a b^{2}(a+2)(2 a-1)$

<u>Solution:</u>

Given, expression is $12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

We have to factorize the given expression completely.

Now, take the expression

$12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

Taking $b^2$ as common term,

$b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)$

Taking "a" as common term,

$b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)$

Taking "6" as common term,

$b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)$

Splitting "3a" as "4a - a" we get,

$b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)$

$\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}$

Hence, the factored form of given expression is $6 a b^{2}(a+2)(2 a-1)$

4 0

3 years ago

a jet climbs at a steady rate at an angle of inclination of 0.5 degrees during takeoff. What will its height be after a 2.2km in

Reil [10]

19.2m is the answer.

6 0

2 years ago

Alex Ar [27]

Answer:

Step-by-step explanation:

y=mx+b

y-intercept= 1

b=1

point (5,4)

x=5

y=4

y=mx+b

4=m(5)+1

5m=3

m=3/5

rate of change = 3/5

5 0

2 years ago

Read 2 more answers