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3 years ago

There can only be one line drawn through two points. True False

Mathematics

1 answer:

Vitek1552 [10]3 years ago

8 0

Answer:

TRUE

Step-by-step explanation:

Two distinct points define a unique straight line. TRUE

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Please help me thank you

Inessa [10]

Answer:

D) Perpendicular

Step-by-step explanation:

Red: 5y+4x=-30

Blue: y=5/4x-5

3 0

3 years ago

21=m+14 1/6 What is m? PLEASE ANSWER QUICKLY

aivan3 [116]

Answer:

m= 6.83, m= 41/6

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

A line is perpendicular to y = -x + 1

frozen [14]

Answer: The equation of the perpendicular line intersects the point (-5,1) is y=x+6[/tex]

Step-by-step explanation:

step1:-

The standard form of slope - intercept form y=m x+c

Here m is called slope of the given line

C is called the y- intercept of the given line

Given equation of the straight line y=-x+1

comparing the slope - intercept form y=m x+c

here m= -1 and c=1

step2:-

The equation of the perpendicular line is

$y-{[y_{1}$ } =\frac{-1}{m} (x-x_{1} )[/tex]

substitute m = -1 and c =1 values in equation

$y-1 =\frac{-1}{-1} (x-(-5 )$

$y-1 ={1} (x-(-5 )$

$y=1+x+5\\y=x+6$

step3:- The equation of the perpendicular line intersects the point (-5,1) is

y=x+6[/tex]

conclusion:-

The equation of the perpendicular line is

y=x+6[/tex]

4 0

3 years ago

You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 15 km/hr and your

Viefleur [7K]

Answer:

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin (2πt))

b) the foot have to be 3.32 rev/sec faster

Step-by-step explanation:

Given that:

the speed of the bike = 15 km/hr = 15 × 1000/3600 (m/sec) = 4.167 m/sec

radius of the circle when the foot moves = 20 cm = 0.2 m

radius of the circle above the ground = 30 cm = 0.3 m

Let assume that:

x(t) should represent the vector along the horizontal moment

y(t) should be the vector along the vertical moment

The initial component will be ( 0, 0.3)

We know that the radius of the circle is given as 0.2 m, So the vector of the circle can be written as (0.2 cos t , 0.2 sin t )

Also, the foot makes one revolution in a second, definitely the frequency of the revolution = 1 and the vector for the circle is ( 0.2 cos (2πt), -0.2 sin (2πt)), due to the fact that the foot moves clockwise.

Thus, adding all the component together ; we have:

(x(t), y(t)) = (0,0.3)+(4.167 t , 0)+(0.2 cos (2πt), -0.2 sin (2πt))

(x(t), y(t)) = (4.167 t + 0.2 cos (2πt), 0.3 - 0.2 sin (2πt))

Hence; the parametric equations are:

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin (2πt))

The linear speed of rotation is :

15km/hr = 15 × 100, 000/3600 (cm/sec)

= 416.7 cm/sec

The rotational frequency is :

= 416.7/2πr

= 416.7/2(3.14 × 20)

= 3.32 rev/sec

Hence, the foot have to be 3.32 rev/sec faster in rotating if an observer standing at the side of the road sees the light moving backward.

4 0

4 years ago

Read 2 more answers

What is the answer for the expression -450(2t-7)?

Allushta [10]

Answer:

-900t+3150

Step-by-step explanation:

hope this is correct and helpful!! c:

8 0

3 years ago