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2 years ago

What is the equation of a line through the points (0, 9) and (3, 0)?

Mathematics

2 answers:

erastova [34]2 years ago

7 0

Answer:

m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.

x/(x-intercept) +y/(y-intercept) = 1

x/3 +y/9 = 1

Multiplying by 9 gives ...

3x +y = 9

This can be rearranged to the slope-intercept form ...

y = -3x +9

_____

The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.

kakasveta [241]2 years ago

4 0

Answer:

because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

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A water mill grinds corn to make cornmeal. The water wheel has a radius of 18 feet. The wheel is rotating at 8 revolutions per m

Genrish500 [490]

Answer:

904.9 feet per minute

Step-by-step explanation:

The Angular distance can be calculated using below expression

S= r θ ..............eqn(1)

Where

θ = angular distance travelled

r= Radius= radius of 18 feet

But angular distance can also be expressed as

θ = wt...................eqn(2)

w= angular speed= 8 rev per minute= (8 × 2π)

t= time

Velocity can also be expressed as

V= s/t............eqn(3)

Where

V= velocity

s= distance

t= time

Substitute eqn(2) into eqn(3)

V=( r θ)/ t................eqn(4)

Substitute eqn(2) into eqn(4)

V=( r w t)/ t

V= r w ..............eqn(5)

V= 18×(8 ×2π)

=288π

= 904.9 feet per minute

Hence, the linear speed, in feet per minute, of the water. is 904.9 feet per minute

6 0

2 years ago

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of th

mina [271]

Well we set the perimeter to 120 feet.
This means that 2x+2y=120
Now we know the area of a rectangle is xy so we have to solve for both x and y in the perimeter equation.

2x=120-2y
x=60-y

2y=120-2x
y=60-x

Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)

7 0

2 years ago

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It shipped traveled for a total of 85 miles over the course of five hours heading west the ship travels and average of 14 mph an

adoni [48]

complete question:

A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?

Answer:

The ship heading north traveled for 3 hours

Step-by-step explanation:

A ship travels for a total of 85 miles over the course of 5 hours journey. The speed of the journey can be calculated below.

speed = distance/time

total distance = 85

total time = 5 hours

speed = 85/5

speed = 17 miles/hr

West direction

Heading west the ship traveled at an average speed of 14 miles per hour. The speed can be represented for this journey as follows.

speed = distance/time

14 = dist/time

let

a = time traveled west

distance = 14a

North direction

speed = dist/time

19 = dist/time

time travel north = 5 - a

distance = 19(5 - a)

distance = 95 - 19a

Total distance traveled = 85 miles

85 = 14a + 95 - 19a

85 = -5a + 95

-10 = -5a

a = -10/-5

a = 2

The ship heading north will travel for 5 - 2 = 3 hours

5 0

2 years ago

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In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence

expeople1 [14]

The question in part c is not clear, nevertheless, part a and part b would be solved.

Answer:

a. The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

b. The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Step-by-step explanation:

a. Given

an + 2 = an + an + 1

where a1 = 1 and a2 = 1.

a3 = a1 + a2

= 2

a4 = a2 + a3

= 3

a5 = a3 + a4

= 5

a6 = a5 + a4

= 8

a7 = a6 + a5

= 13

a8 = a7 + a6

= 21

a9 = a8 + a7

= 34

a10 = a9 + a8

= 55

a11 = a10 + a9

= 89

a12 = a11 + a10

= 144

The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

(b)

Given

bn = an+1/an

b1 = a2/a1

= 1/1 = 1.000

b2 = a3/a2

= 2/1 = 1.000

b3 = a4/a3

= 3/2 = 1.500

b4 = a5/a4

= 5/3 = 1.667

b5 = a6/a5

= 8/5 = 1.600

b6 = a7/a6

= 13/8 = 1.625

b7 = a8/a7

= 21/13 = 1.615

b8 = a9/a8

= 34/21 = 1.619

b9 = a10/a9

= 55/34 = 1.618

b10 = a11/a10

= 89/55 = 1.618

The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

6 0

2 years ago

A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. Th

Sedaia [141]

Answer: the y-intercept is the starting height of the plant

Step-by-step explanation:

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2 years ago

Read 2 more answers