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
lara31 [8.8K]
3 years ago
12

Is the relationship shown by the data linear? If so, model the data with an equation.

Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is

Linear Relationship i.e y-5=2(x+7)

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -7, 5 )  

point B( x₂ , y₂) ≡ (-5, 9)  

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(5))=(\frac{9-(5)}{-5--7})\times (x--7)\\ \\(y-5)=\frac{4}{2}(x+7)\\\\y-5=2(x+7)...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9 ) is

Linear Relationship i.e y-5=2(x+7)

You might be interested in
If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function
Naddik [55]

Answer:

The equation of the new function is g(x) = \frac{\sqrt{x}}{2}

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

f(x) = \sqrt{x}

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}

The equation of the new function is g(x) = \frac{\sqrt{x}}{2}

7 0
3 years ago
Describe a situation when you might not want to clear fractions in an equation.
Studentka2010 [4]
Well, to get rid of them, you would have to add or subtract that fraction to both sides of the equation (making them still equal to each other), so it would just get too complicated to completely get rid of a fraction.  That is, if you don't need to.
3 0
3 years ago
Which expression is equivalent to x ^-5/3
vazorg [7]

Answer:

The second answer choice

Move  

x ^-5 to the denominator

6 0
3 years ago
Following three questions refer to the information below. A coal-fired power plant produces and sells 10,000 MW electricity whil
natita [175]

Answer: Heat rejected=150000MW

Heat rate= 2.5

Step-by-step explanation:

Thermal efficiency is defined as work out divided by heat in.

Therefore

thermal efficiency = 40/100= 100000 MW/Heat in

Heat in = 250000MW

For a closed system undergoing a cycle the change in internal energy is zero. Therefore the work out of the system is equal to the net heat transfer of the system. Therefore

Work out= heat in - heat out

Therefore heat out = heat in - work out

Heat out = 250000 MW - 100000MW = 150000 MW which is the amount of heat rejected

The heat rate is defined as the inverse of the thermal efficiency expressed in kJ/kWh.Therefore

Heat rate = 1/thermal efficiency

Heat rate = 1/0.4 = 2.5 kJ/kWh

4 0
3 years ago
3/4 of 1/3 =? please show me how to do it
inysia [295]
I haven’t done this in a while, but I believe that the “of” in the equation means multiply so you do 3/4 x 1/3 to get 3/12 (simplified to 1/4)!!
7 0
2 years ago
Other questions:
  • What property can we apply to isolate the term, 0.25f?
    13·1 answer
  • How do you add fractions
    11·2 answers
  • Solve using Distributive property -3(-4v^3-2+2y^2)
    10·1 answer
  • Caroline flips a coin 3 times. According to the tree diagram, how many possible outcomes exist?
    10·1 answer
  • Which could be the area of one face of the rectangular prism select three options
    12·2 answers
  • mr. slone said that his car was worth $30,000 when it was purchased. However, over last 3 years it has decreased in value $5400.
    6·1 answer
  • Which measure of central tendency is least appropriate for describing the given data set?. 6, 6, 6, 7, 8, 8, 29. . a. mode. b. m
    13·1 answer
  • Plz help! It's another probability question! Whoever answers correctly gets marked as brainliest!
    10·1 answer
  • The complex number -5i has the complex trigonometric form of 5(cos 270° + isin 270)
    11·1 answer
  • Find an area of a circle​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!