All categories

2 years ago

What is the constant of variation, k, of the direct variation, y=kx, through (5,8)

Mathematics

2 answers:

matrenka [14]2 years ago

9 0

Y = kx. If the graph of this line goes thru (5,8), then 8 = k(5), or k = 8/5 (ans)

velikii [3]2 years ago

6 0

Answer:

The constant of variation is $\frac{8}{5}$

Step-by-step explanation:

In order to find the constant of variation we have:

$y=kx$

Therefore

$k=\frac{y}{x}$

Now, we have the point (5,8); its coordinates are:

$(x,y) = (5,8)$

Therefore:

$x=5\\y=8$

Replacing values:

$k=\frac{y}{x}=\frac{8}{5}$

You might be interested in

Solve the linear equation for x -4.8(6.3x-4.18) =-58.56 X=

lyudmila [28]

Answer:

x= 2.6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0

2 years ago

Greatest common factor of 88 and 48

kupik [55]

GFC is 8. Use a tree of 88 and 48. 88= 2^3 x 11 or 2 x 2 x 2 x 11

48=2^4 x 3 or 2 x 2 x 2 x 2 x 3 see how many groups count as the number once and multiply and bam GFC. Hope I helped! (:

4 0

2 years ago

Which system of equations is inconsistent?

Agata [3.3K]

Answer:

Option A is correct.

The system of equation is inconsistent is;

2x+8y=6

5x+20y=2

Explanation:

* A system of equations is called an inconsistent system, if there is no solution because the lines are parallel.

* If a system has at least one solution, it is said to be consistent .

*A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions.

(A)

2x+8y=6

5x+20y=2

This is inconsistent, because as shown below in the graph of figure 1 that the lines do not intersect, so the graphs are parallel and there is no solution.

(B)

5x+4y=-14

3x+6y=6

this system of equation is Consistent because it has exactly one solution as shown below in the graph of Figure 2 and also it is independent.

(C)

x+2y=3

4x+6y=5

this system of equation is Consistent because it has exactly one solution as shown below in the graph of Figure 3.

(D)

3x-2y=2

6x-4y=4

this is a consistent system and has an infinite number of solutions, it is dependent because both equations represent the same line. as shown below in the graph of Figure-4.

Therefore, the only Option A system of equation is inconsistent.