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3 years ago

The graph of the following system of equations is

Mathematics

2 answers:

maw [93]3 years ago

6 0

Answer:

They are the intersecting lines.

Step-by-step explanation:

We are given the graph of the system of linear equations:

−2x + y = 3

4x + 2y = 2

The lines overlap if the ordered vertices alternate between the two segments.
Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)

so clearly on solving by method of elimination or by graphing the graph of these two system of equations have a unique solution i.e. the solution is the intersecting points of the two line.

The intersecting point is: (-0.5,2)

Hence, they are intersecting lines.

eimsori [14]3 years ago

3 0

The answer is <span>C. Intersecting lines</span>

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Geometry help please :)

Serhud [2]

The angles of a triangle are right angles

90 = 1/3x + 8

82 = 1/3x

246 = x

Answer is B

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3 years ago

What two numbers multiply to be 12 and add to be -11?

Rus_ich [418]

Answer:

-12 and 1

Step-by-step explanation:

If you multiply 12 by 1 you get 12, hence if you add -12 and 1 now you will get -11

6 0

3 years ago

Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k

Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

7 0

3 years ago

A triangle is given by A ( 3,2 ) B (-1,5) and C (0,-1) . What is the equation of the line through B parallel to AC ( give ans an

Leokris [45]

Answer:

Step-by-step explanation:

Solution :

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1= -1 y_1= 5

m= the slope is : (YC - YA)/(XC -XA)

(-1-2)/(0-3) = -3/-3 =1

( parallel to AC means same slope)

an equation in the point-slope form is : y -5 = 1(x+1)

y=x+6

6 0

1 year ago

4x−3=16=4(x−3)=16 <br> Do they have the same solution?

AnnZ [28]

Answer:

Step-by-step explanation:

4x -3 = 16

x=19/4

4(x-3) = 16: Distribute the number in the parenthesis with 4 and you get:

4x-12=16

x=7

4x-12=16 is not the same as 4x-3=16

Therefore they do not have the same solution.

5 0

3 years ago

Read 2 more answers