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Nookie1986 [14]
4 years ago
10

Question 2 of 5

Mathematics
1 answer:
Mice21 [21]4 years ago
4 0

Answer:

30

Step-by-step explanation:

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Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M
HACTEHA [7]

Answer:

The equation of line M in slope intercept form is    y=\frac{3}{2}x+1

The equation of line M in standard form is  3x-2y=-2

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the points

(2,4) and (0,1)

substitute

m=\frac{1-4}{0-2}

m=\frac{-3}{-2}

m=\frac{3}{2}

step 2

Find the equation of the line M in point slope form

y-y1=m(x-x1)

we have

m=\frac{3}{2}

point\ (0,1)

substitute

y-1=\frac{3}{2}(x-0)

y-1=\frac{3}{2}x ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

y=mx+b

Isolate the variable y in the equation of the line in point slope form

y-1=\frac{3}{2}x

Adds 1 both sides

y=\frac{3}{2}x+1

step 4

Find the equation of the line M in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

we have

y=\frac{3}{2}x+1

Multiply by 2 both sides

2y=3x+2

3x-2y=-2 ---> equation in standard form

7 0
3 years ago
Karen drives straight south on Interstate 405 from the Santa Monica Freeway interchange going 10 miles per hour faster than Meli
natima [27]

Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

<h3>Equation for speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent Karen speed and b represent Melinda speed, hence:

a = b + 10

a - b = 10   (1)

Also:

a = d₁ / 1

d₁ = a

b = d₂/ 1 hour

d₂ = b

Since they are 108 miles apart, using Pythagoras:

108² = d₁² + d₂²

a² + b² = 11664

(b + 10)² + b² = 11664

b = 71.2 mph, a = 81.2 mph

Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.

Find out more on speed at: brainly.com/question/4931057

5 0
2 years ago
What is the volume of the rectangular prism? help asap
nalin [4]

Answer:

V=whl=3·9·7=189, Which is 189.

Step-by-step explanation:

6 0
3 years ago
CAN SOMEONE PLEASE HELP
Sunny_sXe [5.5K]

It is most probably 30

cause you add 24, 30, 36

then divide it by 3

that is how i learnt it

5 0
3 years ago
Add 6 to the quotient of j and k
BARSIC [14]

Answer:

     j/k + 6

Step-by-step explanation:

Add 6 to the quotient of j and k comes out to:

                                  j/k + 6

4 0
3 years ago
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