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2 years ago

Write the equation of the line perpendicular to x+2y=6 that passes through (5, 8).

Mathematics

2 answers:

Bingel [31]2 years ago

6 0

Answer:

y = 2x - 2

Step-by-step explanation:

x + 2y = 6 can be solved for y (and thus for slope m) as follows:

2y = -x + 6, or y = (-1/2)x + 3.

Any new line perpendicular to this one has a slope that is the negative reciprocal of (-1/2); that would be +2.

Starting from y = mx + b,

Replace x with the given 5, y with the given 8 and m with the calculated +2:

8 = 2(5) + b, or

b = -2

and then the desired equation is

y = 2x - 2

maria [59]2 years ago

4 0

Answer:

y = 2x-2

Step-by-step explanation:

First find the slope of the line

x+2y=6

2y = -x+6

y = -1/2x +3

This is in slope intercept form ( y = mx+b) so -1/2 is the slope

We want a line that is perpendicular so take the negative reciprocal of the slope

- ( 1/ (-1/2)) = 2

The slope of the perpendicular line is 2

y = 2x+b

Substitute the point into the equation

8 = 2(5) +b

8 = 10+b

-2 =b

The equation of the line perpendicular is

y = 2x-2

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A car whose acceleration is constant reaches a speed of

Sergeu [11.5K]

Answer:

12.5 s

Step-by-step explanation:

If acceleration is constant, speed is proportional to time. To increase the speed by 50 km/h, the car will need an additional time given by ...

t/(50 km/h) = (20 s)/(80 km/h)

t = (20 s)(50/80) . . . . . multiply by 50 km/h

t = 12.5 s

It will take 12.5 more seconds for it to reach a speed of 130 km/h.

3 0

3 years ago

Read 2 more answers

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

Contact [7]

The expressions represent the total time of her trip in hours is $\rm \dfrac{80}{s} + \dfrac{50}{s+10}$ .

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

$\rm Distance = Speed \times Time$

For the first part of the journey:

Distance = 80 miles

Time = $\rm t_1$

And Speed = s

Substitute all the values in the formula,

$\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}$

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = $\rm t_2$

Substitute all the values in the formula,

$\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}$

Therefore,

Adding both the time to represent the total time of her trip in hours,

$\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}$

Hence, The required expressions represent the total time of her trip in hours is $\rm \dfrac{80}{s} + \dfrac{50}{s+10}$ .

For more details refer to the link given below.

brainly.com/question/21043759

6 0

2 years ago

What is the slope of the line through (3, 2) and (-3, 4)?

Angelina_Jolie [31]

Answer:

Slope =-1/3

Step-by-step explanation:

(3,2)..... x1 =3, y1=2

(-3,4).... x2=-3, y2 =4

Slope=(y2-y1) /(x2-x1)

Slope=(4-2) /(-3-3)

Slope =2/(-6)

Slope=-1/3

7 0

3 years ago

One reading an Antarctic research station showed that the temperature was -35 degrees Celsius what is this temperature in degree

Musya8 [376]

It is very simple it would be positive but would remain 35

4 0

3 years ago

A come and a pyramid has equal heights and volumes.if the base area of the pyramid is 154cm2.find the radius of the cone.

Dmitry_Shevchenko [17]

Answer:

Radius = 8.575 cm

Step-by-step explanation:

Formula for volume of a pyramid is;

V_p = ½Ah

Where A is area of base and h is height

Also, formula for volume of cone is given as;

V_c = ⅓πr²h

Now, we are told that V_p = V_c and that h is the same for both shapes.

Thus ;

½Ah = ⅓πr²h

h will cancel out to give;

½A = ⅓πr²

Cross multiply to give;

3A/2π = r²

Base area of pyramid is given as 154 cm². Thus;

(3 × 154)/2π = r²

r = √((3 × 154)/2π

r = 8.575 cm

4 0

2 years ago