1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Black_prince [1.1K]
3 years ago
6

A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Equation is y = 4x + 5

Step-by-step explanation:

  • Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

  • Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
  • Step 3: Write the equation in slope-intercept form

⇒ y = 4x + 5

You might be interested in
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $33 for 4 turkey sandwiches. Anoth
shutvik [7]

Answer:

$12

Step-by-step explanation:

assuming that the cost of delivery is constant irrespective of the number ordered

Let the cost of sandwich be x

First office

$33=4x+c where c is the cost of delivery

Second office

$61=8x+c

These two are simultaneous equation. Subtracting the equation of first office from the second office we obtain

4x=28

Therefore, x=28/4=7

The cost of delivery is 33-(4*7)=33-28=5

Therefore, one sandwich plus delivery costs 7+5=$12

5 0
3 years ago
II The small capillaries in the lungs are in close contact with the alveoli. A red blood cell takes up oxygen during the 0.5s th
dangina [55]

The diffusion time of the red blood cell to take oxygen through the membrane is 25uS.

The small capillaries in the lungs are in close contact and it takes a red blood cell 0.5 seconds to squeeze through the capillary.

The diffusion time for the oxygen across the 1 um thick membrane separating the air is given by,

t = x²/2D

Where,

t is the diffusion time,

x is the thickness of the membrane,

D is the diffusion coefficient.

Putting values,

t = (1 x 10⁻⁹)²/2 x 2 x 10⁻¹¹

t = 10⁻⁷/4

t = 25 x 10⁻⁹ seconds.

t = 25 uS.

so, the diffusion time is 25uS.

To know more about Diffusion, visit,

brainly.com/question/94094

#SPJ4

3 0
1 year ago
What is an equation of the line that passes through the points (-4, -2) and (8, 1)? Put your answer in fully reduced form.
Alexxx [7]

Answer:

y=1/4x-1

Step-by-step explanation:

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

m=(1-(-2))/(8-(-4))

m=(1+2)/(8+4)

m=3/12

m=1/4

y-y1=m(x-x1)

y-(-2)=1/4(x-(-4))

y+2=1/4(x+4)

y=1/4x+4/4-2

y=1/4x+1-2

y=1/4x-1

8 0
3 years ago
On the coordinate plan, what is the distance between the points (−5, 2) and (−5, −10)? A) 7 B) 10 C) 12 D) 15
melomori [17]

Answer:

C)12

Step-by-step explanation:

-10 to 2 is 12 units away right?

3 0
3 years ago
Other questions:
  • Please help me with these questions I’m not very good with This topic
    13·2 answers
  • (3n)^2 without exponents
    13·2 answers
  • What fraction represents point p on The number line
    14·1 answer
  • A 36​-ft board is cut into 2 pieces so that one piece is 44 feet longer than 3 times the shorter piece. If the shorter piece is
    8·1 answer
  • Please answer me the question and find the graph and question number 2 find the area of the surface
    12·1 answer
  • How long will it take $50,000 take to double if it is compounded continuously at
    9·2 answers
  • Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple
    8·1 answer
  • I need help on this pre-calculus function about domain and range.​
    13·1 answer
  • What is 5x10=50+60=<br> have a nice day
    9·1 answer
  • What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!