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
den301095 [7]
3 years ago
8

What is the slope of a line that contains the points (2,2) and (4,4)

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

m = 1

Step-by-step explanation:

Slope is defined as m = rise / run.

As we move from (2,2) to (4,4), x increases by 2 and y increases by 2.

Thus, the slope of this line is m = rise / run = 2/2 = 1:  m = 1

You might be interested in
Pls,pls,pls,help me I will give lots of pound 100+ points
Bond [772]

Answer:

  1. 3log(10) -2log(5) ≈ 1.60206
  2. no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
  3. no; the given "property" is nonsense

Step-by-step explanation:

<h3>1.</h3>

The given expression expression can be simplified to ...

  3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

  = log(1000/25) = log(40) . . . . ≠ log(5)

  ≈ 1.60206

Or, it can be evaluated directly:

  = 3(1) -2(0.69897) = 3 -1.39794

  = 1.60206

__

<h3>2.</h3>

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

  ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

__

<h3>3.</h3>

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

  \log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})

Numerical evaluation of Mr. Kim's expression would prove him wrong.

  log(3)log(4) = (0.47712)(0.60206) = 0.28726

  log(7) = 0.84510

  0.28726 ≠ 0.84510

  log(3)log(4) ≠ log(7)

4 0
2 years ago
Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

6 0
3 years ago
What is the value of x?<br> a . 75<br> b . 25.5<br> c . 8<br> d . 4.5<br><br> help meeee
Rashid [163]

Answer:

d. 4.5

Step-by-step explanation:

10x-5=16x+22

    -22      -22

10x-27=16x

-10x      -10x

-27=6x

x=4.5

3 0
3 years ago
Read 2 more answers
In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?
Gnom [1K]

Answer:

m<N, m<L, m<M

Step-by-step explanation:

The angle that sees the longest side length has the bigger angle measurement

so the angles would be listed as following :

from smallest to largest :

m<N, m<L, m<M

6 0
3 years ago
A researcher is interested in the texting habits of high school students in the United States. The researcher selects a group of
vlabodo [156]

Answer:

(a)High school students in the United States.

(b)100 Students

(c)Statistic

Step-by-step explanation:

(a)Since the researcher is interested in the texting habits of high school students in the United States, the population for this study consists of all high school students in the United States.

(b)It is most often improbable to carry out research on an entire population of study. A <u>sample is taken to represent the population</u> and the results obtained from the sample are assumed to hold for the entire population.

In the given study, the researcher selects a group of 100 students to represent the High School students in the United States. This is the sample for the study.

(c)The researcher calculated the average number of text messages that each individual sends each day from the sample of 100 Students. This is an example of a Statistic. A statistic is a numerical data obtained from a sample.

Note: If the data were obtained from the entire population, it would be a <u>parameter.</u>

3 0
3 years ago
Other questions:
  • What is the end behavior of f(x)=5x^3-2x+5
    10·2 answers
  • Allison owns a music store and sells DVDs at $17.75 per DVD. If Craig orders 5 DVDs, how much does it cost?
    10·1 answer
  • Find the age of the skull to the nearest year.
    6·1 answer
  • The formulas for power and work are and , where P is the power, W is the work done, t is the time, F is the force, and d is the
    12·2 answers
  • Thomas is building rectangular boxes. The table shows the area in square feet, f(x), of the bottom of a box when one side of the
    13·2 answers
  • Anyone wanna play Ka Hoot?
    15·1 answer
  • The circle graph shows the number of cell phones sold at a local store. The darker shaded portion shows the number of cell phone
    6·1 answer
  • How many points of intersection do the following lines have y=3x-1 and 2y-6x=-2
    10·1 answer
  • Help!! <br> I need the answers ASAP
    14·1 answer
  • Write a two-column proof.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!