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Alexus [3.1K]
3 years ago
10

Find the slope of the line through the following points (3,-20) and (5,8) m =

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer: m=14

Step-by-step explanation:

To find the slope, we use the formula m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }. Since we are given 2 points, we can use those points to plug in.

m=\frac{8-(-20)}{5-3} =\frac{28}{2} =14

Our slope is m=14.

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The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions
mr_godi [17]

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

   L be the length of the rectangle

   w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2

  or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5

-5 is not valid ,because w represents the width

which must be a positive number

Then  w = 2

<u><em>Conclusion</em></u>:

Width = 2

Length = 2 + 3 = 5

6 0
2 years ago
The taxi fare in a city is as follows: For the first kilometer, the
Ksju [112]

Answer:

The linear equation is y = 6 x + 9

The graph is attached down

Step-by-step explanation:

The given information:

The cost of 1st km is 9 Rs

The cost of every kilometer after the first is 6 Rs

x represents the number of km

y represents the total cost of x km

The form of the linear equation is

y = m x + b, where

  • m is the slope of the line (rate of change)
  • b is the y-intercept (initial value)

From the given information above

m = 6 Rs/km

b = 9 Rs

Substitute them in the form of the equation

y = 6 x + 9

The graph:

3 0
3 years ago
Which expressions is equivalent shown?
Zolol [24]

Answer:

I see no picture

Step-by-step explanation:

7 0
3 years ago
Factor each completely. <br><br>10a² - 9a + 2 <br><br>​
Sophie [7]

Answer:

a= \frac{2}{5} or \frac{1}{2}

Step-by-step explanation:

Equate the equation to zero

10a^{2}-9a+2=0

10a^{2}-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2  OR  2a=1

a= \frac{2}{5}   OR a= \frac{1}{2}

a=\frac{2}{5} or \frac{1}{2}

3 0
3 years ago
In a company, 75% of the workers are men. If 1,025 women work for the company, how many workers are there in all?
Margaret [11]
4100 workers. just multiply by 4
6 0
3 years ago
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