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dedylja [7]
2 years ago
10

What is the slope of a line perpendicular to the line whose equation is y = 2x+5?

Mathematics
2 answers:
guapka [62]2 years ago
8 0

Answer:

Slope m_{2} = \frac{-1}{2}.

Step-by-step explanation:

Given  :  equation is y = 2x+5.

To find : What is the slope of a line perpendicular to the line.

Solution : We have given y = 2x+5.

On comparing by the slope form of line is

y = mx + b

where, m = slope , b = y-inercept.

So , m_{1} = 2 .

When the two line are perpendicular to each other then thier slope is

m_{2} = \frac{-1}{m_{1}}.

Then plug the value of  m_{1} = 2 .

m_{2} = \frac{-1}{2}.

m_{2} = \frac{-1}{2}.

Therefore, Slope m_{2} = \frac{-1}{2}.

zubka84 [21]2 years ago
4 0

Answer:

slope = - \frac{1}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 5 is in this form with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}

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Hope this is what you're looking for :)
3 0
2 years ago
Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willi
Fiesta28 [93]

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on  12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending  $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

 12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1  from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

5 0
3 years ago
The equation that has a graph with a slope of -5/2 and passes through (6,-6)
timama [110]
The answer is y=-5/2x+9 and the picture includes the equation and points. Hopefully, this helps.

5 0
3 years ago
the first Indianapolis 500 auto race took place in 1911. the winning car covered the 500 miles in 6.7 hours. what was the winnin
Vesna [10]

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                         =        (500 miles)      /    (6.7 hours)

                         =            (500 / 6.7)  (mile/hour)

                         =                    74.63 miles per hour.

I imagine there were quite a number of pit stops included in that.

This is faster than I expected when I first read your question.
That's really gettin' with it for cars in 1911 !

4 0
3 years ago
2x²-5x-12=0 (simplify solution set)
Arada [10]

Answer:

x = 4 or x = -3/2

Step-by-step explanation:

To simplify and solve this, let's use the quadratic formula.

So the format of a quadratic equation is supposed look like this:

ax^2+bx+c=0

Let's find a, b, c:

  • a is the coefficient of x^2
  • b is the coefficient of x
  • c is the constant term

Now let's solve the equation.

Let's solve your equation step-by-step.

2x^2−5x−12=0

For this equation: a=2, b=-5, c=-12

2x^2+−5x+−12=0

Step 1: Use quadratic formula with a=2, b=-5, c=-12.

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}

x=\frac{5\pm\sqrt{121} }{4}

x=4 or x=\frac{-3}{2}

<u />

<u>Answer:</u>

x = 4 or x = -3/2

7 0
1 year ago
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