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
Eddi Din [679]
2 years ago
15

The solution of two linear equations is (-2,2). One equations has a slope of 3. The slope of the other equation is the negative

reciprocal of the slope of the first.
The system described above is represented by the following equations.

Mathematics
2 answers:
sineoko [7]2 years ago
5 0

Answer:

Its true ⇒ answer (a)

Step-by-step explanation:

* The solution of two linear equation means that this solution

  is a solution for each equation

* To check if the point is a solution of an equation

- Substitute its coordinates in the equation, if the left hand side

 is equal the right hand side, then the point is a solution

 of this equation

* Lets study our problem

- (-2 2) is the solution of two linear equations

- The slope of one equation is 3

- The slope of the second equation is the negative reciprocal

 of the slope of the first, means = -1/3

* Check the this conditions in the given equations

- In the equation y = 3x + 8 ⇒ the slope = 3

- In the equation y = -1/3 x + 4/3 ⇒ the slope = -1/3

* Now lets substitute the solution (-2 , 2) in the both equations

- First equation

∵ y = 2 ⇒ L.H.S

∵ 3(-2) + 8 = 2 ⇒ R.H.S

∵ L.H.S = R.H.S

∴ (-2 , 2) is a solution of the equation y = 3x + 8

- Second equation

∵ y = 2 ⇒ L.H.S

∵ (-1/3)(-2) + 4/3 = 2/3 + 4/3 = 6/3 = 2 ⇒ R.H.S

∵ L.H.S = R.H.S

∴ (-2 , 2) is a solution of the equation y = -1/3 x + 4/3

∴ (-2 , 2) is the solution of the two equations

* Its true

Irina-Kira [14]2 years ago
4 0

Answer:

true

Step-by-step explanation:

You might be interested in
Calculate to the nearest 1/10th meter the length of the side of a 7th, 12th, and 30th hectare square plot.
Tems11 [23]

Answer and explanation:

To find : Calculate to the nearest 1/10th meter the length of the side of a 7th, 12th, and 30th hectare square plot.

Solution :

The area of the square is given by,

A=s^2 where s is the side length.

We know,  1 \text{ hectare}=10,000\ m^2

1) The area of square plot is 7 hectare.

Area in meter square is A=7\times 10000=70000\ m^2

Substitute the value in the formula,

70000=s^2

\sqrt{70000}=s

264.57=s

Side nearest to 1/10th meter is 264.8 meter.

2) The area of square plot is 12 hectare.

Area in meter square is A=12\times 10000=120000\ m^2

Substitute the value in the formula,

120000=s^2

\sqrt{120000}=s

346.41=s

Side nearest to 1/10th meter is 346.4 meter.

3) The area of square plot is 30 hectare.

Area in meter square is A=30\times 10000=300000\ m^2

Substitute the value in the formula,

300000=s^2

\sqrt{300000}=s

547.72=s

Side nearest to 1/10th meter is 547.7 meter.

5 0
2 years ago
Who else uses time4learning? am i the only one?
Greeley [361]

Answer:

i think i used it before

Step-by-step explanation:

5 0
2 years ago
Calculus Question, just the first line. Other stuff is just my work...
aleksandr82 [10.1K]
What are you even asking us
8 0
3 years ago
You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games
Amanda [17]

Answer:

y=-3x+48

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: y=mx+b, where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: m=\frac{y_2-y_1}{x_2-x_1},

m=\frac{21-33}{9-5}

m=\frac{-12}{4}=-3

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

33=-3\cdot 5+b    

33=-15+b    

33+15=b    

48=b    

Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

y=-3x+48

Therefore, our desired equation will be y=-3x+48.

6 0
3 years ago
Please help need answer asp
Katena32 [7]
90 degrees, a right triangle has 1 right angle which is 90 degrees

3 0
3 years ago
Read 2 more answers
Other questions:
  • There are 12 pieces of fruit in a bowl five are lemons and the rest are limes. You choose a piece of fruit without looking. The
    8·1 answer
  • consider the following set of equations: equation a: y = 2x 4 equation b: y = 3x 1 which of the following is a step that can be
    8·2 answers
  • A number minus one is at the most nine, or two times the number is at least twenty-four.
    13·1 answer
  • In the trapezoid at the right, BE= 2x-8, DE= x-4, and AC= x+2
    13·1 answer
  • A bathroom scale is most likely measuring in ??
    11·1 answer
  • Five pennies, 3 dimes, and 4 quarters are placed in a bag. What is the probability of selecting a penny and then a dime, given t
    8·1 answer
  • 6.SP.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its
    11·1 answer
  • What is the perimeter of a rectangle with an area of 2x^2+11x+5 in^2?​
    9·1 answer
  • Hellpppppp please I will give brainliest​
    7·2 answers
  • Can someone help me with this problem pleaseee
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!