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
vlabodo [156]
3 years ago
13

a linear function has the same y-intercept as x + 4y equals 16 and it's graph contains the point (4,5). Find the slope of the li

near function. ​
Physics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:  \bold{\text{Slope (m)}=\dfrac{1}{4}}

<u>Explanation:</u>

A linear equation is of the form: y = mx + b   where

  • m is the slope
  • b is the y-intercept (where it crosses the y-axis)

x + 4y = 16

     4y = -x + 16

       y = -\dfrac{1}{4}x+\dfrac{16}{4}

       y=-\dfrac{1}{4}x+4

The y-intercept (b) = 4

Next, find the slope given point (4, 5) and b = 4

y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\\dfrac{1}{4}=m\\\\\\\\\large\boxed{Slope (m)=\dfrac{1}{4}}

You might be interested in
A football player collides with another player. The force of the collision is
iragen [17]

Answer:

Impulse = 1000 Ns

Explanation:

Given the following data;

Force of collision = 1000 kg•m/s.

Time = 1 seconds

To find the impulse;

Mathematically, the impulse experienced by an object or body is given by the formula;

Impulse = force * time

Substituting into the formula, we have;

Impulse = 1000 * 1

Impulse = 1000 Ns

4 0
2 years ago
Need help on science please!
grigory [225]
Fossil fuels are formed when dead, buried, and decomposing organisms are compressed under extreme pressure and heat for millions of years. We need other sources of fuel today... s<span>trictly speaking you don't. But if we hold off developing alternatives until the fossil fuels truly run out, then there will be absolute chaos getting the new ones available. Thats all i got

</span>
3 0
3 years ago
A sailboat is traveling to the right when a gust of wind causes the boat to accelerate leftward at 2.5​​​​m​​/s2 for 4s. After t
Ber [7]

Answer:

+7.0 m/s

Explanation:

Let's take rightward as positive direction.

So in this problem we have:

a = -2.5 m/s^2 acceleration due to the wind (negative because it is leftward)

t = 4 s time interval

v = -3.0 m/s is the final velocity (negative because it is leftward)

We can use the following equation:

v = u + at

Where u is the initial velocity

We want to find u, so if we rearrange the equation we find:

u = v - at = (-3.0 m/s) - (-2.5 m/s^2)(4 s)=+7.0 m/s

and the positive sign means the initial direction was rightward.

6 0
3 years ago
Can you please help me figure out the work for the missing quantities?
marysya [2.9K]

Answer: set up proportions

Explanation:

8 0
3 years ago
Why wil an ice cube melt if it is compressed even if it remains at the same temp
Gnoma [55]
No, it will only melt if the temperature is lowered. If you compress it, it will change the shape, but it will not change the state it is in (i.e. solid).
8 0
3 years ago
Other questions:
  • A magnetic field is uniform over a flat, horizontal circular region with a radius of 1.50 mm, and the field varies with time. In
    8·1 answer
  • This timeline correctly shows the order of time periods in the Mesozoic Era.
    14·2 answers
  • When a force is applied to an object for an amount of time, it is known as __________.
    6·2 answers
  • The impact of the type of material of which the slope is made on acceleration?
    11·2 answers
  • An instructor’s laser pointer produces a beam of light with a circular cross section of diameter 0.900 mm and a total power outp
    8·1 answer
  • A coil of 160 turns and area 0.20 m2 is placed with its axis parallel to a magnetic field of initial magnitude 0.40 T. The magne
    6·1 answer
  • The density of atmosphere (measured in kilograms/meter3) on a certain planet is found to decrease as altitude increases (as meas
    14·1 answer
  • The gravitational force exerted on a baseball is 2.24 N down. A pitcher throws the ball horizontally with velocity 17.0 m/s by u
    14·1 answer
  • Each of the rods depicted below were machined from same stock metal. They were originally machined to be the same length, but th
    8·1 answer
  • What is international system of units?​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!