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2 years ago

Consider the line y = 5/2x.

Mathematics

1 answer:

Trava [24]2 years ago

3 0

Answer:

Perpendicular: -2/5

Parallel: 5/2

Step-by-step explanation:

The slope-intercept formula is y=mx+b, where mx is the slope.

So in the equation y = 5/2x, 5/2 is understood as the slope.

To find a perpendicular slope you have to do the opposite (sign), reciprocal (flip denominator and numerator) of the original number.

Therefore 5/2 become negative, and then the numerator and denominator switch sides. (-2/5)

Parallel slope is the exact same as the original one so nothing changes. (5/2)

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What is the relative frequency of plastic buttons with four holes? Round to the nearest hundredth, if needed.

Anna71 [15]

Relative frequency of plastic buttons with four holes is 28/80 = 0.35

Relative frequency of plastic buttons with two holes is 15/80 = 0.1875
Relative frequency of wooden buttons with two holes is 34/80 = 0.425
Relative frequency of wooden buttons with four holes is 3/80 = 0.0375

0.35 + 0.1875 + 0.425 + 0.0375 = 1

8 0

3 years ago

Suppose lines EF and GH are reflected over the line Y equals X to form the lines JK and LM which statement would be true about t

katrin [286]

Answer:

A) JK and LM will be parallel to each other.

Step-by-step explanation:

On reflection on $y=x$ line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

$(x,y)\rightarrow (y,x)$

Points on line EF

$(0,6) , (-5,-2)$

On reflection of this line on $y=x$ the new points we get for line JK are

$(6,0),(-2,-5)$

Points on line GH

$(-4,9),(-9,1)$

On reflection on y=x line the new points we get for line LM are

$(9,-4),(1,-9)$

Slope of line JK

$m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-5)-0}{(-2)-6} \\m=\frac{-5}{-8}=\frac{5}{8}$

Slope of line LM

$m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-9)-(-4)}{1-9} \\m=\frac{-9+4}{-8}=\frac{-5}{-8}\\m=\frac{5}{8}$

For two line to be parallel, their slopes will be same.

$m_{JK} =\frac{5}{8} , m_{LM}=\frac{5}{8}$

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.

5 0

3 years ago

16) (1 Point) : Solve the equation

Marat540 [252]

Answer:

(B)

4 +/- 3 sqrt(2) or 4+3sqrt(2) and 4-3sqrt(2)

Step-by-step explanation:

4(c-4)^2=72

4(c-4)(c-4)=72

foil the parenthesis (first, outside, inside, last)

4(c^2 -4c -4c +16)=72

4(c^2-8c+16)=72

divide each side by 4

c^2-8c+16=18

subtract 18 from both sides

c^2-8c-2

use quadratic formula

((-b +/- sqrt((-b^2)-4ac)))/2a

((-(-8)+/-sqrt((-8)^2-4(1)(-2)))/2(1))

(8+/-sqrt(64-(-8)))/2

(8+/-sqrt(64+8))/2

(8+/-sqrt(72))/2

(8+/-sqrt(36 * 2))/2

(8+/-6sqrt(2))/2

4+/-3sqrt(2)

or 4+3sqrt(2) and 4-3sqrt(2)

3 0

2 years ago

how much time will it take a car to travel 60 kilometers if the car is traveling at an average speed of 40km/hr?

lbvjy [14]

In the question, we are given with speed of a car and the distance it have to travel.

Given:

Speed of the car = 40 km/hr.
Distance to travel = 60 km

So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.

This can be easily done by using the Speed, Distance and Time formula which says:

$\large{ \boxed{ \bf{Distance = Speed \times Time}}}$

So, let's solve by using this formula.

⇛ s = v × t

⇛ 60 km = 40 km/hr × t

⇛ t = 60 km / 40 km/hr

⇛ t = 3/2 hr.

⇛ t = 90 mins or 1 1/2 hours

So, time the car will take to travel 60 km:

$\large{ \boxed{ \bf{ \purple{t = 1 \dfrac{1}{2} hr}}}}$

And we are done !!

#CarryOnLearning....

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7 0

2 years ago

If x=9 and y=−3, evaluate the following expression:4/x−yGive your answer as a fraction in its simplest form.

qwelly [4]

Answer:1/3
4/9-(-3)=4/12=
1/3

6 0

2 years ago

Read 2 more answers